{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Overlapping Mixtures of Gaussian Processses\n",
    "\n",
    "*Valentine Svensson 2015 <br> (with small edits by James Hensman November 2015)*\n",
    "\n",
    "This illustrates use of the OMGP model described in\n",
    "\n",
    "**Overlapping Mixtures of Gaussian Processes for the data association problem**  \n",
    "_Miguel Lázaro-Gredilla, Steven Van Vaerenbergh, Neil D. Lawrence_  \n",
    "Pattern Recognition 2012\n",
    "\n",
    "The GPclust implementation makes use of the collapsed variational mixture model for GP assignment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import GPy\n",
    "from GPclust import OMGP\n",
    "import matplotlib\n",
    "matplotlib.rcParams['figure.figsize'] = (12,6)\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Diverging trend seperation\n",
    "\n",
    "One application of the OMGP model could be to find diverging trends among populations over time. Imagine for example two species evolving from a common ancestor over time.\n",
    "\n",
    "We load some pre-generated data which diverge over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "XY = np.loadtxt('../data/split_data_test.csv', delimiter=',', skiprows=1, usecols=[1, 2])\n",
    "X = XY[:, 0, None]\n",
    "Y = XY[:, 1, None]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAs0AAAFwCAYAAABD80a3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3X+wZOV93/n39w7o1oA8Hu6lCiKBwXFkWSbI8qgs44Tg\n",
       "cWEYrK0yC96ySpGyhDiOWEu5xjOUJU9ki4qU2ShhJnjilZCQLLErl7VJbBY5JcFQG0/ZpZIUazA/\n",
       "Fg1CWBYFKFLCjMjYAk1g5tk/zrncvvd29+k+P/qc7n6/qp6a292n+zx9bk/35z79Pc8TKSUkSZIk\n",
       "DbbQdgckSZKkrjM0S5IkSQUMzZIkSVIBQ7MkSZJUwNAsSZIkFTA0S5IkSQUqh+aI+N2I+HZEPDLg\n",
       "9rdFxEMR8XBEfD4iXl91n5IkSdIk1THS/AngmiG3fx24IqX0euD9wEdr2KckSZI0MZVDc0rpT4Hv\n",
       "DLn9Cyml/55f/BJwQdV9SpIkSZM06ZrmXwI+O+F9SpIkSZWcMakdRcTPAP8I+LuT2qckSZJUh4mE\n",
       "5vzkvzuBa1JKm0o5IiJNoh+SJElSSinGvU/joTkifgD4Q+DtKaUnBm1XpvOqR0TcmlK6te1+zCuP\n",
       "f3s89u3y+LfL498ej327yg7WVg7NEfH7wE8D50bEU8D7gDMBUkofAX4LOAf4cEQAvJhSelPV/UqS\n",
       "JEmTUjk0p5TeWnD7Pwb+cdX9SJIkSW1xRUABHG67A3PucNsdmGOH2+7AnDvcdgfm3OG2OzDHDrfd\n",
       "AY0vUmr/HLyISNY0S5IkqWllc6cjzZIkSVIBQ7MkSZJUwNAsSZIkFTA0S5IkSQUMzZIkSVIBQ7Mk\n",
       "SZJUwNAsSZIkFTA0S5IkSQUMzZIkSVIBQ7MkSZJUwNAsSZIkFTA0S5IkSQUMzZIkSVIBQ7MkSZJU\n",
       "wNAsSZIkFTA0S5IkSQUMzZIkSVIBQ7MkSZJUwNAsSZIkFTA0S5IkSQUMzZIkSQ2KiF0Ry4eyFrva\n",
       "7o/KiZRS230gIlJKKdruhyRJUp2ykLztbji4Nbtm5QU4cV1K6b52eza/yubOM5rojCRJkgCW9sCB\n",
       "rXDD6hVbYfcewNA8ZSzPkCRJkgo40ixJktSY4/th5XKgtzxjf6tdUinWNEuSJDUoq2te2pNdOr7f\n",
       "euZ2lc2dhmZJkiTNjbK505pmSZIkqYChWZIkSSpgaJYkSWqAi5rMFmuaJUmSauaiJt3l4iaSJEmd\n",
       "4aIms8byDEmSJKmAI82SJEm1c1GTWWNNsyRJUgNc1KSbXNxEkiRJKuDiJpIkSVJDKoXmiPjdiPh2\n",
       "RDwyZJuDEfG1iHgoIn68yv4kSZKkNlQdaf4EcM2gGyPizcDfSim9BvgnwIcr7k+SJGlquMDJ7Kg0\n",
       "e0ZK6U8j4uIhm/w8cFe+7ZciYntEnJdS+naV/UqSJHXd2gInB1Zn0Lg8IlzgZEo1PeXcq4Gnei4/\n",
       "DVwAGJolSdKMc4GTWTKJEwE3np3Y/nQdkiRJ0hiaHml+Briw5/IF+XWbRMStPRcPp5QON9ctSZKk\n",
       "prnASRdExE5gZ+XHqTpPc17T/EcppUv73PZm4F0ppTdHxGXA7Smly/ps5zzNkiRp5rjASfe0srhJ\n",
       "RPw+8NPAuWR1yu8DzgRIKX0k3+Z3yGbY+C5wY0rpgbo6L0mSJI3DFQElSZKkAq4IKEmSJDXE0CxJ\n",
       "kiQVMDRLkiRJBQzNkiRJUgFDsyRJklTA0CxJkiQVMDRLkiRJBQzNkiRJUgFDsyRJklTA0CxJkiQV\n",
       "MDRLkiRJBQzNkiRJUgFDsyRJklTA0CxJkiQVMDRLkiRJBQzNkiRJUgFDsyRJklTA0CxJkiQVMDRL\n",
       "kiTVJCJ2RSwfylrsars/qk+klNruAxGRUkrRdj8kSZLKykLytrvh4NbsmpUX4MR1KaX72u2ZepXN\n",
       "nWc00RlJkqT5s7QHDmyFG1av2Aq79wCG5hlgeYYkSZJUwJFmSZKkWhzfDyuXA73lGftb7ZJqY02z\n",
       "JElSTbK65qU92aXj+61n7p6yudPQLEmSpLlRNnda0yxJkiQVMDRLkiRJBQzNkiRJUgFDsyRJklTA\n",
       "0CxJkiQVMDRLkiRVEBG7IpYPZS12td0fNcMp5yRJkkrKQvK2u+Fg74Im1zk/c3eVzZ2uCChJklTa\n",
       "0h44sBVuWL1iK+zeAxiaZ4zlGZIkaSZZNqE6WZ4hSZJmzqTKJizPmD4uoy1JkpSLWD4EB65aK5u4\n",
       "C9h9f0rHrq5/X7ErK9MAOL7fwNxt1jRLkiS1IA/JBuUZZ2iWJEkz6Ph+WLkc6C2b2N9qlzTVLM+Q\n",
       "JEkzybIJ9dNaTXNEXAPcDmwBPpZS+uCG288FPgWcTzayfVtK6ZMbtjE0S5IkqXGthOaI2AJ8FfhZ\n",
       "4Bngz4C3ppSO9mxzK7CYUvqNPEB/FTgvpfRS1c5LkiRJ4yibO6vO0/wm4ImU0jdSSi8Cnwau3bDN\n",
       "fwG25T9vA471BmZJkiSp66qG5lcDT/Vcfjq/rtedwCUR8U3gIeBXK+5TkiSpNi6ColFUnT1jlNqO\n",
       "vcCDKaWdEfFDwP0R8WMppb+quG9JkqRK1hYnObA6y8blEeHiJNqkamh+Briw5/KFZKPNvf4O8C8A\n",
       "Ukp/ERF/CbwW+HLvRnnt86rDKaXDFfsmSZJUYGlPFphXF0FhK+zeg/Muz4yI2AnsrPo4VUPzl4HX\n",
       "RMTFwDeBtwBv3bDNY2QnCn4+Is4jC8xf3/hAKaVbK/ZFkiSpL6efm1/5QOzh1csR8b4yj1MpNKeU\n",
       "XoqId5H9NbYF+HhK6WhEvCO//SPAPuATEfEQWQ31r6eUjlfZryRJ0qiGl2C4CIpG4+ImkiRppkUs\n",
       "H4IDV62VYNwF7L4/pWNXZ7c7Cj1PyuZOl9GWJElzLQ/JBmUNZWiWJEkzzhIMVWd5hiRJmnmWYGhV\n",
       "K8to18XQLEmSpEloaxltSZIkaeYZmiVJ0sxxaWzVzfIMSZI0U9bmZT7Ye+KfS2MLcMo5SZKknEtj\n",
       "q36WZ0iSJEkFHGmWJEkzxnmZVT9rmiVJ0sxxXmYN4jzNkiRprowbjA3SAkOzJEmaI+POkOGMGlrl\n",
       "7BmSJGnmrY0WL+2AGzfMkPHOfRHLA0aSnVFD1RiaJUnSVFgbLT6QjxbfAlwF7AIeAba8AQ7kM4Ot\n",
       "XB4RjiSrNoZmSZLUefkI8+/BD2+F88mCMsCtwLeAj5+GgwuDR5KdUUPVGJolSVKnbR5hvgG4K7/1\n",
       "8WOw+wFgGdgx6DFSSvdFxHV5kAZOeCKgxmJoliRJHbepHplshPkrL8CJt+WBeBes3M2QkeQ8JBuU\n",
       "VYqhWZIkTaHHj60GZnAkWc1zyjlJktRpThenOjlPsyRJmlkuTKK6GJolSZKkAmVz50ITnZEkSZJm\n",
       "iaFZkiRJKmBoliRJkgoYmiVJkqQChmZJkiSpgKFZkiRJKmBoliRJnRQRuyKWD2UtdrXdH80352mW\n",
       "JEmd4yqAakrZ3HlGE52RJEmqZmkPHNgKN6xesRV27wEMzWqF5RmSJElSAUeaJUlSBx3fDyuXA73l\n",
       "Gftb7ZLmmjXNkiSpk7K65qU92aXj+61nVh3K5k5DsyRJapXhWJNkaJYkSVPHWTI0ac6eIUmSppCz\n",
       "ZGg6OHuGJEmSVMCRZkmSVFn5umRnydB0qFzTHBHXALcDW4CPpZQ+2GebncC/Ac4Enk0p7dxwuzXN\n",
       "kiRNqap1yZ4IqElq5UTAiNgCfBX4WeAZ4M+At6aUjvZssx34PLArpfR0RJybUnq2js5LkqT2RSwf\n",
       "ggNXrdUl3wXsvj+lY1e32S+pn7K5s2pN85uAJ1JK30gpvQh8Grh2wzZ/H/iDlNLTABsDsyRJktR1\n",
       "VWuaXw081XP5aeAnN2zzGuDMiPhj4PuA304p/V8V9ytJkjrDumTNvqqheZTajjOBHcCVwFnAFyLi\n",
       "iymlr/VuFBG39lw8nFI6XLFvkiRpTGXqi1NK90XEdflUccAJ65LVGfm5dTurPk7V0PwMcGHP5QvJ\n",
       "Rpt7PUV28t8LwAsR8SfAjwHrQnNK6daKfZEkSRWsndB3YHXE+PKIePmEvmGBOv/ZoKzOyQdiD69e\n",
       "joj3lXmcqjXNXwZeExEXR8QrgLcAn9mwzT3A5RGxJSLOIivf+ErF/UqSpNot7clmwLiBrB3cuhqS\n",
       "ewL1VVnbdnd2nTQfKo00p5Reioh3kf1luQX4eErpaES8I7/9IymlxyLiXuBh4DRwZ0rJ0CxJ0lRx\n",
       "5T7Nt8qLm6SUPgd8bsN1H9lw+Tbgtqr7kiRJTfKEPmmQyoub1NIJ52mWJKkTBtUtV13AROqKVhY3\n",
       "qYuhWZKk7suC8/Z9sHARnHwSvrvX0Kxp09biJpIkaa6cfh0cWIb/Y8fGkwEjYlfE8qGseZKgZkvl\n",
       "mmZJkjQvBp8M2Ge6uisiXvkoLB4bdb5nqcsMzZIkqQabAvUi3LEDbmLjfM/SNDI0S5KkEY07u8ar\n",
       "yEO009Np6hmaJUnSSIYvl338MKxctbb1CvDrk+6i1Bhnz5AkSWPbODVd9vONV8Ff5lv8IPB/AxcA\n",
       "D5+E56+1PENdUDZ3OtIsSZLG0uekv8vh9FG4lLW1zO4CPk9e09xKP6U6GZolSdKY+s2i8U6yGufV\n",
       "eudbgE8BuwAWrWnWtDM0S5KkGiweg+Or9c474MblPDBLM8GaZkmSNJaiJbVdcltd5jLakiRpYjae\n",
       "CLgxEBfdLrXF0CxJkibCQKxpZmiWJEmNs/RC084p5yRJ0gT0mznDmTE0+xba7oAkSWpHROyKWD6U\n",
       "tXCqC2kIyzMkSZpDZcssLM/QtLOmWZIkFeo5iW8HHFheK7O4C9h9f0rHrh7jMfBEQE0ba5olSdJQ\n",
       "65e/vqP04+Qh2aCsuWJoliRpbvSexHc+8Pae21ZegBP7W+qY1HmGZkmS5tIusvC8+xjwAJywzEIa\n",
       "wppmSZLmhCfxSZ4IKEmSRlDHSXyeCKhpZmiWJGnKTGP4dLRa087ZMyRJmiLrZ7IAWLk8IloLn6MH\n",
       "eFcE1HwyNEuS1Ir6wmfVEeuuBXipiwzNkiRNmQ0h+TBse2+1wDtOgD++H1Yuz7YBp6rTvDA0S5LU\n",
       "inLhs8+o8JXwywuTKpdIKd0XEdfl+8Cp6jQvDM2SJNVknDKJ8uFz06jwQpXV/Vb7Ok6Ad0VAzSND\n",
       "syRJNShTF1xf+HzsNNy1kO937HIJR4+lYk45J0lSDSKWD8GBq9ZGgO8Cdt+f0rGr691P3ynfPgBL\n",
       "O7PL0zF1ndQWp5yTJGkODBkV3tdqx6QZ50izJGmmTWoBkaYW/ZjGBVCkLnNFQEmSNpj06nX9Am6V\n",
       "0Ovqe1L9DM2SJG0wqTrjwfuPXbDtHji4mF2zchJOXDtq6G27/9IsKps7F5rojCRJsygidkUsH8pa\n",
       "7CraFs7591lgvoGsHVyE7dYeS1PIEwElSTOsvtXrxplSbm3b127d/EgLF42+V1ffk7rC8gxJ0kyr\n",
       "60S6cUol1rY9n2z7D+a33AK88EBKf/3GSfdfUqa1Keci4hrgdmAL8LGU0gcHbPcTwBeAX0wp/WHV\n",
       "/UqSNIr6FhA5vTz+fXaRhetbgaeB50/C83vHeQRX35O6oVJojogtwO8APws8A/xZRHwmpXS0z3Yf\n",
       "BO4FHFGWJE2VbLT3rEuykeJVKycHl0psLKv4ymk49SA8v9eRYmk6VR1pfhPwRErpGwAR8WngWuDo\n",
       "hu3+KfAfgJ+ouD9JklqwtAcOLGblFh8FvgmcenRQAHZZamn2VJ0949XAUz2Xn86ve1lEvJosSH84\n",
       "v6r9ImpJkkrZBfwBcBOweGzYliml+1I6dnXWhgfmcWblkNSOqiPNowTg24H3pJRSRAQDyjMi4tae\n",
       "i4dTSocr9k2SpJo0N4vFOLNySBpfROwEdlZ+nCqzZ0TEZcCtKaVr8su/AZzuPRkwIr7OWlA+F3ge\n",
       "+OWU0md6tnH2DElSp1Vf2a//fV3ARJqstmbP+DLwmoi4mKzA6y3AW3s3SCn9zdWfI+ITwB/1BmZJ\n",
       "kqZB2VksHEmWZkOl0JxSeiki3kX2JrIF+HhK6WhEvCO//SM19FGSpCm2tCcLzKsjyWzNTxDMQ7ML\n",
       "mEjToPI8zSmlzwGf23Bd37CcUrqx6v4kSZolzrQhTQdXBJQkqUFr5RkHe0eSLc+QWlI2dxqaJUlq\n",
       "mEthS91haJYkqQEGXmm2GJolSaqZpRXS7CmbO6uuCChJUq2y1fFeeSRi+dmIc460u0Le2fvgR7fC\n",
       "Z8iW0D64dW3UWdI8qTx7hiRJdckC8ln3wNZFuA1gGVbuiYhrJz26m48yvyFbMhuyKePePskuSOoQ\n",
       "Q7MkqVHj1QQv7YEfXsyC6svzGi+un9d4Upb2wIGFnn4AN5+G5yrPodzvmFg7LXWboVmS1JhJrIZX\n",
       "NmyWvN+DVfs+4Jh8ALa911UDpe4yNEuSGlS0Gt5Gx/fDw1fALYtr162cHLRCXtlQPtr9+q7Ut3f4\n",
       "8x1F32Oye7zjJGnSDM2SpM7IyxSuhdgHuy+C00/Cib2DQ/C4oXz0+7lSn6RehmZJUm02ljwA/UZr\n",
       "h9YE58G0E+G0mb70HcE+ACvvZYzjJGmynKdZklSLQXMaZz83c4Jb2XmU255/2RMBpfa4uIkkqVUR\n",
       "y4fgwFVrJQ93AbvvT+nY1c3ud/ywmd1n+z5YuAhOPgnfHVICImmWlM2dlmdIkqbauCUUa6PMt6+O\n",
       "Mp/VUNckzRBDsySpJn1rdRuZ07jaI5Y9eVDSPHMZbUlSLbIwe+I6uPkB2H0MTh2t+pg9U8NdlbVt\n",
       "dw9bVjtbgnv5UNbqXX571Mdusg/j6lJfpGlnTbMkqTZ1n2A3Tp30qPsu08cmH7spXeqL1CXWNEuS\n",
       "OqDN0ofR9l1u/uVRn1eXSj+61Bdp+hmaJUkd1kyddJfmgh6H09JJ7bE8Q5JUm/KlD4OD4NrtJ5fh\n",
       "TGDh2ODtmilH6EJ5xriPbXmG1J/zNEuSOmGc0dA6w2i2zff/Tjb38osvwF9/MKW0b9LPq6nR4DLz\n",
       "YDsyLW1mTbMkqROGlT5sXma7nlrhPFTfA7+9mN18y5lw+rci4khdQXHUko4ulX50qS/StDM0S5Iq\n",
       "GW8EdtvdWfiFrFb5ZKVp6db2vbQDDiz2hGrgjkV4fIZOfGumvlvSaAzNkqTS+gXhiBhQN9tvtPhm\n",
       "svBXFAT7BsbDcNY98MOL8HSdT6uTys36IakuhmZJUgVVpzVbOAbPFQbBfoERzt4HWxfhJuARYKXn\n",
       "HrcAz5+E52dqJHac0hcDtVQvQ7MkqYLTy6Nv27+8YFAQHBACe078W/49uI31JRm/dgriOTj5JDy/\n",
       "d16C43gj/pLKMDRLkkrJgtpZl2QjvHfk1z784qDR3XHKC0YLgaefBHpC+6VAeiil42+s9symkQuZ\n",
       "SE0zNEuSSlraAzcuwv9JViIBsDL0c2X02RxGCYHP7YWVe4B8xoyVk3Bi71hPoQaWRUjzwdAsSarg\n",
       "88C/pifcxqRGOPOR62vbPDGuO2URzqwhNc3QLEkq6fh+eOxKYKGZxy4Oge3PQ9yNsohZnVnDUXx1\n",
       "iaFZklTBC6fg5p7QvPIinFrOVq8rH3JmNQQ2ZRbDZXdG8aWMy2hL0pTpSkBaW9b5fOCjwOPA10/D\n",
       "h/IQ3X9J7Fky6jLgE+jDPXCwt7b72kkv8123MsuGS6NwGW1JalgdYaPqY3Rz9G1X3n6KLDDPzwwO\n",
       "kxgRL37NbN8Ht/euhrgIN+9j4DR+XXv9SNPB0CxJI6gjbNQTWLpRQ5vZWHf82GkaqW/utibrqkd7\n",
       "zSxctPme/a6Dbr1+inhyo7rF0CxJI6kjbExTYCm2eZT1ucOw8l4MOTUa5TVz8km4pWe+6lvy66bX\n",
       "2uj66aPwTmDxmHXtapuhWZLGdh/5Yh47ImLXZD/IuzX6tnmVvjgyiyfvdbsO+Lt7Id0Dd+Q1zc+f\n",
       "hOcHzFfdrddPP31G11+A45aQqHWeCChJI1j7IP/lrdkJSbflt4x+4lddJ411O8D1N6zPXX8+455o\n",
       "18C+C18z4xzD7h9vTwBUs0rnzpRS6y3rRvv9sNls3W3ALlg6lDV2tdiHZ+GTCVLePplg6VAXnke/\n",
       "x+7Ocdv2fHasPpmyn3v71/+2rjTYfmTz73z7kQm/7hr9HXbhdbLWl6VDVf6P2WxFrWzurGPH1wCP\n",
       "AV8D3t3n9rcBDwEPky0d9fq6Om+z2eajdSlYdeUDfWPIGXCM9pY5bnUHqGHHrCvHs6D//f5Qerbt\n",
       "ftX7Whr+OplkqO7S/3fbbLZWQjOwBXgCuBg4E3gQeN2GbX4K+P7852uAL9bVeZvNNh+tS8GqzAd6\n",
       "/SG0Xx/O7jMaOv6oeBOBZfpD89lH4Ny0dkzOTXD2kSZ+t+08v+G/g8F/kG0/kr3Gzj4yiW9NbLa6\n",
       "WtncWfVEwDcBT6SUvgEQEZ8GrgWOrm6QUvpCz/ZfAi6ouE9Jak0ac17eZubF7TujwkXlH2/YYz+y\n",
       "FT7xexHLD5Svfx128lnzJ6ZVr+Htf6Ld/Mx53O81cecH4Pa8JvSWZUj3RERhnfeov4vU+vLoUh8V\n",
       "k/r/AtzZc/ntwL8dsv0twEfrSvw2m61bjYZGh5jCr2t7jsWzsKfWkdT+I4Pbj9RRnrH+se9N60dY\n",
       "yx/3Ya+Npl43db52+vVxGkbJ6zhG2fPck+D6vP3ttPl5X9bKtxg2W5lWNndW3ekvjBqagZ8BvgKc\n",
       "U1fnbTZbd1rTH4hVglWToWy0Y3FuHkBTTaG5/7HuH+zGe+7rH/uyPuFofd8nfWzHP1bNBdtZCc1F\n",
       "v8f8j6+eP562lwzN3TpeXX/t2hr93acy96tanvEMcGHP5QuBpzduFBGvB+4ErkkpfaffA0XErT0X\n",
       "D6eUDlfsm6SJGm/hjnG/Mk8lv65t+iv0/s9j07EAbgW+xajlB/0ed+26JeD4B2D3zuz2dSUiL28X\n",
       "sbwH2D/OVF1pffnJDmB50LbzU54wSPfnPB7V8P9fSzvhAD3lGcBKAlbLM8hLVqbmufvanS8RsRPY\n",
       "WfmBKib1M4C/IDsR8BX0PxHwB8hOFrys7sRvs9m608YZRWKCX9M2O9I4aMS37z6fLTfa26/UYk+C\n",
       "7aeykox+pQ71HNuix+rayGEbrzXmYLSy/+/57CPjngg4+HU9+eM3Da9dW5O/f1Kp+9Ww458DvpoH\n",
       "49/Ir3sH8I78548Bx4A/z9t/rqvzNputO22ccFLnB1ZRaGnj6/kyQW398xg2E8a9Cc5LVYPsqGFv\n",
       "43brL/ebv7h7wWMegm3zx6/OP8Re/l2UmhKxnudkaJ7n1lpobrPzNputWy0fNXo2a+wdvF09H1ij\n",
       "fJgP26ZqmBo+ldroj92nj6f6nDyYh+br0/DpwQadJFg4p3OJkcKzvgfbvueJXbPfmvjDo83gOslv\n",
       "u2zda4Zmm83WahtvpLmuGQ3Kj6pWHw0uHz5Hex7bT2143E9kJ2MNPzmvT5++l4Xb3scqN0I8+Gv6\n",
       "esKUI8LNtK4e17ZHe7t6XGwT+d2nMvereiKgJOVGPxEwjTnXcVWp70lOZU5cXH/iEJy4LmuNPI8H\n",
       "Yfex1cfN+nsj8EXgXcAd+WYPrzsBa/OxPbUMH9rRzJzOAIvHxjnRcBBPzGpGt49ruydS9n9fkAYz\n",
       "NEtqRT0fWJP80O0fsvPA2MTz2NsbbLKZMC4FrgL+AXBTfsvKpkfrPbYRy4eya+8DPgp8E/jud2Dl\n",
       "LMY+bk0e7/H+iNGoio9r9cVfypn0H89SVYZmSTWZXIAdceq1At2ZLmy08LDa3x/dCv+anhC0ODxc\n",
       "Ht8Pv3IFnLUIt+XXrVwIJ/75uMfNkDN72h6JdrRXU6XtupIqtSU2m625Rol6v1HvU+ax19+3kTP5\n",
       "xz1Zb+InDuX9fXbcOtBpmOWiC8d3FlvRcW27rrie52ddsm28VjZ3OtIsaZOyo09phFGj6iNb5b7G\n",
       "7/cV9Cj9XZUmPMo6qL8R8TZYuZuxRsgXjpXdZ8nul9qXo9j1m+Xj2vYoueZQ22m/SuK32WzNtDKj\n",
       "T4w8ylxtZKt836ZnFLOov6Me63Ge/ySP0bT9Pma5TfPvYtpHyW3ttbK505FmSZVNdsSnfy3y8FHS\n",
       "aTvJbHh/05h1oGmk0cZJHqNp+33MrtFeG+Np4huLcR+zrZMbNdsMzZL6GPckuXFC0PHDsHIlsDDa\n",
       "Y6/X70M++9evaYcZN2hrftT52mjiD+hBjwkM+QPa9wM1oO0h8irD5DZb2YYnj9R6jMZbZGTb89lq\n",
       "d5elbAGPwSsHjt7X4funxa+gy7zW2ujvJPfZ5u/D1mxromRi3JU3LduwFbWyudORZs0dRyFGk8Ya\n",
       "fRp1ZHrjiPRdC/m0Z/sqd7jQqaPZoh6nn9w4B3JTqpxQ2W80fW3O5fq/bu63z6aO0ST3pdllCYYm\n",
       "ru20XyXx22xlWh2jEEzpSHVRv6s8r1Hu29QIEENGLoG92Yj2ZSkb4Z7kKHM9z3fY87PZutSaeK0O\n",
       "eMy9Q/7PD9h+6VA2/eLq0u/1v8fZpqOVzZ2td7xK5222Mq367A3TGWCK+j2J59XkPvp9oOX7O7W2\n",
       "v/Py4DyZr2rXXmv3Jrg+L0k5+8ikX7M22yRbE+Fy42OOVpL18vYbAva5Y/8BPa3v+7aBv89U6n5t\n",
       "d7xK5222Mq3qm9+0BpjiD5nJPK9Jjtb0f05ZcJ1EH7Lnetb3sg/pl19v3xt/hGs6X3M2W5lW97dW\n",
       "/be9fqz/R/4fnK1WNnda06y5k2awnnKaavtS67M4PHIatlwCBxazy83VtGevtXMehdt2jL7sdT/d\n",
       "WfJbatLo5wH4f0ItaDvtV0n8NlsbjeH1sxOveRvWn3G2G/VxNj9md2v8+jynU/D9X5vkiFG9dc3d\n",
       "PdY2Wx1tvBHkURdU2vg+YHnGvLeyubP1jlfpvM3WVuv3Zt3Wm2qVD5miy8XHoPsfIpuf42RD7LQc\n",
       "J5utC63Zk4U9EdD28u8ylbmf5RlSCalviUH3Vznr7Xe/r0HhxHUpHbu69z6DSz+6/3xh8+8qIhj3\n",
       "a92NxyD7d7Sp5NIMlgNJzWmm7KL/e/bkH0PTzdAsTb2yHzLFobdPsL4yIn4zpTSBeZXLKarvHjfE\n",
       "9v/j4tRRODjyHwx+2Eqj8Y9MdZmhWapNOyemNPshsylYL8DN74+IIwxYwrae/Q42LBSPehLReCG2\n",
       "7x8XF1V5W/z3AAARqElEQVR8GpIG8I9MdZWhWapJmyMkfUoQRphNo2zI/5EFeHxPSseubur5Dup/\n",
       "cSieVMnI6Sdh5Sw8c1+S5oahWapRF0ZINgfLX7kim/Zs4VhvAB0t5B/fDytXAgvZ5XcDbwceZ/Ux\n",
       "qPn5Dg/GbdRR9/3jYm/2s18hS9K8MDSr0DTNATwJw0dBu3CceoPlfcBZi9k8wbBxZLYo9ObB+jfh\n",
       "5vfDBQtwDvDx0/Dc4cn0HxgrGNdfIlPwx8Vc/1+QpHliaNZQo080Px8GHY/s5y4ep48Ct1FlZDal\n",
       "tC+bceL0++HgArAAK++NiCOTf37DQ3FTJTJd+AZB0nDdGbjQrDI0q8Dkvw7v9hvfwONBd6Zf6w2W\n",
       "36zpMZd2woGFyTy/wcF4lFBswJXmjwM8mgRDszpltt74Ti5HLB/Kfu43y0MzfxisD5Ynl2HlEmB1\n",
       "yejOn7BWFIwNxZI2m4554zXdDM0qMOlp1Lr+xjfsePRe/ysn4YxL4MBqWH05/E/iD4PNi5hULVeY\n",
       "7OvAYCypbt3+FlPTwNCsoZxofr1hx2P99a9Yhtt39A//k/3DYJwAOuhDJX/eH4Ddu7PbThyY59eB\n",
       "pK4Z/of9bH2LqbYYmlVosqN+7SwQMo5Bx2P96O5qWcaoTq8r5cj+bWZEpMwcyPlt7+257b35AieN\n",
       "9VOSRlU8wNP1bzE1DQzNqqzOr7xmZ2R7WPjfdNtJeOkS+NBqKccV8BIbSjs+kJ2Ml92/7DEpPwdy\n",
       "v9tu3genX1dm5MavSSXVzbIuNc3QLKBciMnus30fbH8D3LgAl1LHV16z8MY3LPxvLnV46Tvwob/V\n",
       "E0gX4Q7WLj+yFe58fzZ7BVQ7xnWOtixcBLeP/Vh+TSpp8kb/FtM/6jWIoVmlQszafW7P7/Nu4C7g\n",
       "4MS/8urqG9yg8L+51OHmc4Y/0ufJ5kdu+mvFsUbHX4BTTwLL4+/Hr0klTdao32L6R72GMTSLciFm\n",
       "033IFtL4+XVbNR1oi+twuxemNx+7RxZg5TQvL1W9cjIrz7grL894rOe2qvoH47VjdfoovBNYPNZn\n",
       "dHzdB05+/7s3PlY9/Vyvu79LSdNitG8x/aNegxmaVYP7yMoJngbuPQnP74e+gfbKiPjNlNK+qntc\n",
       "C1FLO+DGTW9w2Qp20xKmLwVOPQi7j2WXT+wH3rhWvvHcH8HKW6ghnA4Ov+uO1QtwfNPISr8PnHL1\n",
       "5+Od7OnIj6Rp073PGdUipdR6y7rRfj/mtQG7YNvz8MmUtW3PA7tGu8+eBOemnvt+b/W+sHQouy7l\n",
       "7ZMJtp8qeuzx+3tugnt79rF0CM4+ApcluD6/bfX68Z/rpI/3gNv3Zv3PnkO9/en3e1o6tL4/9e57\n",
       "nMcs6p/NZrPV1fq8/54C9lZ8jIl/ztgKf0ep1P3a7niVzttq/R2MHYzy+zw7KND0DzuXVQ48gx+3\n",
       "N2BuO7X2hnVeysL96vNrP4ANO96TDrHD9jfqm38TwXrU42Gz2Wx1tuwzZPup7HNlz9ih1/es7rey\n",
       "udPyDAHlZqxIKd0XsfwAcFX/LY7vh5Urebke993A24HHgbq/vnr8GOx+IPuaf2lPNtNEb731zafh\n",
       "uf1r+2tHT1kJZZ5zM6UKw8oliuv7mq8r7/7c3ZJmydLO9Z8hl1asa34EYEc2F7+lGlOt7bRfJfHb\n",
       "2m9ko7q95RmJnq+yGPAXOxW+viq674CykCOj3LfhYzVw36wfqd07eLtmRjAYMFI8yv4GbVPnsR7U\n",
       "P5vNZqu7VX2fXf/etydt+Iy0VKMDrWzubL3jVTpva79lby57UlY7fP3LZRAbfr+bAk89b0qDyhtG\n",
       "qRne2J/mQ9mY4bJvDfOkv/YbJfgOfl5+RWmz2aav1fEHf89nysASRlurv+NU5n6VyzMi4hrgdmAL\n",
       "8LGU0gf7bHMQ+DngeeAfppT+vOp+1SWXArflP9+16dZU82IlRV/5p4L5ODf2p095wRURr3w0m3Zt\n",
       "El+l9S2B2JnSsas3bzvZUoWiY9nTpyuA1RUMT66VyUjSdBntfa/4MYD7spKMQSWMmjoVk/oW4Ang\n",
       "YuBM4EHgdRu2eTPw2fznnwS+WFfit9Xy11alEVZK/kU+6fsNf8zCEwtrnDFic9/HPPFvbzYzyNKz\n",
       "sP1IXX2r/rzO+l52zC5L2c/VSnBsNpttFprvg91sZXNn1Z3+FHBvz+X3AO/ZsM0dwFt6Lj8GnFdH\n",
       "522VXzRj/WceFLDLBu8y9yue6aFMP/o95vUjfZU27j77bT8odG7+HXWzNq6J34nNZrN1tdXxvm9r\n",
       "/XeYytyvannGq4Gnei4/TTaaXLTNBcC3K+5blfUrC7h5H3npwoYyiMPrl35emyEh9S13KJ4xYeP9\n",
       "qii/FPjSHji5nJUUrJYX3AJ8qpF9Dn7OZwA35T+v9Fzf+zv6BeAg07RSVZ2/Y0lqW73v+5o2VUNz\n",
       "GnG7KHk/Td4bsjcF2PDGcBW8Cjif7Jv3/oGtWniF4hriQTW94y19ur6fjwAfOw2/9ldw8tvAhfCt\n",
       "xaw+e+UFOHE4r0vb0L+6lltd2gMHFnseZ7HrYXg9p4STNC9cZnueVQ3NzwAX9ly+kGwkedg2F+TX\n",
       "rRMRt/ZcPJxSOlyxbyrUbx7lX1qAT+QBdt0bA1mlzQ30O9lvTZXwCnnI/kA2T2bWx7ThJL5+J2hE\n",
       "LI950tlqP88ne96/vQB8H6ycASf+OezO93/i8KAR9vH2V1ZvIP1B1o9CdyOcDvqdtNsrSZIyEbET\n",
       "2Fn5gSrWhJwB/AXZiYCvoPhEwMvwRMBOtcHLTferU/2hvK72soH1tONOMzZgTuVT49btMnZ99up+\n",
       "r0/DT8Lr17+zj2TXbz+S1R9XqzEu6jubTgS0Ns5ms9naaON+1ti62crmzkojzSmllyLiXWSjiFuA\n",
       "j6eUjkbEO/LbP5JS+mxEvDkingC+C9xYZZ+q23f3wlfuhpu2wrdYP3rZ+5X7LayNMn/vBPz1L6a+\n",
       "o4l1fFX/IwvjfvWVxh7tXO3nj24dr2+PAFvekK0WBVkt9DsfyKanKzfCWtT3tLkebt+4+5AkVTf+\n",
       "Z41mSeSJu91ORKSU0sa6Z03IoJri7Ppz/j289vvgVrJa5ruAmx9I6TtvHPfxBm+77W44uBqyT8Mv\n",
       "L6yf93n3/f3nLK4m2/fZ+7IQfHA1BL8AJ65bfwx6+3fzabi9J9Q31z9JklS/srmz8uImmn59RjJf\n",
       "vj5i+Ytw01X5yX+5hWNlHm/Qttlf7e/cB4sXQXwHPnwhXLq6UEZjdbur/cyC8eBR3vWjCiwDO5ro\n",
       "jyRJ6i5HmjVUn5HgdSOxDe3jJJya4Ip8o5vE8ZAkSc0pmzsNzSo03pRwZR5/+RAcuGp9ycPND6yN\n",
       "aHcxODd3PCRJUnMsz1Bjxim3qFHvyXYTnuZtuHGOhwFbkqTZ4EizJm5jkMz+bedkwCZZyiFJUvc4\n",
       "0qyp0G8xEzhxXdZWT7Y7tQyXdvJku/FGjl05SpKkWWFo1oT1D5L5KHLPNG8rd9OxZZnLLBG+2enl\n",
       "ZnonSZKaZGhWreqo4e3u5PHjjhwf3w8rVwD59Hm3AP/jkojY1Y3nI0mSRmVoVm1GG4kdbcXAlk4+\n",
       "rFUW/l/5KNyxA14FfAr41qIlGpIkTR9Ds2pUPBLb3VHkUZRZInzxGNzE+un0JEnStDE0a+KmdRS5\n",
       "XOAvE7QlSVLXOOWcauMUa/05V7MkSd3hioDqBAOiJEnqMkOzJEmSVKBs7lxoojOSJEnSLDE0q6+I\n",
       "2BWxfChrsavt/kiSJLXJ8gxt0ueEvpNw6tFs+jTrlCVJ0vQqmzudck59bJpveTFboOMmyi0dLUmS\n",
       "NN0sz9CIXkUWog9uXZsdQ5IkaT440qw+Ni7IcQvZEtCSJEnzyZpm9bU23/LpZfgfl8CHFrNbfuUk\n",
       "vOJRWLC+WZIkTR3naVZj1gL0yWXYcgkczAO0K/5JkqTp4jzNakxK6b6Ujl2dzZ5xcDGrbba+WZIk\n",
       "zQ9DsyRJklTAEwE1ho0nCK68ACf2t9olSZKkCbCmWWNZq28GTwSUJEnTxhMBJUmSpAKeCChJkiQ1\n",
       "xNAsSZIkFTA0S5IkSQUMzZIkSVIBQ7MkSZJUwNAsSZIkFTA0S5IkSQUMzZIkSVIBQ7MkSZJUwNAs\n",
       "SZIkFTA0S5IkSQUMzZIkSVKB0qE5IpYi4v6IeDwiDkXE9j7bXBgRfxwRj0bE/xcRK9W6K0mSJE1e\n",
       "lZHm9wD3p5R+GPh/88sbvQj8WkrpEuAy4J0R8boK+1QDImJn232YZx7/9njs2+Xxb5fHvz0e++lU\n",
       "JTT/PHBX/vNdwP+8cYOU0rdSSg/mP/81cBR4VYV9qhk72+7AnNvZdgfm2M62OzDndrbdgTm3s+0O\n",
       "zLGdbXdA46sSms9LKX07//nbwHnDNo6Ii4EfB75UYZ+SJEnSxJ0x7MaIuB84v89N/6z3QkopRUQa\n",
       "8jivBP4D8Kv5iLMkSZI0NSKlgVl3+B0jHgN2ppS+FRF/A/jjlNKP9NnuTOA/Ap9LKd0+4LHKdUKS\n",
       "JEkaU0opxr3P0JHmAp8BbgA+mP/7/2zcICIC+DjwlUGBGcp1XJIkSZqUKiPNS8C/A34A+Abwiyml\n",
       "5yLiVcCdKaX/KSIuB/4EeBhY3dFvpJTurdxzSZIkaUJKh2ZJkiRpXrSyIqALo7QjIq6JiMci4msR\n",
       "8e4B2xzMb38oIn580n2cZUXHPyLelh/3hyPi8xHx+jb6OYtGee3n2/1ERLwUEddPsn+zbsT3np0R\n",
       "8ef5+/3hCXdxZo3wvnNuRNwbEQ/mx/4fttDNmRQRvxsR346IR4Zs42duQ4qOf6nP3JTSxBvwr4Bf\n",
       "z39+N/Av+2xzPvCG/OdXAl8FXtdGf2ehAVuAJ4CLgTOBBzceT+DNwGfzn38S+GLb/Z6VNuLx/yng\n",
       "+/Ofr/H4T+7Y92z3n8hOXP6Ftvs9K23E1/524FHggvzyuW33exbaiMf+VuB/Xz3uwDHgjLb7PgsN\n",
       "+HtkU+0+MuB2P3PbPf5jf+a2MtKMC6O04U3AEymlb6SUXgQ+DVy7YZuXfy8ppS8B2yNi6PzbGlnh\n",
       "8U8pfSGl9N/zi18CLphwH2fVKK99gH9KNjXmf5tk5+bAKMf/7wN/kFJ6GiCl9OyE+zirRjn2/wXY\n",
       "lv+8DTiWUnppgn2cWSmlPwW+M2QTP3MbVHT8y3zmthWaXRhl8l4NPNVz+en8uqJtDG71GOX49/ol\n",
       "4LON9mh+FB77iHg1WZj4cH6VJ3vUZ5TX/muApbwk78sR8Q8m1rvZNsqxvxO4JCK+CTwE/OqE+iY/\n",
       "c7tkpM/cKlPODeXCKJ0zagjYOP2f4aEeIx/HiPgZ4B8Bf7e57syVUY797cB78vejYPP/A5U3yvE/\n",
       "E9gBXAmcBXwhIr6YUvpaoz2bfaMc+73AgymlnRHxQ8D9EfFjKaW/arhvyviZ27JxPnMbC80ppasG\n",
       "3ZYXZp+f1hZG+a8DtjsT+APgUymlTfNAayzPABf2XL6Q7K/aYdtckF+n6kY5/uQnItwJXJNSGva1\n",
       "nkY3yrF/I/DpLC9zLvBzEfFiSukzk+niTBvl+D8FPJtSegF4ISL+BPgxwNBczSjH/u8A/wIgpfQX\n",
       "EfGXwGuBL0+kh/PNz9yWjfuZ21Z5xurCKFBxYRSN7MvAayLi4oh4BfAWst9Dr88A/ytARFwGPNdT\n",
       "RqNqCo9/RPwA8IfA21NKT7TQx1lVeOxTSn8zpfSDKaUfJPtm638zMNdmlPeee4DLI2JLRJxFdlLU\n",
       "Vybcz1k0yrF/DPhZgLye9rXA1yfay/nlZ26LynzmNjbSXOBfAv8uIn6JfGEUgN6FUciGyd8OPBwR\n",
       "f57fz4VRSkopvRQR7wLuIzuj+uMppaMR8Y789o+klD4bEW+OiCeA7wI3ttjlmTLK8Qd+CzgH+HA+\n",
       "4vliSulNbfV5Vox47NWQEd97HouIe8kWwjpN9jlgaK5oxNf+PuATEfEQ2UDar6eUjrfW6RkSEb8P\n",
       "/DRwbkQ8BbyPrBTJz9wJKDr+lPjMdXETSZIkqUBb5RmSJEnS1DA0S5IkSQUMzZIkSVIBQ7MkSZJU\n",
       "wNAsSZIkFTA0S5IkSQUMzZIkSVIBQ7MkSZJU4P8HdSbj1EQo0GUAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1071aae90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X, Y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We define a model assuming `K` = 2 trends. By default the model will be populated by `K` RBF kernels. The OMGP implementation is compatible with most kernels in GPy, so that you for example can encode periodicity in the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "921.94730839800775"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m = OMGP(X, Y, K=2, variance=0.01, prior_Z='DP')\n",
    "m.log_likelihood()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A simple plot function is included which illustrates the asignment probability for each data point, it also shows the posterior mean and confidence intervals for each Gaussian Process."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAApQAAAFwCAYAAAAG8us1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl4VeW5NvD72fM8ZQ4JBEKYR2VSVIJap9bawVrt8Xjq\n",
       "VDt4WvvZ9rR20M61tYPVDtZ61NYeba3aaisqKgFFQARFZghDEpIwJGTOnvfz/bF3MIYpsBP2Trh/\n",
       "18UFK2utdz07reTmXe8gqgoiIiIiopNlyHQBRERERDS0MVASERERUVoYKImIiIgoLQyURERERJQW\n",
       "BkoiIiIiSgsDJRERERGlJe1AKSL/KyL7RGT9Uc7/h4isE5F3RWS5iExL95lEREREp7Pj5a/UNb8W\n",
       "ke2pHDZzMOsZiB7KhwFccozzOwGcp6rTAHwfwB8G4JlEREREp7Nj5i8RuQzAWFWtAPAZAL8bzGLS\n",
       "DpSq+hqAlmOcX6GqbanDVQBK0n0mERER0ensePkLwIcBPJq6dhUAn4gUDFY9p3oM5Y0Anj/FzyQi\n",
       "IiI63YwAUNfreA8GsVPPNFgN9yUiCwHcAGD+qXomERER0WlM+hwP2n7bpyRQpibiPAjgElU9Yves\n",
       "iHBTcSIiIhpwqto3WJ1SA5VxTvBz1AMo7XVckvraoBj0QCkiIwE8DeBaVa0+1rWZ/h98KBGRu1T1\n",
       "rkzXMZTwe3Zi+P06cfyenRh+v04cv2cnLls6rMwzrk/r/ug7D5/oLc8CuBXAEyIyD0Crqu5Lq4hj\n",
       "SDtQisjjABYAyBWROgB3AjADgKo+AOA7APwAficiABBV1TnpPpeIiIhoqBCDcWDbO07+UtXnReQy\n",
       "EakG0AUgvUR7HGkHSlW95jjnbwJwU7rPISIiIhqqBjpQHi9/pa65dUAfegynbFIODbiqTBcwBFVl\n",
       "uoAhpirTBQxBVZkuYIipynQBQ1BVpgugkzPQgTLbiGpWDC2AiCjHUBIREdFAyoZ8ISJqm/P5tNoI\n",
       "vfnbrJ5rwh5KIiIiokE23HsoGSiJiIiIBpkYGSiJiIiIKA2GYd5Deaq3XiQiIiKiYYY9lERERESD\n",
       "jGMoiYiIiCgtDJRERERElBYxDO9RhsP70xERERHRoGMPJREREdEg4ytvIiIiIkoLAyURERERpYWB\n",
       "koiIiIjSMtx3yuGkHCIiIiJKC3soiYiIiAYZX3kTERERUVoYKImIiIgoLYZhHig5hpKIiCiLiYhd\n",
       "RIpFhD+zKWuxh5KIiChLVUyaetNlV137jZFjKpxvLnulTkQuV9W9ma6LThxfeRMREdEpJyLeK/7j\n",
       "+m9+8a67ywDgQ9dcV3DHTZ96AMAVma2MTgYDJREREWVC/thJU709B3aHE75Aji+TBdHJG+6BkuMx\n",
       "iIiIslPtG6+8sCcaiQAAdm3bEtvXWP9OhmsiOiL2UBIREWUhVQ17fP6P3XHzp37nDeS4Gmp2v711\n",
       "/du3Z7ouOjnDvYeSgZKIiChLtbe2VAP4QKbroPQN90DJV95EREREg0yMxrR+HbFNkUtEZIuIbBeR\n",
       "/znCeb+IPCMi60RklYhMHqzPx0BJRERENMSIiBHA/QAuATAJwDUiMrHPZXcAWKuq0wFcB+DewaqH\n",
       "r7yJiIiyjIh4fGOm/sHqyx0Ratlf27Zr4y2q2pnpuujkDcIr7zkAqlV1NwCIyBNILim1udc1EwH8\n",
       "BABUdauIlIlInqoeGOhiGCiJiIiyjG/s9Cdn3PzDiywuH8JtzVj30Lc9AC7PdF108gYhUI4AUNfr\n",
       "eA+AuX2uWQfgYwBeF5E5AEYBKAHAQElERDTcuQpHl1tcySUnrd4cOAtHjc1wSZSmEw2UwYaNCDVu\n",
       "PNYl2o9mfgLgXhF5G8B6AG8DiJ9QIf3EQElERJRlwu3NXaoKEYGqItLW3JXpmujUshdPhr34vTk0\n",
       "bWuf7HtJPYDSXselSPZSHqKqHQBu6DkWkV0Adg50rQADJRERUdbp3ldz+/pHvvcbf8WMnIPb1h7o\n",
       "2ld7W6ZrovQYDDLQTb4FoEJEygA0APgkgGt6XyAiXgBBVY2IyM0Alg7WWFwGSiIioizTubfmZRGZ\n",
       "sfetxcUA6lU1lOmaKD0ywIFSVWMiciuAFwEYATykqptF5JbU+QeQnP39iIgogA0AbhzQInpJO1CK\n",
       "yP8C+CCA/ao69SjX/BrApQC6AXxaVd9O97lERETDmaoGAezIdB00MEQGvIcSqroIwKI+X3ug159X\n",
       "ABg/4A8+goFYh/JhJNdAOiIRuQzAWFWtAPAZAL8bgGcSERENayJiEpEZIjJBBiON0CllMEhav7Jd\n",
       "2j2Uqvpa6v390XwYwKOpa1eJiE9EClR1X7rPJiIiGo5ExFkwYeYL4y+8akakuyNWvfTZF0XkGlXt\n",
       "z8xeolPuVIyhPNI6SSUAGCiJiIiOwD+y4vvn3frjcxz+PACAM1BwxRsPfu+DAP6V2croZA30GMps\n",
       "c6om5fT9LvJfWEREREdhtFgL7L7cQ8fughE2s905KoMlUZoYKNPXd52kktTXDiMid/U6rFLVqsEr\n",
       "i4iIKDtFOtv/tOn5xz4w+YP/mZdIxLHhX3/a1dm895+ZrmsoEJFKAJUZLuMwhmE+DPZUBMpnAdwK\n",
       "4AkRmQeg9WjjJ1X1rlNQDxERUVZra6x50Tdi9BcaN66+MR6NxNsadn0rHgnvOf6dlOqMquo5FpE7\n",
       "M1bMaWQglg16HMACALkiUgfgTgBmIDl1XVWfF5HLRKQaQBeA69N9JhER0XDXWr/rSQCHbY9CQxNf\n",
       "eR+Hql7Tj2tuTfc5REREREMVAyURERERpWUorCWZjoFY2JyIiIiITmPsoSQiIiIaZDLMu/AYKImI\n",
       "iIgG2XDfPZOBkoiIiGiQcQwlEREREdExsIeSiIiIaJBx2SAiIiIiSgsDJRERERGlhXt5ExEREVFa\n",
       "hnsPJSflEBEREVFa2ENJRERENMiGew8lAyURERHRIBvu61AyUBIRERENsuG+Uw7HUBIRERFRWthD\n",
       "SURElCVsVmvJvJlTfpfr93l21zeuXrN+8/+oajzTdVH6ZJh34TFQEhERZQERMV983lnPPfW7n86w\n",
       "22xYs37zvM99+8cA8JVM10bpG4wxlCJyCYBfATAC+KOq3t3nfC6AxwAUIpn57lHVRwa8EPCVNxER\n",
       "UbYY9dGLF46022wAgDOnTrSUjSianeGaaICIQdL6dVh7IkYA9wO4BMAkANeIyMQ+l90K4G1VnQGg\n",
       "EsDPRWRQOhMZKImIiLJD06btOzt6DkLhMJpaWjszWRBltTkAqlV1t6pGATwB4Io+1zQC8KT+7AHQ\n",
       "rKqxwSiGr7yJiIiygKq2njFlwi++/P2f/7+p48d6nn5xSe3Kt9d/LtN10cAYhFneIwDU9TreA2Bu\n",
       "n2seBPCqiDQAcAO4aqCL6MFASURElCXWbtjyaxH5M4A8ALtVNZLpmmhgDMIYSu3HNXcAeEdVK0Wk\n",
       "HMBiEZmuqh3Hu/FEMVASERFlEVVtAdCS6TpoYJ3oTjkt299Gy/a3j3VJPYDSXselSPZS9nY2gB8C\n",
       "gKruEJFdAMYDeOuEiukHBkoiIiKiLOOvmAl/xcxDx7sWPdz3krcAVIhIGYAGAJ8EcE2fa7YAuBDA\n",
       "chEpQDJM7hyMehkoiYiIiAaZcYBfeatqTERuBfAikssGPaSqm0XkltT5BwD8CMDDIrIOyYnYX1PV\n",
       "gwNaSAoDJREREdEgG+hACQCqugjAoj5fe6DXn5sAXD7gDz4CBkoiIiKiQTYYgTKbMFASERFlUMDt\n",
       "LJ9eVvxAgc/l3rnv4ObV22tvUdVwpuuigcVASURERINCRIwXzRj/1F+/dt10i8mEXfuaZ93w6yfi\n",
       "AG7MdG1EJ4KBkoiI6ASJSB4AJ4BaVU2k0VTRhdPHFVlMyR/HowtyDCPz/H23z6NhgD2UREREdMj0\n",
       "wpxffmHO5KtyHTbLv7fVbBKRy1S16ySba3q3pqEdQD4ABCNR7Gvt4BqUw5CJgZKIiIgAwGoyzvru\n",
       "wlk3XDWl3AMAl1SUnnfTP5feDeDWk2lPVUNTRxV968b7nvj+hJIC17INOxpWb6+9eUCLpqzAHkoi\n",
       "IiICAHitljET8nyenuN8px0us7konTbX1zT+VUSeBuAD0KSq/dlSjyirGDJdABER0VBxoDv02uPv\n",
       "Vu9MpDLf89tq21pC4X+n266qRlX1AMPk8GU0SFq/sl3aPZQicgmAXyG5SvsfVfXuPudzATwGoDD1\n",
       "vHtU9ZF0n0tERHSqqWpjscf5qeufqfqR02Iy1rR2/mtrU+v/Zrouyn5Gw/Duw0srUIqIEcD9SO4T\n",
       "WQ9gtYg8q6qbe112K4C3VfUbqXC5VUQeU9VYOs8mIiLKhIb2rlUALsh0HTS0DIVexnSkG5fnAKhW\n",
       "1d2qGgXwBIAr+lzTCKBnvIkHQDPDJBEREdHwke4r7xEA6nod7wEwt881DwJ4VUQaALgBXJXmM4mI\n",
       "iLKWZ0T5Da7CUTcCis69tQ+21+94JNM1UeYN9x7KdANlfwYP3wHgHVWtFJFyAItFZLqqdqT5bCIi\n",
       "oqzizBtROeb8T/yk/ANX5wFA9UuPj3XmFVd3HWh4PdO1UWYxUB5bPYDSXselSPZS9nY2gB8CgKru\n",
       "EJFdAMYDeKtvYyJyV6/DKlWtSrM+IiKiU8bscH1s5LmX5/Ucjzrn8vw9Kxd9FAAD5SkiIpUAKjNc\n",
       "xmGMwkB5LG8BqBCRMgANAD4J4Jo+12xBctLOchEpQDJM7jxSY6p6V5r1EBERnRIi4pw0Iu9Oq8mU\n",
       "39zZ/UBNU+uKeDj0blvN1lDu+DNsANBauzUYC4fWZ7rW00mqM6qq51hE7sxYMaeRtAKlqsZE5FYA\n",
       "LyK5bNBDqrpZRG5JnX8AwI8APCwi65CcBPQ1VT2YZt1EREQZIyKWsytKFz944xVn5Xuc+Mlzr11U\n",
       "nh/4r84DLQ9t/PtvKvMnzalUKA5sevPVrv11j2a6Xso8vvI+DlVdBGBRn6890OvPTQAuT/c5RERE\n",
       "2cJokFn/fdHcM4v9bgDAN684r2j1rvr/3rH/4GIA14qID4CqaltGC6WswUBJRERE7xNPaKQ7HI0B\n",
       "sKSOEYsnEj3nVbU1Y8VRVjIxUBIREVEfa3/3yuolBV7XRSUBj/mn/3p9Z/W+g9/OdFGUvdhDSURE\n",
       "RO+jqgkRueKzDz93tdNqKdp9oOWvoWis7vh3Eg1PDJREREQnoKCo+GK3xzPZ7fE+X9fc+pdM10ND\n",
       "A3soiYiICAAwbeaZv/3WD+7+z0lTp7ue/Muf/t+YsRWf21m9/blM10XZb7gHynT38iYiIjotiIjv\n",
       "7PMqL7/k8o+4RpaNxu3fvHPE6PKKr2W6LhoajAZJ61e2Y6AkIiLqH7PD4TT2/oLFasv+n/REpwAD\n",
       "JRERUf80vfrSoreqt22JqSqe/utfWndVb/tbpouioWG491ByDCUREVE/qKqKyMdu+8z1d9hstnFd\n",
       "XZ3PVG/d8lSm66KhYTBCoYhcAuBXSO5W+EdVvbvP+a8A+I/UoQnARAC5g7FOKgMlERHREUwcVXyd\n",
       "y2H/QFcwtG5zTcMvVDWhqjEA3+u5xu10jJk9edz9fo/bsbth7/K1m6u/paqawbIpSw10oBQRI4D7\n",
       "AVwIoB7AahF5VlU391yjqvcAuCd1/YcA3DZYi+4zUBIREfUxo6Lsru/d+IkvXz7/DM/abbs+8d/3\n",
       "/mmGiPwYQKeq1gCAiDguXzDvn0/89I4pFrMZb7yzce5tP/19DMCdma2eThNzAFSr6m4AEJEnAFwB\n",
       "YPNRrv8UgMeP1piIfBHAn1W15WSKYaAkIiJKMToCZ5rc+d/Od7krfV6vR0RQUVJkdXSFr/zm2IrL\n",
       "D0aj4clu99MbOzo+C6Di6ksqyyxmMwDg7BmTbSUFufMz+wkoWw3CK+8RAHovpr8HwNwjXSgiDgAX\n",
       "A/j8MdorQLKXcy2A/wXw4on0tjNQEhERATCYbWPso+Y+5Zt97aiECL7wxL/xqN2Cf734Ov6nuNTq\n",
       "N5utAJBjsXzKYjA8DKB2Q/XutqsuXuACgK5gCC3tHW0Z/RCUtU40UG5fuxLVb6861iUnMrTicgCv\n",
       "H+t1t6p+U0S+DeAiAJ8GcL+I/A3AQ6q643gPYKAkIqLTns1iLpk9bsxLuSOco2pr/4WDJZega9TF\n",
       "uP9fzyFYUxu9zJ1j7rl2lN3u9phMI5sikVVnTqr4dSgSuXXcqBLn0y+/vuv1tzd+IZOfg7LXiQbK\n",
       "CbPOwoRZZx06fvHhX/e9pB5Aaa/jUiR7KY/kahzjdXeP1JaiewHsAxAH4AfwdxF5WVW/eqx7GSiJ\n",
       "iOi0JiJy/syJzzz1vS+W2yxm1O4/iCt/twj7AvP03yveedkTantzUXHs85fmF/jjqvh7Y0N1czS6\n",
       "FADWbNr+UxH5I4AAgBpVjWb209Bp5C0AFSJSBqABwCcBXNP3IhHxAjgPyTGURyUiXwJwHYBmAH8E\n",
       "8BVVjYqIAcB2AAyUREREx+CfP2Vcsc2S7IQcmR9AqbVLt6565PVIc8OHW1VDY53Ouqrm5itD8Xh0\n",
       "Z3f311V1f8/NqnoQwMFMFU9Dg1EGdgylqsZE5FYALyK5bNBDqrpZRG5JnX8gdelHkBwPGTxOkwEA\n",
       "H+uZdNbrOQkRufx49TBQEhHR6a5tS21DR89BJBpD24E9ayIHtl/Q0+NY3dX1AIAHjtoC0XEYBjhQ\n",
       "AoCqLgKwqM/XHuhz/CiAR/vRXHnfMCkif1bV/1TVTce7mYGSiIhOa6oanziq+Ouf/smDd08dU+Je\n",
       "tm7rvnU7aq/i62saSMbs3+xmcu8DETEBOLO/NzNQEhHRaW9zTcM/ROTff12yyg+gSVUTma6JhhdD\n",
       "lm6fKCJ3APgGALuIdPQ6FQXwh/62w728iYiIAKhqVFX3Z0uYlCSrR8TtE3Fluh4anlT1R6rqBnCP\n",
       "qrp7/Qqo6tf72w57KImIiLKEiFgAWKcArgsAxyhACgDjYqALQGem66OTN9CTcgaKiExQ1S0AnhSR\n",
       "M/qeV9W1/WmHgZKIiChDRMQMwDoecBYCzv8CjGMBLQFiFUBQALwOODsBS6ZrpfQMxqScAXI7gJsB\n",
       "/BxHXix9YX8aYaAkIiI6RUTECMA6FnAUAO5rAFMFoKOTATJkA9AOyFbA+m+rM9Bs97m6rS5buGN/\n",
       "J4CdGS6f0pCtk3JU9ebU75XptMNASURENEhSi0Jb8gB7GeC5ArCMAzAaiI8Hwl4gDACNgPEtwFFr\n",
       "97na7V6H2RUQu90bL7U4wk3hTkVXU5bGERrqROTjOMY2jqr6dH/aYaAkIqLT1rgR+RdVjCj4rs9l\n",
       "t2yp27tibXXdF9OdlNMzDnIm4L4IcIwFpBxIlAORkuRYSABANWBeI0ZrjdPvCdu9VosrB06bO1pm\n",
       "cRxvAWoagrJ1ljeS+3wfa19wBkoiIqKjEZGCmy6Z/8C9n/1EmYhg9baayf/927/uB/C9E2zHCMA6\n",
       "BnAWAa5rAeN4AGOA6Higu+e6MID1gLXOaLE1OAPuuMNntrkC6rU4Iw6zrfuoD6BhIVvHUKrqpwei\n",
       "HQZKIiI6LVnNpmmfOPeMUZL6QT973Chrntc1+3j3SfIGiwuwjgO8HwSskwDp9Rr7UG9Pz3jIWqvT\n",
       "0Wz3ucTpN9odvni+1Rm1GC1cOP00kq1jKEXkWlV9TERuR/L/u9L7d1X9RX/aYaAkIqLTUjga27F8\n",
       "4459504ZWwgAdQdatKWzu+ZI16Z6IW0TAecCwFUOGCoALQeiY3r1QgJAE2DYAtiONB5SDMZT8MmI\n",
       "Togz9bsb73/1LTj2q/D3YaAkIqLTkqrunFFeevfOvU235vvc5jc27dy0trruKz3nRcTa0wt5BWAb\n",
       "B6ACiE1KzcburQYw7U6Nh+y2e21WZ0Addk+M4yGpRxa/8n4g9ftd6bTDQElERKeFgN9XMXXSxF96\n",
       "PW7b7to9L7y7cdM97+yo+5WI3AfACiAEwFYhklsAuP8LME1ITqaJjuk1mabHFsBSY7TY6pwBT894\n",
       "SLfFGcnneEg6AmP2TsoBAIhIOYBfATgLyZ7JNwB8WVX7tVwVAyUREQ17IuL5yGWX/POxP9w30WKx\n",
       "4LkXFs+dPmVS+N2Nm38PwDYd8BQDjomAjgUSvZf06REGsAmw1Zrt9v0On0ucAaPN6U9wPCT1R7b2\n",
       "UPbyfwDuB/Cx1PEnATwOYG5/bmagJCKiYc9oMEy/6bpPVZjNZoRCIZw7b7Yrz+n4yFXAogkAxidn\n",
       "ZB/WC9kEGHYBll02j6vF4XUanQGD3e6LF1kcEZPRFMnARyEaLHZV/XOv48dE5Kv9vZmBkoiIhiwR\n",
       "KS902OYdCIbfiSUSG49yjQFA21tvrWmbPHpUjimeQCQUhL27u+1rfSbUAMlFxncA1hpnwN1u9zos\n",
       "zhw47Z7YSLMtxEk1dLKyeJZ3AMkJOItE5BtI9koCyR7KRf1tJ+1AKSKXIPnO3Qjgj6p69xGuqQTw\n",
       "SwBmAE3pbu9DRERU7nVffdOEMT+/sKSwePWB5qaJfu/dm1va7gEAETEBsM0EPJcCzolA96p//Psp\n",
       "S2f3R0aVljieefa5nVM2bP52T1vVgLk2Nakm4vBZrK4cuKzu6GiLneMhaUBk8SvvtXj/bO7PpH7v\n",
       "meX99f40klagTC2jcD+ACwHUA1gtIs+q6uZe1/gA/AbAxaq6R0Ry03kmERERAIxxO79669RxxQAw\n",
       "we/J3dzS/hmryB9mAr4rk2tD6vteZVdXf/fB6uo/vAl4rgZ2xgB53mjx9l5k3Gd1RewmK2dm04DL\n",
       "1kk5qlo2EO2k20M5B0C1qu4GABF5AsAVADb3uuZTAJ5S1T0AoKpNaT6TiIgIdpPRGI7HEY7FEY5G\n",
       "4VW1fQUonAMES44wHjIMYBbQUmu2h151Boq4yDidSlmaJ99HRKYAmATg0MpYqvqn/tybbqAcAaCu\n",
       "1/EeHD4bqAKAWUSWILlo5r19Bn0SERH1S2o8pG0M4HS6HO+s2bNv3Iwcr725Kxjd39657nags/f1\n",
       "TYBhO2Cts3mcLQ6v0+TMEbvDlyg22yMmo6nfizYTDXcicheABQAmA/g3gEsBvA7glATK/vzHaAZw\n",
       "BoALADgArBCRlaq6Pc1nExHRMGMRQ2mpyXpbHBqsiYV/pqptPbvUjAdcFwHuiYCMB+LjO7vvuHvj\n",
       "9prnLOYzo7FY9W0d3T8HOKmGspMxe8dQ9rgSwHQAa1X1ehEpAPCX/t6cbqCsB1Da67gUyV7K3uqQ\n",
       "nIgTBBAUkWWpgg8LlKl03KNKVavSrI+IiIYIh8E4+iybZ/HnvMXlXYk47m3d86ExIp9YAJjjZWW3\n",
       "Ou2OQmdryzP/2dj4Ss89P+oKPoCuIKoB82Yx2l9w+j0Rp99qdQaUk2pOT6mJwJUZLuMwWTwpp0dQ\n",
       "VeMiEhMRL4D9eH/GO6Z0A+VbACpEpAxAA5JTzK/pc80/Adyf+hemFclX4kfcaDzdbX+IiGjoKjJa\n",
       "vv0Zd0F5XOOwquJ6V+70p1r3XOmcNvXSH/7il/NHjhxp+L/H/rzgu4888oOv19T8ddcRdqpJTaph\n",
       "iDyNpTqjqnqOReTOjBXTi9GQ6QqOa7WI+AE8iGS+60Jyt5x+SStQqmpMRG4F8CKSywY9pKqbReSW\n",
       "1PkHVHWLiLwA4F0ACQAPquqmdJ5LRETDg4hYXIBtMuBzGS1OJOJwG4wwGQzojAtiEPelH/nIlFGj\n",
       "RhpUgY9f+YlA1cuvXP1oW2wFJ9UQDRxV/Xzqj79P5TaPqr7b3/vTXodSVRehz8KXPRuN9zq+B8A9\n",
       "6T6LiIiGvlSItE8EfNcAlkmATgXCL8UjP32ic9+Z17gKysOawN86978zWuPPt7a03NzUdBDBUBgq\n",
       "RsRgkeKSaZxUQ0PKYLzyHsi1wEVEkNx28Rwk58i8hmRnYL9wpxwiIhp0ImLNB+zlgO9awDQZ0OlA\n",
       "OL/X8j43AI2PhjuvfCAa/q84NDbW4njG5C2Upa8uX11QOnbhuHHjbU/+7YkD0b0tfzK5ShgmaUgZ\n",
       "6Ek5g7AW+G8BlCO5U44AuEVEPtCr5/KYGCiJiGhQiIg1D3CMAXz/BZimAPHJQCQfOGwP7J6dahJO\n",
       "v2m8w/dkz041Los9VpaIf/PR+37/yajfe6OvfIotOKLsa6807PnNBc7Cl1qjQctb+3dUCiAzc8uq\n",
       "AlZXOBOfleh4BqGHcqDXAl8IYJKqJlLtPQKg30MUGSiJiGjA9ITIcYeHyMOC3pYjTKrxWpwRh9n2\n",
       "vp1qxGBE2J970Vk3fC3XkFz2x/3mY/d+tqm1Y9k7e7f+/lK7fypUsWh/dau7YvS76AwvnmvKf/5U\n",
       "fWaiDBnotcCrAYwEsDt1PDL1tX5hoCQiorT0DpE3AabxQPwMIOztEyLDADYBtlqz3b7f4XPBlWPq\n",
       "76Qaq9NjN/RaQ9IRyLet2fbqtVc5c6blGywAgE8ajf62WbMWeIryZzz/xNO2ecaCpwfh4xKdlEGY\n",
       "5T0ga4GLyHOpP7oBbBaRN1NtzwGwur/FMFASEdEJ62+I7LtTjdEZMDgc/nhRcqeaw159H024ed/O\n",
       "zua941w5hYZosAsttdv3eiAWG977KW2HEfUd7bjmhk97l75SdQEOgoGSssaJvvJe/cZreGvF68e6\n",
       "ZKDWAv95n3t6gqqgf6EVAAMlERH1U39D5GDsVHO+0ffdJY//NmT2+EZ1HdwfdrV3PO53+vc83d16\n",
       "7bX2gE0geM6qcHUGEYtFEQoFI8nOGaLscKJDKOfMPxdz5p976Pj3vzhsAveArAXeexMZESkEMBvJ\n",
       "IPmmqu7vb70MlEREdFT9DZE9k2pqnH5PxOGz9EyqGaidajxmW/QKc+EPVnXv+fxl50z+eMXI4l/8\n",
       "c8nKPW2GkR3PmKw2QFFx2Uex/pVncccd3wh1729ZDJdnIB5NlJUGei1wEbkKwM8ALE196X4R+aqq\n",
       "PtmfekQ1O1ZeEBFV1azfl4iIaLjrHSLHpibWpELkoR8YYQDbAGud0WJrcAbcPZNqPMmdauKDUdf2\n",
       "jv2Bklkj/u+WT3wwHwBi8Tg+fe/fui/7/DcdAJBIJLD5uUfwgy/fgu//5Bc1tq1N1xbavV3HbjX7\n",
       "HQi2WZ5t2JjY2dHU7/Fs9J5syBciohsa2tJqY0qxF4P5OUTkXQAX9vRKikgegFdUdVp/7mcPJRER\n",
       "QUQs+YBHO/w4AAAgAElEQVSjPDk723yk2dntgOwArDVWp32/3ec+1TvVtEWD7tl5OdaeY5PRCFe4\n",
       "fc/iP/7Skj967IhE6z7zjR+9BBDB2WfPzn9yzZ9HFNq92wa7LqL+yP6tvCEADvQ6bk59rV8YKImI\n",
       "TlM9O9ZMBfx9QuShyTI9k2pq7D5Xq93rNLsCYrd746UWR/hkx0OerEmewj2vrHy7buGcaV63w4EV\n",
       "6zYHpTu0eHqw67F1TUu+/6MffOfCwoJ8AMDba9cfLHX4957SAomOwZD9gfIFAC+KyP8hGSQ/iT47\n",
       "IR4LX3kTEZ1GRMSc2vbQPxawTAMSqR1rEj3X1ACmXYC1zhlwd9u9NosrFw67J+a1ODK+X/aujibf\n",
       "Hmvn1z0uh727I7R6nnnEY2IwYn+o3b7LE7tndHnZqJaW1lD7ngMPzDYVLM50vQOBr7zTkw35QkR0\n",
       "y770XnlPKBi8V96pbRdLkZyQMz/15ddU9Zn+tsEeSiKiYa4nRE5O7p1t7dk7u6TXtoc9i4zvcfjc\n",
       "MYfXYnUG1GPzRPL6LDKeSS+21S9odni+ZPaPsu/eu6vpzIT1JbEme0nzbZ5gfgRfiGxoNuQbzQmY\n",
       "CjJcLdGQ87yqTgHw1MnczEBJRDQMiYjJDdgrAN+VgG16nxAZBvB2r0XG1ek32Rz+RMDqjNpN1gGZ\n",
       "mT2QumNhY7PT+6XCC64vA4BENFrw9ku/v3MS8IXe11mM5sQRbifKOEP/hyOecqqqIrJGROao6psn\n",
       "0wYDJRHRMJFaa84+HfBeATimAzoFiIxJhcgmwLACsPdeZNxu98WLLI4TWmR8ILVHQ+aXm2svS6ja\n",
       "Z7nzFpW5Akd8L9gYbPdYSipcPccGsxlGu8d96iolSs8QmJQzD8C1IlKD995eKGd5ExGdBnpC5EzA\n",
       "cwXg7BsiawBTFeDsGQ9pcuZIuouMD5T2aMj8ZFPt76Vk1nQYzIbF9Ws+Xqmxz1a485v7XjvK6W9d\n",
       "0bi9KTF1Ya7BaEK0sxXa2VIHryMTpROdsCEwKefi1O+9d8rpNwZKIqIhRkQMAOxTAM+lgCv1Ojs6\n",
       "PhUitwCWxWJ017pyPD3jIV1WdzTPYs+a8ZB1XS3u15tr/htl50w3OPMMACCjzy1fUf3K5yvc+d/v\n",
       "e73JYNKp0dhXN7zw++8Y7R6ndrbUXWz3f+/UV040PKnqbhE5E8A5SE7SW66qa/t7PwMlEdEQkAqR\n",
       "tvGA+yLAPR2QSUB0KtAVBrAJsP3TbHcNhfGQ29r35e1vrf/tHKujfKmh1/aIYoIe4+fSdG9R/XTg\n",
       "FgCA1z7odRINpGzvoBSR7wD4BICnkSz3YRH5u6oe9g+8I2GgJCLKUqmlPGxjANcFgGcKYJgMxM4A\n",
       "unvWh/ybzZObLeMh+6umteGLtwSKyuNQbGhci4OjzgUMJsRqVzVMs9ofzXR9RIPBkP2DKK8FME1V\n",
       "QwAgIj8GsA4AAyUR0VCTCpHWEsC5APBOBoxTgPg0ILgPMO0Wo/XPDq+/Z31Iu80dz4bxkCfCKDCb\n",
       "AVgg+ILNgr/uXIxtsfib052+u+f4S3dlur5sIprAxIN7Smd3t525RmTLmaodma6JTk7250nUA7AD\n",
       "CKWObQD29PdmBkoioiwgItaRyRDpmwwYxwPxKUCoFrA2GC3Wx5yB3J79st0WZ1atD3miXFb348+1\n",
       "N8243JObbxRBPBLcflne2P9XYPcc9/X8m5HGC6IWQ2UiEts515j/6HBcJqikuaaguGXPbEe4a44l\n",
       "HpljUM1PnXodwL8zWRsNa+0ANorIS6njDwB4U0TuQ3K29xePdTN3yiEiyhARseYn14r0TwRMU4B4\n",
       "GRBpBCy1Vqej2e5z9eyX7Unul33Kw5Mm4hiM3s8391dPbw+1f1IhwbH+0vtGu3Nbj3fPyvjeay+/\n",
       "8sM3XfKBhZ7qnbtj9/zivqr5ifyvDXhxp1h+W6NvZNPuOc5w52xLLDLHqInS3ufjkNYGV2BnXrjr\n",
       "S/MjwdczVedQlQ35QkS0rjm9zuXSHPeg7ZQDACLy6V6HiuQ4ykO/q+oxh6Owh5KI6BQ60v7ZASDR\n",
       "AWiNM+DdYHXbM7lfdo9dHU2+PaGGnxbarQXN4UiXSVw/nhUYvX6g2p+TP3YdkuOzACSD6wptvtrk\n",
       "cc4Od3Xvmxy23xuwusK97wkUF154yUXnewBgbPlo05lnzpjasHSTq9jh6xyouk4FV7DdVr5v2wxP\n",
       "sG2uNRaeZ0rEx/c+r0BnyGx/Z/OIKS3LJl0Q2Fo0YYYaTGcAMHHvxaFLsvydt6o+ks79DJRERIOs\n",
       "9/7Z16T2z/YA2i5Gw05Xjm9br6V9crJkaZ+6YMN3b5s8dpbdZISq4pebqr8TS8SuMhlMx32ttbGt\n",
       "sWBvuKOsyOreNclbtL8/z1suB2+55pabrpszd569qblJf/jtb4+ZH4p/tnegjsUi73t2MBRSi8EY\n",
       "O+EPd4oZEjEZ37hlYqCzaa4tEpxrSsRmCGDpOa9AJGY0v33AnbdpyeSLjG+OPXt82GyfB5FDP6M1\n",
       "Ft4hJisX3RzChsA6lGlhoCQiGgR9tz6cAMABoNvqtOy2ebJ+aR+/1RSwm5JhTkRQ5rS7G4Lt7pHO\n",
       "QHvfazURx2ux/Vep2TQpEgl3z1w4r/JDZ51VuGr58r2r3nrn3rmm/BeP97zckuK5c+bOswNAbk6u\n",
       "zD7r7DE7/7XMX+7Oa+m5pqOx+S8PPvzn4g9delHepi1bu7ds2Fp1li0vdPRWM2fEwdq8EQfr5jnD\n",
       "XWebY5G5Bqiv55wCGjMYN4VNtlXvjpxR//wZH80/6Mo9N240XX+oAdWEKRZZ4wx3VeU0bFy++q0n\n",
       "9+zsaGIHJWUtBkoiogHSd+vDcsDgAqTT7rPttXsdPa+yi8z2jC/ts7GtsaA9GvRM9Rbvcplth/Xy\n",
       "HQzHmjqjMbjMJsRVsauzu22uv+ywMAkArxlb77zu1i9dPGnqNFvVK4sTkVDQMG3GTEybMbPwh9/5\n",
       "9vVojB83UHZ3dcVV35sJ23rwYNRttr4vLM61FL389itv7l69fPV8Qyi2bb575IqT+/QDzxnqsI7d\n",
       "u3WmN9h2tjUanmfU+Nje5xNiaAybLCva7b43/zHrysjWkimzQmb7xQmDsfjQRaohSyy83B1sX1rR\n",
       "uOW1wrbGNgA4EGyzgIa8LH/jDRH5hKo+ebyvHQ0DJRFRGlIh0jYzGSKdJYDZZjAbQ06/tcPhtUac\n",
       "AbVbXbEyiyMrXmUDwF9b6m6LF034oMmVY9+2c/Xu80Kdt/adFDPGWfqd+zbv+EmezVLYGo522Yye\n",
       "HxxpPGd3LGwsmzp+9pTp020AcP4HLjL86aE/HDrvcrnMwBG3534fbWy5/5c/u/sHF1/2wRFbN29q\n",
       "3bFh03Nn23IO+57NdI+oBlAN8xEaOcVG79teWtjWON8e6Z5vjkfPlOQyKwAABYJRo3l10OJYWV0w\n",
       "bu1zsz5e0uLMqYyYrd9QMXh7rpNE4qA1Flrq6zpYNbnu3TfdoY7wkZ9GQ50h0wUc3x0A+obHI33t\n",
       "iBgoiYhOUO+tDy8E3KWA1W6xG2OOgC3m9Bujdm/Cl6Wvst86WDNKR874sHf8Ah8A2IonTVq+9MGv\n",
       "jU7+4Dik1OnvKHX6vwAAcB+9PZMYNB6Lvm/2eSgYVABSu3t3rG7Hzi1lyDluXWfaC9ZtX7P9079b\n",
       "+YMpjoTUnZ07eucJf7hB5gq22yr2bp3lCbadbYmF5/edjR0zGLeETbYVrU7/G0snnF+3YdTMsztt\n",
       "nsqIyXIbRA71MhoS8d32SHdVXvv+qim1b683JeLZsdwKDapsnZQjIpcCuAzACBH5Nd7b1McNINrf\n",
       "dhgoiYj6offWh+cC/hLAard7reIMmC0OH2x2b9yfwVnZ/dUWCQdM3gJXz7HRbIOYrM6Tbc9iNCfq\n",
       "t+94ecnLi6+cOn2ma+mrL7dseufdLd+5/fZosK195+yE7zfo57ekwp3fXIH8pSdby2Ao27+jpKi1\n",
       "/hx7pPscczw6q/dkmgSkLWqyrOyyOpfX5YxasXTShY76wMjKLpvrCzGDafqhBKGqpnj0XUe4q6r4\n",
       "YF3VhIZNuzP1eShzsnhSTgOANQCuSP3eU2k7gC/3txEGSiKio0jtWmMfA7jOBvIKDSarzeFzuJ2B\n",
       "hNnph8vqjros9kHrhdzV2eTd7jLcYXe7faGWls0LxP/rdBfynuwt2PbS9hU1tvyx5WIwobtuXZcz\n",
       "Gl5+ou3sD7XbN7Tvm2QTY8c5eWN+/dIjj61+3vrEFEcosfJCV/F6tAOQPPQ3TGYLWyRoGte46Qxf\n",
       "d+s51mjoHKMmynrOpSbTbAyZ7ctbnIE3NpZM3biubNaEA56Cym6L49MJo2nMoYZUo+ZYeJU72LFk\n",
       "9L7ty0oP1jZn4vMQHY+qrgOwTkT+oqr97pHsiwubExH10rN/9gjAUwTkFVocbpfda/G6cqN2hzdx\n",
       "qhYY10Qci82dj159+7em2hxONNbsjL7w4P1PX2zKvzvdtte1NY5YD/2qmGxWe7hz+VSz7fm6YGuF\n",
       "3+SonxkoOe5Wa1vb9+XWF7h/c9ZlHx3T2rQ/+O6rL71ysTHvu+nWlSmFrfWBUU27z3WGOs81xyPz\n",
       "JDkhH0ByTciIyfJGl9X9ek1u2fLd+eUd60tnzGpx5SwMme2VajDk9VwrmuiwRMOvebtbl0yo37gi\n",
       "0NU8IP/YOBBsszzbsDHBWd4nJxvyhYhoc3tXWm3keJyDvbD5OQDuBFCG9zocVVXHHPWmXthDSUSn\n",
       "vZ4QWQQEzhBDrt/m9uTYvaYcd37YaffEvWZb+6l+lV3d1RwYc968Ipsj+Ta6aNQYszs/fyIOpt/2\n",
       "dG9R/XTgNgBYawzPso8v/POXLvhE4dp3N3esXLXuj/OMRY8d6/5at+n2T335mxUWqw0AXCJywfIn\n",
       "n3x8fl75tvSrG3yiCYxr3Dwut/3AefZo93mmRHxK7/NxMVaHzNbXW52B17cUT16311ds2zJi8vx2\n",
       "h/drYZN1PsRwaMiAJOL7bNHQkpzOpqopte+stUVDWb8uJmVGFr/y7vEQkn8vrAUQP9GbGSiJ6LTU\n",
       "EyIDQM5Us70wz+p05zt8yHXnhTxWV9Bhtp3wX6gDKc/m7ty2t+HQsjnxWAzBzo7wMWfI9LK5Y1/+\n",
       "Hrfpy0aT2WLt6H5mvr3wsC372qMhczRgv/ubt33WLyI4c9oUT+3efZ/t3h1+3GGyHvXzG60WWypM\n",
       "AgB8eQX2EBLeo12fDRzhTsu4xs2zvd1tC6yx0LkG1YKecwpEokbz6m6rc1mDv+T12tzRjXU5o3J3\n",
       "Foxd0GlzXx81Wub2XmTcGI9tt0e6qwraGpdMrlu3xZAlb/oou2XrpJxeWlV10cnezEBJRKeNVIh0\n",
       "+oGcSTZPcYHF6Sx0+hL57rxuv8XZZjIefxeYU8Vntke6a2ofXfSnP9wwYkyFe+Pq5fsCzZ0/gfv4\n",
       "gbKuq8V9YETgt5/+0jfGmM0WvPqPx6e9sXzFt8+2F67sfd3zoabvT6sY7+/9gy6Qk2t7a+3K8efl\n",
       "V2w6WvvGju4X31z87+lzPvBBXyQcxsrnn9k11V2wIZ3POxjy2xp9ZQd2nuMKdVaa45GzBLD3nEtA\n",
       "miJm62vtdu+y7YXjV3XYvaGtxZNG1QdKL+62OitjRvO0Qw0lFxlf6wx3VZU011RV7N163GEBREPQ\n",
       "EhH5GYCnARxavkpV1/bn5rQDpYhcAuBXSA69/qOqHnF8j4jMBrACwFWq+nS6zyUi6o/U7GxPwOLI\n",
       "meDMGVFk81hKHJ5YviPQ7be5snqiRKUl/6ld7257ufrNNXlT3Xl1AXdRv9Yo3BptnXfxx24eY7FY\n",
       "AQDnf+SanD++s/ajSOB9gdLoLyzfn3BhzaZtOHPSOOzd34S3t9erGXLMYL3AWvDC0pdfkq1vvnFR\n",
       "PBwOlXbEfpHvKciKdTbH7Ns2qrC1cYE90r3AlIhNl17L/8UMxi0hs31Zsztv2daiCZsjJis2lM6Y\n",
       "fMBbcHPQYq9MGEyjDzWkGrbEIivdofYl5Xu3LituqW894gOJ+mkwXnkfL4OJSCWAfwLoWYbrKVX9\n",
       "wVGamwdAAczq8/WF/aklrUCZWtD3fgAXAqgHsFpEnlXVzUe47m4AL+C96ehERINCRMwAPAFHoGC8\n",
       "tzi/xOYyldi90RKHv9NutnZkur4TMdqV2zbalXv8lcF76epoG992YL+ifLwAQDjUjUQk2t33b/x4\n",
       "sDNknHg+7nvlDTgWrcKB+lq0tHZt/oi/ZPvxnrHAVrgIESyCuADPiVQ3sAyJmEys3zg10NlUaYuG\n",
       "KvvMyo5FjOaV3Vbn0j2Bkcv25Iza12VxmjeOnD67xRn4RshsX9BnUk27NRpe5u1uWTJxz/oVvu7W\n",
       "rNzWkYamgQ4//c1gAJaq6oeP156qVqZTT7o9lHMAVKvqbgAQkSeQXMeo74f5bwB/BzA7zecRER2m\n",
       "Zzyk0eL0+hy+wsk5Zf5im9tYanWGS5z+doshe15lnwr5qnPq/vFXQSwChy+ApX//S2R0EPf3HX5Z\n",
       "0N19b8NLj37TOXpywd7GFo0eOLj2Ikfu/xxpK8Zs8t54yNaF1mh4gQF6aOX0BKQtYrK81mH3LN1R\n",
       "MG5lqzPQ1eTOc20tnjS/3eGrDJus50Dk0LqbhkS80RYNLsnpaFoypfbtd6yxSEbHztLwZRj4MZT9\n",
       "zWD9erCIFAL4IYARqnqJiEwCcJaqPtSf+9MNlCMA1PU63gNgbp8CRyD5Ac9HMlCeVn+xE9HgSPVC\n",
       "Wm3e4tzc3DG5RSaLZ4TFgTKLLZxv97adbiGyN5NB5IqgYvdf/g8REeQHOw7m5I/t7HvdQm/xW3u7\n",
       "267dseqFEdMc/r0jc8Yctld3LBGTVc014xKqMjdn1LZ018E8WYGOJlf5/m3nukIdCy2xyNm9l/ZJ\n",
       "iKEhZLYtaXEGqrYUT34narLEa3PL8nbll1/aaXNXRo2WOX0m1WyzR7qXFLY2LJm0591tnFRDQ9Rx\n",
       "MxiSmetsEVmHZC/mV1T1aOOjHwHwMIBvpo63A/gbkrO/jyvdQNmf/wp/BeDrqqqpXoSjJmURuavX\n",
       "YZWqVqVXHhENF6mxkFaLJ99usrrzCosnuQsNJvcIsy0x2myPBKyO1tM5RPbWAVn2bqhr1DSb01Uf\n",
       "DUcb4tF3J1scRxx/WWj3dhXavUdc7icUjxrf7Nz+68tmls0QiDy/cdu7Mx3lt56qHszilj25I5t2\n",
       "VTrDXQtN8ehs6fUzKzUecsl+T8HS7UUTtsUNRmwrmjS6IVByXZfVuTBuNL+3FFByUs0aZ7hzSWlz\n",
       "zdKxe7fVn4r6KTNS4wYrM1zGYU60g3LZsmVYtmzZsS7pz993awGUqmp3aovFfwAYd5Rrc1X1ryLy\n",
       "dQBQ1aiI9Pu/9bQWNheReQDuUtVLUsffAJDoPShURHbivRCZC6AbwM2q+myftjK+8CgRZZdUL6TN\n",
       "kTvaZbQ6Az6zzZkPsY8yGOMlZlvMZ7FHGCKPbGnDxssisfDZBjFWn1s86U/H61l8sbn2nH1i+jg0\n",
       "FplhMt87zVvUUHVwyydvOXfi7RW5fhMA1LS0J+5bsv6+ypyJjw5W3WX7d5QUt+xZ6Ih0n29MxKZJ\n",
       "6ueHAomYwbS22+p8tT5QurQ2d3RjzGCUDSNnTj3gya8MWhwLEwbjqEMNJSfVrHAH25aM3bv1taLW\n",
       "hiE7qYYLm6cnG/KFiGiwO7117u0Ox/sWNu9PBjtCHbsAnKmqh61oKyJVAD4O4GVVnZlq/25VXdCf\n",
       "+tLtoXwLQIWIlCG5F+QnAVzT+4LeK6yLyMMAnusbJomIgPd6Ia2eAofFGfD6x8xzeg0me0Eiahtl\n",
       "tMQKDcZEjtXZbhTDcds63S0onvw8gOf7c+3LB+vm7c8dfad9bGUOEjGsfefpCndn0/UiifwCl+PQ\n",
       "z4l8l8MAw3vrNw4E0QTG7t1aXtC29wJ7JHi+UeOHek8UiESM5hWdNveS3Xnly/Z7C1s7rS7LxtLp\n",
       "s1udgRtDZtsCNRhyerXVZo2GX/N2tbw6sX79Sk6qoayiAz5a5LgZTEQKAOxPvSWeg2RH4tG2R7gd\n",
       "wHMAxojIGwDyAFzZ32LSCpSqGhORWwG8iOSU9YdUdbOI3JI6/0A67RPR8CciFqPFYbP7S9z+MXOd\n",
       "JpvH6teEvSASNI8wGJBvMMVzHN4OhsjB06D6EfvYyhwRAYxmWMeeV7Z+/T/nl1k9z/1l7ZZLP3vW\n",
       "tEIA+MuaLft8Btc/0n2eaAIT6jdOyu04cIEtGrzAqImRPecU6IqYrK+12z2vbi+csLzd4QsecOe7\n",
       "thZPOqfD4V2Y3KlGDo2f5KQaOl31M4NdCeBzqVfX3QCuPkZ7a0RkAZKvxAXA1hPZ25t7eRPRKSXJ\n",
       "yRFWm7/EYXXluqyefIvRYrcEwt3W3GjIUgKVPKM55rc4IgyRp8ZjB3Z9yzL72o8ZLMl1v8P7tobz\n",
       "ti358kUFY1e+1bp7etwUvgECGKKWP832jV5zMs8wxaOGCfUbpwe6mi6wRUPnG1QLe84lIK0Rs7Wq\n",
       "1eF7ZWvR5DeDVkd0d96Y/N15Yyq7bO7KqNE8q8+kmq2OSNeSgtbGqtNhUg1feacnG/KFiGio87A5\n",
       "byfE5vIM9l7eJgAfxOF7ef+iP/dzpxwiGlSpyXhWszNgs/uKPbnjF1gtrjyjGIymvO5WSyDSbRsR\n",
       "CSLfaIn5Hb6sWBz7dLPA4bv35bV/m2gtnz9Oo8FofNeq5R/IG70SAGb5ytYB+NLJtGuORYwT6zec\n",
       "4e86eKE1Gjr/fcv7iOwPm2yvHnTlvLKlePI7YbM1vqV48phGf8l13VbHwrjRPOlQQ8lJNW+5wp1L\n",
       "Spt2V5Xv296Y7mcmOuUG/pX3QHsOQBDAegAnXCwDJRENuJ4lfZx55W7/6NkOe2CkGK1OozEeMwQ6\n",
       "m5157XutxSKaa7RGvQyRA0oTcbzeVnuGmg1FRWpfWeHOP+5uQKVOf8cVZusNaza/NM1qkK5zc8ds\n",
       "EoPxpJ5viwRNExo2zvF1t1xgiYYXGqC+nnNxMdSHzbZXmtx5r2wpnrQhbLbL+pEzpje5878Ystgr\n",
       "EwZj6XsfREOWWPgNd7C9qqJxy2uFbY0ntLg7UdbJ/p70Eao67fiXHRlfeRNR2lI7NljtgVKHxZnj\n",
       "tnoLTY5AqcJgNFhCHQZf2153XjRsKRbRXIsj4jRZTqtxbrFETADAdApmpC9LNP5wwcJzF06dPNH2\n",
       "3L9eqGvdsuer0x0FR1wWaKDYIkHTxPoN87zdLR+wxiKVAj20hHpcDDUhi/3lA+78V7YWT9rSbvda\n",
       "N5ZOn9fq9FeGzbbzVAz+nmtFE63WaGipr6ulauKe9au8wTZOqgFfeacrG/KFiGioLb2dXm3enMF+\n",
       "5X0PgMWq+uLJ3M8eSiI6Yb1fY1s9+e6cinOtjpxRsHoLE5qIibltr8W7b7urKBE3FoohkWuxR20W\n",
       "R3prZgxBa9tqJnZYYz8qKyvJN5vN7bt3179xlhR+/2R7/47n+baaq/OmTr241pRj2LD4DVx9+aWl\n",
       "jzQ99gV0n9wr62NxhDst4xs2zfN2t15ojYUrBXD1nIuLYWfQ4li8z1v4cnXh+B0N/hJfdeH4czvs\n",
       "npsjJutZELH1XGtIxOtskWBVbsf+qqm176wzx6NZ/16QaJh6A8AzqdU2eibjqKr2a3NVBkoi6hcR\n",
       "sSD5GtvV8xrbHihNmOzeeDzUrvYDu53eXW86ixIJKTAYNWB1hC0GUyTTdQ8WTcRR093mzbU6uo60\n",
       "0Pf6tvqR4ozfd/VlFwUuXng2ANjfWr/lsgceemrzfPvIvw9GPabiok+dddVNBgDQGWfj7889AqvV\n",
       "YsJJRPmNbY0FHdGQa5qveLdJDPpGeP8HLQYUf7xxT9OE7raZllh4gQCHtjCMi3Fbt8X+yl5f8cs7\n",
       "Csfvqi4cN6Iup6yyy+r8RsxongF5b4aVMR7d5Ah3Lylqra+aUL9hx3CfVEMEJFc3yHK/ADAPwAbV\n",
       "Ey+WgZKIjqjvbOyCqZcZHTkj1e4viYnRHA0erLW6923zBYIdtqKemdk2d+h0mJld23XQ82o4+CtT\n",
       "fnlxoqsl7D1Y9+gVgdKne19zMNHxobNLSwMzp703t+SMyeOtMBumAHhfoHwrvG922Gn5WDwabR8T\n",
       "NN9X4vAftk1ij0g8anjtYM2shMB0pqd4TSC1A05YE0aXL+fQN19E0NEdicf2t74Ac+HRmjuiNwzN\n",
       "XznzwwsvzsvPt77y7LM1FXsbjV/Nzxvn37jOYAi+l05jBuPWoMWxuNE34uXqwnG1G0pnTNrvLbwk\n",
       "aHFUxo2mikMXqsbMscgqV6ijatSBnUvLDuzcf0IFEQ0H2R8oawFsPJkwCTBQElHKoUXFvYV2qzvf\n",
       "kzthocmRMwp2f0nc6s6PRLoPmhMHdtkcW6sCedGwuVCA03VSzdJw1x2esz49w2BOLrPT/u5zN+7q\n",
       "aHp1tDv3vd1YFPu9JkP8tRVrjB//0AUAgFdXrAkbY1jZ+2/e1ZF986dccM5d111/fU5HRwe++81v\n",
       "TXa0dN8YOMJWid2xsPFlbbt/6jXXn2G0WI3L//23TbOD0c8V2r1dNqM5frBud213e1uxw+NF674G\n",
       "bdi5Y92HLYXPnchnW9m0q3zhpz76oUsLcj2xl1/CvHdXTzaEQkBtNQAgXjEeb3R278qH67ZNJVMb\n",
       "14+cObvFGfiPkNm+QA2G/Pc+f6LTGgsv93S3VY1v2LQ8t+PAUUMy0Wkh+wPlLgBLRGQRgJ63S1w2\n",
       "iIiOrWccpNFstzryRrsDY+fbHTkjYfeXxO2B0ojBaIl2HdhhNe3d4nRtf62gIBE3FIgxOR7SYT/t\n",
       "QuT7WJy+njAJACZ/qbexeVd+70A52zP6mRc37jh/fFv3mT+q3mHqjCVCBxoPPj7fVvrC+9ryu6+8\n",
       "7vrrc0QEHo8HV//nf4z73+/9bPLC/Iq1fR/7Wve+D8669jOzCkaPNwKA74bbpiz9zY9vvhzeXwHA\n",
       "nIj59pd/+5OvW9yegkhb667zxffz/n4ke7jbPKFhw1lTg62fKrrvZ55QKDkfxgCgvbAY1g9/HLEF\n",
       "F76RW+oAACAASURBVKIrrxj/vPeRcDRv5hdSi4wfeu0ticR+WzS41N91sGpq7dur7ZHgKdnzm4gG\n",
       "xK7UL0vql6B/+4UDYKAkOm2kAqTFaHFa7IFSt3/0bLs9MFJsvmK1+0uidv+IrmBLvSl4sNZq2vhS\n",
       "nqer1TFJRHMNxoTP4jit98yu62pxb3bj+57cvPyO5qY2Y6itJtrWeIbZW2RSjSPS8P/ZO+swucr7\n",
       "7d/P8TNuO+suycZdIUoStLgUKYV6S2n7VmgpxQqFUlKg8IOiLaXF3T0e4gmxTXY3WdeZHbczc855\n",
       "3j9W2Pgmm8AG5nNduXZnzmMzSWbu89Vt7RXmjMb+cwycqE01ll+3pra+UqddzDRX8c4KIf+A7HZN\n",
       "S6VUTQPPdX8ch4NhlQUOsE4CgM4wVtls78vokYwWgGWsvY/dkiV+JnAL4gCEI3dI7JedvXCfxJoU\n",
       "QCqGgz9tEdZLhsh/Vm/2Ty2bk9ewUyN7OqqAnOnDAQwHAFZTa+RkbKk72L5sVNOWnel4yDRpDsEQ\n",
       "t1BSSm8dzPx02aA0ab7G9NaDNDiLjILJaZRs2azsyKeyLTdlcBWldFVB1FMn6t4GyR5sNTnV5Beu\n",
       "bEFOW5d6+ID4Hrzs1zfPlE0mJBMKnrv31i2e9mCNbrRX6slYolzX7p1uzzmm0jw7oh35zLDcf1z1\n",
       "ne8Werydyv+e/NdnM1O2/3ewTPDqsMfVkOt6YtZV1xUwLIM1r/y7Xdpd86vJpqzdA92vu07k9qm2\n",
       "aGCBqCbm9c/O7omJ/PBTq7tq3egpP1Adpe6wlMvrormfK5vqnJbaZFQiS/O7GpaVtVe3HMvrTjNw\n",
       "0mWDBsdQ0BeEEKp4mga1hpiRf6LLBg0D8Bsc2Cln3kDmpy2UadJ8jegRkILBVWzkZavRPep0zuDI\n",
       "p5I9VzU48hMMJyIR6mDjXQ2iULfeZor5DaW6TpwM21va55vtyj4EtszsLNnUrbsESYQztyBjtuL9\n",
       "vsDyOmTzEWYfnpHGzKY9VW3X/v2mW2bRlOabac5beaiyQnt8raejvSH18effC8UNcmeuwfrnyeac\n",
       "I4pJXk2yI5q3TrbH/AuFlDKPwRdlQDTCVsdEw0cNruIlr025LMNncs5J8NLFlGG/yOShNC6oympL\n",
       "PLS0vK1qRWawfXA95NKk+QZyEmR5vwTgEQBPAOj1pqRd3mnSfBPozcSWHfkyL1vNGZXzOYOzEJIt\n",
       "R5XteUlOMim9VsjI7uUWS6DFnJtKCFnotkJaviFZ2YMl7OsKa6oKluNAKUXQ0xERWOm4fTuUmjP8\n",
       "pcAbhxuzvG33FHcS15YRmw0aUBeKw6cGHDDnHHQ8p6WYEc3bJtqjXQvFlDJ/v441e+KC4aNdOSNW\n",
       "vT750vywwTpb4YSrQZg+ayXRda+USiyzRX1LRzZ9vt6kRL62JaDSpEkDAEhRSh851slpQZkmzUlE\n",
       "j4AUREumLFoyzRmV83nZkU8la5ZucBYpnGRSACAR6mDDbTtls7fBaIr5DYVUJ5mE1e28pBoN9m9c\n",
       "gfHBkuGL3vbsvbfdlVVUZvM01UeMXaG7IEtHntiPqnCHu9NpuNXscJiDHR3No+P8bS7JvE8nmI54\n",
       "yLBRD11OGUYqTbEvDLdkenqvBRLRacNh7BOFBRAtDUp4OoBlvc8xukpGNG8f54x4FwqpxAIW1NF7\n",
       "TSNMfVwwfLihZOrm98efWxzmxEWaIP8QhOlXH1KtlZOxZa5Q57JRTVt2cLp23GKiAqm4sMXXNExm\n",
       "+ehUV/He47VumjQnDUPfQvkWIeRnAF5FvzhuSqlvIJPTgjJNmiFMb0tD0Zol9Zbyke35RLbnaJIt\n",
       "JykYHUkAUBMREuuqF6mvRbQHW025anebQwcjqGkr5OAZa8ps2Nxcf3PzzqpbrYQx+al+fU0GbhhI\n",
       "n2ygu+i4x21c/LM/3TmS5wUE/F0jn7r7z2Sujt/3julMhOQNRv2x2Vf9bgQnSFjx/GPz9Jb2n4yw\n",
       "ZHUAgFGQtnaqqWg+WCMAdCIZl3lxG6E6Klu2j3aFPQulVHwBQ2lfvGOY4bGXN2kfuAqqO+b8YHVC\n",
       "NM3VWO6HvdcJ1WENN6nxrraV5Qy/+ETFQ9ZHfNbGUOPD8zOcJYFUUvm0dcvSuVmjbz1RHYPSpBmS\n",
       "DJGclcPwXXS7uH+z3/PFA5mcFpRp0gwhDhCQw2bzsj2fSrZsXXbk9wlIAIh56/l4y3bZHGg1WWNB\n",
       "uZxSZDIstQly8pvY5vBE0xXy3n6Z5BzOEIIkpQUvexrvKDe7fzKQuR1KxFg0YZSL5wUAgM3uhD0z\n",
       "Mx9tX3iRNycDZ0y/+hcjzM7u7Ox5V19f9N69f/rBCOAOAJifO2LpW3UbX2tTldmEUlIIperPkUSZ\n",
       "vK3hHYbq2b3r6IRpW8cbop7cCWW7iiehNaecjcvmSgCVAABKo5K3WrtQ6rJUJlthpEnu4b21xaWG\n",
       "shacIIG3J9T4q+sKCysNHAMAokTYBSu9dS+f6i7bfkI2TJNmKDLELZSU0qLBzE8LyjRpvkL2d2H3\n",
       "CkjZkaf3t0AC3W7sQMNG2dDVaDBFvMZcXWPdINTGfTOLi3+ZhFIJ3sFwVoZ0J1gKhMBCWPtA57tE\n",
       "Y2xTc1OfyFdVFSGfL9Ivwbq7tQ32fUi768B1P6Y6fi3Kb7kT7Uk5FV/AUn1B7zWdkM6Awb7io9Fn\n",
       "+lcNm1OWZNlTwfJ9a4mxIFKRrjXZLPf0qKYtG+v8W/47aXRZX2KOgWPYFNUZAexRfeOpukpWwXed\n",
       "NTNzdDQcitu9sbtHmDLb9h/HE8bUIya73w9BlJN6zHk0e6VJk+bEQgi5EAcm4QQBbKOUHrG7VVpQ\n",
       "pknzJbJPEo3BbjqUCxsAklEfE2z6XGJ9TbIl7DHkqorgBqFOltPsoklJu7G/PCy8lOrS1aBOaXaP\n",
       "hRIhaAeNK4qkEtzmVOv3GI7kSCnuvYnG/DUcw1Ha4ln86F9v+43N4TJ3tjbKmVkZGSvbOx4q8Kk3\n",
       "FhgdofG89d3VLz554YQzLx1ucWVgzavPNJQmyWOlgeqi7EDLQjkZW8RSvc/1pIP4vBb3uo9HnR79\n",
       "bNis8hQrXNBflPL+NnVYay2X1VaDVd6qveMzS2/IN9rDANAZS27a5Q8WDLdbpZZILFUfilcVu/mj\n",
       "Np+sgu+nl1/388uHjRgtplIKFt92c2bAE/+OjZf3SeBhGeGDJd6uCXNdTltSp/jI66mrMOcfULg9\n",
       "TZqvMydBlve1AKYDWILum9nZADYBKCaE3E4p/c/hJqcFZZo0J5DeMj69/bAzKudzvUk0+wtINREh\n",
       "oZbtEgJtgjXYZnYl43wWAAdh0m7sIYDLmnHTSyHvLWbCmAO67inJKLgJ6O6tvTXYmi8zfGKYxd25\n",
       "lXT846YfXjAlz2VnXvp03Skr1uxcPNVQ+O5UMWN1siN10aZ4439vueue4RzPF8Ui4aK7b/rjHQUK\n",
       "rm+j8YJiV4ZUQr1qw9vv6udvXeedFg4+wFKtovcMOkiwzZ679dNRC5Nryk4ZpnHC6X0HpDTJq8p6\n",
       "UyK8rNBTt7xl2/uFtfHwRdUUqRJn3gO9YhIAZjtH3PNi9a52jmkdldJQP91Z+eixvCfmDNeYYSNG\n",
       "iwDA8yKmz56bverJZ/KnuYr39B83M3P4Rys7qrjt4YbTk5SmnJLrvv7nSZPmG8HQF5Q8gEpKaQcA\n",
       "EEIyATwDYCqA5QDSgjJNmi+Dnk403XUgnUVG3mAzuEedzsm2nH3K+PSOVxMREm7bJaqBFsEWaDdZ\n",
       "lYhYTikyGIZaeTllTLuxhxTjnYV74Sy8uv9zPiUiVqVaHpw/tqA8lEhqK6urN5wxf+rwAreTAYBL\n",
       "T5tm37y77ltQ8C4AJHWNyS8psXJ8tzvaYDLDmenOXrZt8//LdjjO+v2IMnvy9ZehVu0EgIkAoBMS\n",
       "aXYUVC8duZCuLZ0+TOOEU3v3J1T3i6nECmsssGx4y/Y19qi/799MUVZFJ4CDFsImDIvZGSMP++Uw\n",
       "EGLhSFRJJCBK3RnvTfV7oxmi6aCW21MyK98D8N5g90yT5qRl6AvK/F4x2UNnz3NdhJAjlg1LC8o0\n",
       "aY4RQggDQGAFgyBZs4324skG0ZLJSNbs3kLiCsOJBwhILdjOW/0t5l4B6WRY3coJmjktIIcc2/wt\n",
       "ud6453qWEIFnpZenu4et6n99e7z5uj+eM22i02wgAOC2GGZVNbf3ffBSSpHUvii9Y+Iltaq5OUwp\n",
       "zSaEINnegoot6/KvU6Ol3KYaxDat7Z4nG1CVW45l2RNjO8pOkVVOmNC7BqOpe+VUfJkr5Fk+qmnL\n",
       "Nl5LfWXfUi5v/K7Ft/4xa8qs2dktjY3xxq07nptpzvB/Vef5uhFOJTi/qnCtqQQfAZMuJn+yM/QF\n",
       "5RJCyDsAXkS3y/tCAEsJIUYAgSNNTgvKNGkGSE8GtsAbHaJkzTLZS6ZJsj0Xki2HSpZMVbJlxxlO\n",
       "7BuvJiIk0lEjItAmmEOdRqsSEUsB6iQEdk5U0wJyaFMX9toSSteD1xcWFrEA3vF6Rq711Pxpakb5\n",
       "2t4xHE9cvWISAAocVunFzRuqV2+vqSjKckkvfrqmXfOrT6JfM528vY1//+SqS24dHfI7Mr2dwpmA\n",
       "AAAplkVb5RSsKZmOFc5RSHECABhAqcqryXVGJbIsr6th+VBqdTjckumJBZSrNv/35dwM0RSYaXT2\n",
       "iZ6YqrDruxpHAdBmZhTv4L7BveAHSlRNssFUnPdSSjoARESTEsws7NIFgx5PhBJHXCBNmsFxHYAL\n",
       "AJyC7uScpwG8Qrt7dM890uS0oEyT5hD0xj+KlkxJMLlMzvJTecmeA8marUvWbFW25+4T05iM+phE\n",
       "R41AfS2iLdxhsikxoYIQ6iBM2gJ5ElITapt/RVZGEUcIKKU4y5Xhuq+h8TwAfYKSUdmP39u2Z+oZ\n",
       "o0ttVKd48/Pqlnzq+O3TLy4dRXkU2DRpySRLfqMz7DEXtu8+zaxEFklaaiIBWADQCNFr8kcwG4bN\n",
       "wfrc8VD4btcxo6fAhhrjYij4+Piw9+WMcGfkq3kXjoyBE7WJjoLG/s/5kjGxWgo+cu1PLhiRTKn6\n",
       "C29+vGmC5v6FxPLaodb5JpLUVRJIxgWvrjHtAMKCnAq6iv2wZSd7GhVQwVvPRzprRKqm0u/dSc5Q\n",
       "T8qhlOoAXu75c9SkBWWaNOiLfxTQ3Qdb5mWr0T1yASvZctEvgSbVf07c38IpoXZe8rfIhkiX7E4p\n",
       "gosALsLqZl5KGY3pjjQnKzFVYYnb9u02TcVGmoI9NxNdXh8Ulgj9x02zln2yZHuNeX1d++mKquqs\n",
       "Ijw8wZrnAbDEGvUbKjqr5pgbt/4/VkudwgIMAGiEYK+7PLRq2GzT50WTmLhoBADkWlhMzhWw6oNX\n",
       "2gJ7ql8o1sgHvUXNTza2655r7/j5D8fmuF0EADKdtin3PfTc2aeaig7bXvLrjkZ1hJIJ3qcnuXYK\n",
       "eFlODVuzwpojP95TZ1Y39bRK7apdbYh69iAZ6YpG2nd1AUjfkJ7s6ENTUBJCVlFKZxJCIjiwbBCl\n",
       "lFoONm9/0oIyzTeS/u5r0eQy2osnS6I1m8j2XIiWTFWyZCU5ydT3H6s3/jEV83MWX7PBEA/ImZrG\n",
       "ughgZTjNwkupdBb214ct/pbSy3/+vayP3noNf/ndT2GUZVAAv73zgWLVr5L+7tsZ1vLXAbwODjDT\n",
       "oDRsz5oF5nhwoaAlTyGACAA6CKqyK7GxbDo2F01CVDJbQKnKqcnNDu/GwluvmuvKd4jYVlWtfNZa\n",
       "/f5ZxuxBJ8zsT13Ea20It9wgMIwpRZm1s9zD/3eiOtWwHON0Oax9oQBuh50jPJNxQjYb4vTGQXqo\n",
       "TjyEoUGjMxpz5sckW25StueqJnR/vkQ9e8Su6hVsrKteV8LecMxbFwGQ6LEapfk6MEQ75VBKZ/b8\n",
       "NB1p7OFIC8o0X3v6ZV/zffUfh83mJVsOJGuWLlqyUrI9d5+7/7i/hYt07Ob5YIdoiniN1mScLwWo\n",
       "AyAWVlAt6TqQX2tkjo8Hg4Hk8MrhBqMsA+iOUK8sKzQ0LquxFJkcwd6xBiUiDG/ZMdMaDy4UVGU2\n",
       "AfqafO9xl+vrymYwm4qnIGywguo6aEqBsuPjqgUM8yNX2BPZEenI/9vd624wWUxSV0fX9inIeOh4\n",
       "v55IKsE1hZsf+llx4UiZZbElGJzwccdObk726KeP914AYFTYlx959o2Z1191YaauUzz24lutzqT4\n",
       "DsQjz/2yaYr6zbvDHRU2QfZOchQ2DHa9/d3YAcGQDGVWdHGOvKTBkZ8UOREiukNk/PUbpGhnLRv3\n",
       "NauJYFtQCXXE0C0ih6bySDPkIIScDuB+dIfRPEEp/eshxk0G8BmASyilrx5iTCmAFkppghAyF8Bo\n",
       "AP+hlB4xIQdIC8o0X0N6rY+sYOBlR4HJXjxZFkwZRLbnQjA5D6j/mIz6mFDLdkkPezljqMNgTISk\n",
       "DF1nXACshKFmXkqX8PmGMd6e37T0w4+XZeVknB2MRFiryQSN6thRvTc4ymANykqMH966Y5o15l8o\n",
       "qsocAhh75+51l2FDyTRsKpmCgNHBMGqyLta228Wmcs1QVaT8jQmufuOnroyiCACMNGU2QcF18ABg\n",
       "sg95psGwI9hWMM1hK5DZbovkOKvVsMoXnI7uoPvjDqeR4NpNu5b8uGbxKI4QjxDSHx1rzjmgg85X\n",
       "zTp/S8lO0XSvPObcgvZga3BP287XLnXkH7WgDybjnE9Lcu26znhZTo1a3BHFWRjrdWPbesbF/S1c\n",
       "rKteiHrqSNzXlEwE23ypqC9OKVUOu0GarwfH2djc8133EIDTALQAWE8IeZNSWnWQcX8F8D76dd86\n",
       "CK8CmEgIKQPwKIA3ADwL4MyBnCctKNOc1PSv/Sg78iXeYDc5y0/lJHsORLP7gOxrNREhcX+zEGnf\n",
       "zZmC7ZIY9cluNcU7CKE2QqiVFVRT2vo4pKG6hhPlqu0P2+Z/vaOxadafm1rsmZku1Ho8SXuzj8uI\n",
       "+N4ZHw9ZWNA+EdngKsaGkqnYWDINPpMzyWvJ9cZEZMXohk0rSjtq2j71NY9vJNzPGV7kuHhwy8XO\n",
       "/CdP+Avoh1UwhDuVYALozjdPUR0JTTshImZ9vH2sY8Lwxb+85DJHY31d6u3nnm2ebHRVn4i9Bssu\n",
       "wvzaOvmyIkJYiO5ye0SJnb0n3P6/0iOUPkrqKvEpMbGT6qQDQNhgjQecwwKSNTtpcBWlJHxhpo50\n",
       "1grxrkY+6tkDJeyJx7wNHVoymqCUpg6zRZqvIScgKWcKgFpKaT0AEEKeB3AugKr9xv0c3Yk2k4+w\n",
       "nk4pVQkhFwB4kFL6ICFk80APkxaUaU4qeloX8vvEPvbUftzf+piM+hgl1MkHGjYZTcF2SYoFJFtK\n",
       "EUoJ0Xtd10ZeUgXRlP5gHwQd8ZChPtqVVWR0tmfKlgHFkVJdw3Jf/dgkQ5zDRNuGAqPjiDX2ElqK\n",
       "3cT5by+uKBgRiyfUrsaOZ6ewma8N/hUcnFgy8u3rs3LsYjAE/946nJeICqZUoq/1YZOjABtLpmJj\n",
       "yVR4zW6PlEqssMb8K+bs+HCtLRbYp8TLPEfeZnS3NQNMA24BftwYbsn0LG3rePv9zs7zckTJtMLn\n",
       "a3JIzsWDWfMdb8OCANXHOxhm3RnOwqW9zysO4x9+8MvfOAghyM7N51saG+ZvfeuTnDH2vNbeMaqu\n",
       "klVM4Oac0pIxiVhMCzW1PjuTc78+mPMcC4STuG7jTTeM0SEEfHVmAAcIymAyznk1he/UKenk+FTE\n",
       "nhvUnAWJ3mxsR884vSepJuatZyOdtUiGPdGoZ48X3a5s9ct5ZWmGJMdfUOYCaOr3uBndXW36IITk\n",
       "oltkzkO3oDxcOEWSEHI5gO8AOKefwWZApAVlmiFLb+FwALzBWWTgDTaDa/hcVrJmkf1jHxOhDjYZ\n",
       "9vCxpq0GxPyiFAtILjXJ23viHo0sp5k4UU0nzhxf1npqZshE+d14o8m+M9Loq49Kd091la093Byq\n",
       "a/gIvjunXXX1XLs7U1r+xkt14ab2n480Z7Uebt5G4v3xDb+5/rSSwkIeAJ545rmfbH5v7frxjrzm\n",
       "4/maOC3FjGjeNiE75h+eEeyEoCpw9VxrsedhY8lUbCieAo/BWmvStI/cwfbl06uX72aGeNjbnOwx\n",
       "D270Nb6xLRK1V1oKa7Nka/RY13rO2/BLWjLzQiGj1Ojr2H3WCw1rn73UWfgoAIgC7+7XUhxWq5Vr\n",
       "iQeL+gvKVXrX9679f789o6R8mAAALz7z1E83vrtk0/7lh040UiK0NtG+c6SUNcKgJ6NINm9pGmnN\n",
       "bgG+iIXs1FW2DYT2WiFlR4Ei23NVY791epNqYt56NtZVr8cDbaGEvzmKdFJNmhPLQD507gfwe0op\n",
       "7RGIh3N5XwvgRwDupJTWEUKK0d16cUCkBWWaIcH+rmtOshgdZTMFyZpFRYu7L/Oa4XiaCLTxyWgX\n",
       "l2rdaRBrVshiPCQ5qc5Y0e22NjO8ZuQFVRAMaWvAiUaP//yaosICAJhmt5kfbmj4BYDLDzfls66G\n",
       "igmXXnLq2BmzJQC47Be/K/7Xn2/81Ugdvz3cPNloLOkVkwAwffIE1+r3V5Sj+658UHBaiqls2T7O\n",
       "oES/ZUhG54tq0pjTc63dmoWNJdOwvmQq2q3ZgKYhVr3cP6pl6y/7i6STgR7BNijRRnUNitE1y5wz\n",
       "wggAUt4Yc6Sz5jR0x1whHvB5Pnn7Ndu8s86Dp6Mdm1cuVbNkS38rCniToaJXTALAxGkzXFs+WjJi\n",
       "sGc7GjZEm6ZV5EjTtNBnXXV7P22Jq8yumZx0X4cSFTpBSTvDqUFrVlh3FcX3t0IC3R6QSEeNGPPW\n",
       "MXFfs5oItQeUYHsMgJJOqklzUI7y3mLp2k1YtnbT4Ya0AMjv9zgfB34eTgTwfM9NngvAGYSQFKX0\n",
       "zQOOR+kOANcDACHEAcB8qCSfg5EWlGm+EnqKhvOiNUsSjA6DvXiy2N91LZhcSaprSirm5/SwlxOa\n",
       "t5mF2ApJVpN8DgA7uhNmjJygGiRzIh3z+NVg5jkJAFbFY4g5zLCX5Bet6Wq6eJqU/9Kh5ii6Kptt\n",
       "9r58X44TwfEijyNE9MUjserdtXtnDisrEQBg5ep1nQ4Iu4/17IyukmGtVeN5LXWZPeqbKaficu+1\n",
       "TksmNpRMw9b8Ma3Nul5P23fVdm1+Y5pUOKlAi3ijXPuuN8c48oesmPQmwtKGcMdUhkKZ5Sxcf/wL\n",
       "ih+gl75oLxnT/7Jz9dLFnbXbHXoqqUY8nUtOsebvIyhTkVjN3trqWSVlFQIAbFq3tsuSws7je8ZD\n",
       "szXUUlg2Kufmn124KCupanhlxdrga8u3PrndmBMK2nPDgqtIMbiKUvvXUOlLqumsRdzfmkoE27rS\n",
       "STVpBox+dP8N50weizmTx/Y9vv3BA0KvNwAoJ4QUAWgFcCmAb/cfQCkt6f2dEPIvAG8dTEz2XF8G\n",
       "4Bx0a8ONADw9NSp/NZDzpgVlmhNOT9yjwBsdgmh2GzjRKLlHnc5K1izKG+w6wwmUEEL1sJeIMb9o\n",
       "6GqQhWSct1FKrIRQU4/VUeZ4TRIM6WzrIUR7QmlcH4kUFs+fioWzpgCA9Px7S3+88tPPqyeb8z8/\n",
       "2Jyx9rxdq955rbaworJSNpqx4t1X/Www/A4k48GG9zGVuB677/5HsgpLCkZHI1E10Or9zxR7XmtC\n",
       "S7F7Il5XrsHmt/FyMpRK8PURb0ae0dHlEAz7fNEzukpyfM0z5VTissxg60STEu0Tth6zG5uKJ6s7\n",
       "c0dt9VizPsj1Na0c17ilbVzPdZ9oFHfs+qTYLhgCoxz57c0xv6lFCN7isprc3lC0KzthvrXA6Ait\n",
       "U5rPFK3yIiWZUsxBLK40f7nFyZtjftNyNvWqe+EVLj2VpK+seXvH+ZLrGgMnHhdRSRgWcrRridK8\n",
       "7WLeXW5KduwKyXHfhzB095ecYMz7fEdT29XV7d55SKHlFFPBp/snUc1knE88dd/i3NzSkjGJeFwL\n",
       "NrU+N/NLcncntBTjRWzuNdPGZXUlUxBkCReec5r1lc/3TCaTr3jGtt/4dFJNmuMFPc6FzXsSaK4D\n",
       "8AG6ywY9SSmtIoT8qOf6o0e5pJVSGiKEfB/d5YJuIYRsG+hkMljL/JFqIBFCrgDwO3T77cMAfkIp\n",
       "3XqQdSil9HC+/TQnAb3ikeVlXnYWGjnRKAkmB8PJdpYVRIZhBJ3VkjAmIqKcCImymuTNACwATIRQ\n",
       "A8PqMitoRk5ItxkbBEsT7WfqVtNCLZGIF4S1xcMsmd4TsY83EZY+V1uf+9dfbihkuW4rsS8Yxg1/\n",
       "feKxU6TCfx5qXn3EZ62W1V9ygmAUosp7p0iZS45l/63B5iJqUe+ZUJLrrG71hKrbom90ShnniJll\n",
       "tqSnLpibCP11ri1nvSEZPycj1HlBQVd9pTkR7ruR7jK58HnB+Gh1TuXKTkvm25UtOzaYE+EBWZvW\n",
       "qg0P3fH9c2dYjQaE4wnc+MRr65BkX1t4+vQbzl8wy6akUrjp74/vsbfTa3IMti+tdeKL4fqnss/7\n",
       "5The7hZ4kdZaRD585q7zXGWHtBofC+95G2YHqD7BwTDrFzkLVw5mrVAqwb+r+P7EWF0leiwUL0kk\n",
       "755izdlzvM4aTiU4XyrBt1JKPLyYbFc8E/9w2fy/nz1jgkwIwZ7WDu1n/3juAWnaLxcfIqkmjHRS\n",
       "zUnLUNAXhBCqVi0f1Bpc5SycyNfRIx4Xoruc2E2U0nWEkK2U0jEDOt8gNx9IDaS9AGZRSoM94vMx\n",
       "ANMGs2+aoUGv27rX8khY3ugonc5zkoUROJ416Bpj1jVGSCUEU7KNWABqAmWMhNHltMXxhLE00XZm\n",
       "xcLTfzN5/pm2pKLghfvvKLH7Qt91S5bj/l67JHNCjIn//bxm768nVJZJALC5qjbKprDji/LeX/Bx\n",
       "V8P0IMHITMJ+ttCUdxs04GDjDkVd2GtrdXB/MFjM1ojXt0MyJMf+9dJFZT3lFe3nP7Hyh46Z35EI\n",
       "KIrNmfbxVZ88MLF6BWeNB/tiIrpMLmzLGR5qz88VKsosUn3VtqB3z5I3pliK1hzNa8/LtOVYcpMC\n",
       "KgAAIABJREFUjQYAgFmWkO92ZHWElEXnL5hlAwCR53HZ2QuK//HAf0flGGxHtfZg4AQ+i5UMXzyW\n",
       "zUjoWvEnkda5EVk6m6oppVLB3wd7k3GGq3AZgGWDPS8AvJ/w/T5z0XfPFO0ZDDQde97+510jUonL\n",
       "Tbykbg2253xO9RsIJ0uiEt5gI4kOlSfzJF7YNZXLevxgltfeFoedWpJro5T4JXMilFPpETJKFdme\n",
       "q7rUZMuT7/1zVm1L5zyTLLLvrN26LeKY+Kh/8xvGdFJNmhPGUbq8vwJuR7e1c1WPmCwFUDPQyYN1\n",
       "eR+xBhKl9LN+49cCyBvknmm+ZHoSZrotj5JZFgx2M8MJpozc0ZyJF0UTw3Ey1Rkry6kmwsCUjEFO\n",
       "9bM2ytbEkfZIc/zQreaFk+efaQMAQRQx/Yzziz975KHKeZLlsNHdx8pMKf+VR597e1R5af5kXdPo\n",
       "3rrWJdPNhSv2H/dyoPkX/Ni5F1pyyk0dNesve6t+6/+dY80bcNkfVVdJW6b4j9/f/pdRRqMJNbur\n",
       "xv33wXsjLAvoFGhIiBjpKBImrXsB4+s3wBYLAN1VAuAzOvS97vLaZmfBO0GGez3O7PnfDQty8wBg\n",
       "mG10zk3tq2760Fd/zwJb/vKB1rj0BiJRnepgCANKKbyBcCyhIhaNJ2CUu1Vya2dnXAB72JqGh4Pq\n",
       "GnaGOjI5htUGKgBNVK2Kb3w7yzDxHFCqIbThLU1imA5xwrSbRp56ll1LKlj/vwfKbNHQdwda5umE\n",
       "Y7IWifaMbtHPMjAVjnTVbl+TmSdbuzaz/AO2aVeWEpYDdrw4YfyU8UxmXgHZvmbprLV7asfP0XN/\n",
       "RBi2rzZkh66RNoahzVrS5MyQrpckkY3F9GetFbM+7d2O4QQkK6/83X82vJ2tBNtFqustyb1vBNNJ\n",
       "NWlOKENcUFJKXwLwUr/HewBcOND5gxWUR6yBtB/fA/DuIPdMcwLoEY0seoQjAMkiGg1G3mArseWY\n",
       "ZU7kjYIBZl6iFpZTrQyrmRieigynyRwfl1g+fRc/SKiuYYnqvVJwOmYk4zElyxe/e4Tl6OPvtIQS\n",
       "TyoKBLE7PNDv6YjLDBs+7gfugTAsZjAFt8X2KCxDGEznCw741Fzu2TWflQznyxaXiTfZ4By/wNHu\n",
       "abgQwIAFZU3Y6xo//7Rso7E7VSKnqFzQcyeIz62JwV69GyPqNuG3/SyRXpMLW2w5Ic6ccXdckN8n\n",
       "IJBSCcSUiCjmSRwA7Gz14Z+7InCfe31O3Nt+9ysr3l5yoez+40BEJQ3Su2584rXbRpbkWavqW4Ja\n",
       "QP+rm4qNNy5+rPSSM+eWdHYF4u9/umbJzIzSY0ociqkKuy5Qfd+UXOdIRU1qyzq3r55lr7z1SGcb\n",
       "S+1/2tq04/FEqL1YURRqjoReDNodY8pOPcsOAKwgomzO2SVbn39izALZ8qVZTg+HHgsFtUQCrNQt\n",
       "xBOdDeEc2eKrCnUUi5Xzc9WuWmj+Jpw6ZRw7/7xLAAAVo8fh2Qf+MmZ1VUOhYLR72hlODdqyQ7qr\n",
       "KK6EveJIm//f//jbXyokScL/PfbEpNc/fuYXTMG8Vfsl1dSkk2rSfFlQbWgLSkKIjG6dNgJAb5Ii\n",
       "pZReO5D5gxWUA76L6+kLeS2AmYPcM81R0CMUGXSLxb6fBQDPAoIIGDjAMJ6TZF6QDRIv8gbBoJsE\n",
       "I2PipZSJl5JmwRCXWC6SzqQ+sSxNeS+fcem3fzxq8gxDMpXAfxf/JbfTE7r6aF3VBWF18Yv331ky\n",
       "7Yzziv2ejvi2JR99sshVcli3xfpwe0ULo53H6rpntpTxXwsvHXXCwaGSPpZ5t//uzJLMb1U6LYZP\n",
       "6t/HutA48BXTAYY7bCzQ7lCHiwJkmMnlIQwLh2yJ1LZF9Hc3tiC8+jPkbF6B3zZsNFriX9RED8qW\n",
       "+EZLVmiVbA5Va1rdbMl0R55giPTfyCGalJWN1Xvag9HMF3d2ENf8H4IwBEZXlhQLdE7/fONnuePs\n",
       "eS2qrpKVqc5LKM8VmZL6R5OlrH0svONMeTuT8dSltevb7CUGZ0AydWdS+wKR7z7+8CvDJZaLTHcV\n",
       "H3Mc4Fp/7fd/MrF8eq7ZwAJAoc278J1dtUtOzRh2WDdzpmyJnaYbr6jt6HLYeTnmkgsTryc67tSS\n",
       "Clih+yYjHvApIsgJu8k4Wqbq/O2fvf2IXc4uzlKC3rgt6P+n25IT9yQivnbPdsz51rfAMPmwCyxU\n",
       "VUVSTSEJihAhZJvR7reNOK3F5C5L9mZle1Y9fNp1N/yxQpIkKIqCq799ScYHH314Vc3qp1ecqKQa\n",
       "zuSay5mzbiIsz6iRzmdSgZanjuf6ab4GHOeknBPAM+j2MJ8O4DYAV+LArjuHZLCCciA1kEAIGQPg\n",
       "cQCnU0oP6f4hhNza7+FSSunSQZ7vaw0hRMAXQpFxA6wJ4K0ALwAcB7CnAZwEUB7gBIDnwHC6aBQ0\n",
       "XhJZwcBIskk3SBZV5mXNwPERgRWG/L/4ryucwzp91OQZBgAQeAlTTzsz/7N/Plzmlix9WXbrA63F\n",
       "NRz7K8ILvByLLDvPnv/8/usMs2R67b7Qdz975KERMsOGjiQmV4Zbx0ZLyu6asPCSrHjAp3/46uPT\n",
       "ztbYnx5LqZmacKdzO6P+hDCEy0/i6WEGe1OBRZo1JcdlAIDz8gXU1G5FKxHCfMi7BLb8A9ZQdZWs\n",
       "5YN/mfatWZOSEMjHu7vaNFMBKQ92DpuxeTM79vV/waR8keMSEU2BnUZ7w1KTKbGHE6sWye7/m8yJ\n",
       "2uF6jI3i8n9954tLf9lldC6qZEhf6xpOlNmUpvJU17CCDdz9nZ//enZRSZnwwVuvL1z94SeLZwju\n",
       "fTwsAsvr5WZ3V//nHKJJmZNZftAM96OBMDQ322ToM0cWmo2SRtqKMIC4RcKwKDe7fb2PK5O4b8P/\n",
       "/lFWOues0njApzSv/mjZea7iHYM94/Gi2OwKFAPXtLe1Gh2CIS5YcnQAyJYtgVhRTqp09DgpFovi\n",
       "g+efRPaYcTA4XNi+ZjnafP4deXN+ts+/b11VEFOUaF19vVKcnyPKIg+Wo0Aq0Rlu3ekHkDreYpLh\n",
       "pVJDycynLeMvySeEIFqzbDRvyepMhdrfPp77pBkYhJA5AOZ8xcc4GSmjlF5ECDmXUvo0IeRZAANO\n",
       "uBusoDxiDSRCSAG6G45fSSmtPdxilNJbB3mebwyEEOZUIH8yQEwAjACk7ggNkgBYHUBUMPAhwSAn\n",
       "eElgRBPhRBNEUdYlVlQllo9wLJeOExpCKLFYVEkkIPa4/TqbG2JW3tB3A1Yf8VlrTNbF7tlXFRGG\n",
       "RXjvhhFv7VgRP8eW98b+a7klS3yeZNk4kH29BvG7U86+KosQAj4zhyk+9czRa956bsSczIoBl4sA\n",
       "gMaoz1JlM/5z2uXXlRKOw5ZXn5ykNTT+KtO4b2cGGmgP8F1L7vqWLf+j/deIsBz/mdX+47FzLz9t\n",
       "d4xl5S3rcHHddsfYhv9ATn1hqO0SjCGd498IG51v32O2nJ592oWXucpGy6W+jknvvPpoycVczi/3\n",
       "WTeV4DyJiKnIaA8QhoWNl5On8BX3fBBu2db02Qe/yZu2yJ4IdVHP5uW7ZthzG2ujXY4Ji04ZP3zE\n",
       "KAEAzr34MvuubVsvQNeXF7IjQfrww7qWmaeX5NopBd6ra2u3c5alx7LWMEum1xYNXbP1+SfGiCDh\n",
       "81zFO76MfuhHS2/3Ho3q8CdjQl0iLMcIiUV5wcxlOzDn+7/G/ffcHhI53uP3+dZaJ/3wt8C+nWqi\n",
       "nr1a3Nf04ZNPPva+zcAvzHS7xbsX37dtj1/JKF54RZWWiGm2ospnA/VVfzxe52YNjm8Zy+fl93YI\n",
       "MpTNcsbqVl8KIC0ovwJ6jFFLex8TQm75yg7TnyEeQwkg2fMzSAgZDaAdQMZAJw9KUA6wBtLN6K5D\n",
       "/UjPf7YUpXTKYPZN0w0P8OVA0scKQodgkKKCLGqCgeNFI2VEIxE5UbNxgipzYjqT+iSgMKT+7d/3\n",
       "3FI4dsbs/FDQF6/bsP7N+f3aCu6KdY0xT7i0qFcImEsmmTt3r50N4ABBuT8JLcW+0dX0vSTDFjoI\n",
       "lp7lLOwTc5RSgFKg58uQUh0E5KhvNrbp0TNGnXVNKSd2h96MO/97OWseue3yWDC+bkdXYNEwm0Va\n",
       "0dIZjCf0p87I+EJM1rlLs+ps2bPjLP0BL1jtI5q2kZH/eRCjmj6HqH4R2tZhdSI+7wxETl2It1Z+\n",
       "oitbdyyZZsyuIWLqZlfZaBkAjI5M1lxQUeFtapNckjkBAOuTLWdm5Dl/WJRbKm/aXtNh8eFXvVbF\n",
       "Rebc9z7duja0bcf6Mxg11Vmis2+8pPsfIQbZNl9R9q1rTXV0f8x9OUxzlq1c1bzrH9s8wbM0Xae6\n",
       "KvxrqqOo4VjXy5QtsaESM3kw9k+qCZkzIvGiSR6ted3KMZ3tZ+eXV4q7N6/xR+La38WJVz8lhzrY\n",
       "QONm+VCdaggh51/z4+umy5Jk0YzO2eN/eMdvTFlFHAA0rXrrZ4LR8lYyGjou74eeiteoodY4Z86Q\n",
       "AUCLenWqpY757yrN1xM69AXl4z0dcm4C8CYAE4A/DXTyoAubU0rfA/Defs892u/37wP4/mD3SXMA\n",
       "xGdyZW93FSu8IFGJFVU7JyQJwyaPPDXNUGQX0RZprNm8dmedEq7b2TqXGJ/sC4sGYCFsR7u/LYzM\n",
       "UjMAaIkIoCrBI61LdQ0v+FruFceeN1MyZXD+ls9nvtK4IfNCV9F/ASArqjy+9fV/V1QsvCg7EezS\n",
       "Gla+t+UcV9HOtd7aKSqNX05BqcyaH53oKN51uH2IpiVSyYSO7hAM6CkF0Kky2zHi7pd3VW/TaHOl\n",
       "xEjLxxZMX782d+TMoNE+PcFL0+VkvHhMwyaMr9+AyuZt4PUvSv0xI0Zimaqp4lkXcs3OPBRWjgYA\n",
       "LCwotv2v7sYroGOLnkrsE6aRjEfRYIk/GLGLcnNLR2NRUdaoP/7oijwAuPSMuRm/vfuRP0FHnwVz\n",
       "njl3FYBVVNfwrOL7X+5ZP61kGA5bP38Lmzau00vLy5kP33zTm2jzvAAx60hvdx+bI+1lfpHOZRWt\n",
       "YZYh+8NjsQjOdA5/AwO4YThZWBdoLm3W1ZlmHdULXEVrkrpKOpWY0EE1poNhdV9PUo0pszwhcCIE\n",
       "AHp25fUv/fPBDRyDkUmVfMTZy1c3rPyXMRFsT8Y8e71aKh6nlB7wudeTqb0aAOylY77bKyYBwFYy\n",
       "ysqbrGMBHB9BGQ+8E97x7oupYNvpDC9xsYa1m9Rgy+3HY+00XyOGeAwlpfTxnl+XASg+2vnpTjkn\n",
       "MYQTSbY1K219/BqwI9iWyZZXfqdkzgVuAFAmz7eveOHB314Ey229Y2ZklFS/ULvubV8ispAzOoRo\n",
       "zZr6OYJp8ZHWbogFrSSjdARndnMAIOWNs0Q6qucB+C8ATLfm7tzc1PTTbU/97RxW1zxnGDJf3h5s\n",
       "GZ5jordfWlTu1gH8u6a+fHug5UejbLkt/dfepHSOY3Kcv7ba7LK53ty0/c1nto08+8rRnCAyO959\n",
       "tmasLv6Tshyc4y7Z2mnNNvpE4+VLWP5vtqhPmFK7GuPqN6C8bRfYnlJ/lBCQcROwJzsn9UZLe53m\n",
       "zgy3NTXViauWnT96wfndioxS6JoGqmkqCGAJhp+q/uDZGzLHzswK1O8OCOE2/v47/t9ElmOxcfvu\n",
       "ypo99X1mTlkUYLWazThIJHdbImwSs4ocDNP9sSiMORv//OdD7Rms/qE5oX08w5g94NaAq+Ntp+bP\n",
       "nHTjpedckNlSX5d4+79PnzoXzgHf6X8dec/ffFoop+K3prLJGYGOPbEnqla+m2l03utzFAQZV2HC\n",
       "mFGsmDhxnzm6qiDmaxKoofCVoLfuZSXUEY9sWxpCd33IAcdBqvHIR53bVp3pHj3TDABt6z9qVQLe\n",
       "YyqmfzB6xOt3CSG5AEQA9en6lWm+aaQFZZo0Q4DORCjLlFfWlxwiGiwgssG1/7hLrfl/29Fc/Z+o\n",
       "qhhGWbMbB9JOT2JZlaqpfcbt3/BjvDmzYXx3kwIAQCAZvODHlRVuQghYAOcX5uQ8XNV4BpD7RO8Y\n",
       "byIsyeV5N//h5luLCACv11P8lxtvervuhcde1k1Oh3XY/NBuS9avtnLiNMowGZmBVkyrWYFx9RtQ\n",
       "7Nn7xVkArUU2dtmv/l6G/dzzCXE48fYdt7c6EsZrMz1MLGG333vv3+9hb/3rfajbth4ZNht83k6V\n",
       "TyX3QgDmm3OWba2pqW6p3jEOSjx44SUL/8xyLDRVQ3lhPvnfG+/TCxecCo5j0dDaoXd5A3vA7t+l\n",
       "GXBLpmjS1xallIIQAqqrUFNa0xwh8x84fFfIA2AynVdeePUPMgkhsDtdUn3t7mm7P1zpOlEdi4Y6\n",
       "UTXJekTpStuoeRkJlgUdMcsQj3TN8NmKvNa8MXEA6KpdZREtmYpkyUrGuurFWFcDG/XUUSXYHo51\n",
       "1XvQLSKPyWcYbt37pLVgWH7r+o/P0pMJLdrR+DdViVcf1xcJgFLacuRRab6pnAQu70GRFpRp0gwB\n",
       "ykzuveu3f9bqKB1VSAiDUMsehY1FtsNkPWDsSGv2gGtTrqGeq9zD887NaGiTfS2fp3hbHp9o2tSR\n",
       "lUr8+7ATCePxK0nqliUCAF4lqRIwnv5D6qK+zFmTTncQAClNhycpk9SwhZNVY1GZxnKVAUpR6N2L\n",
       "cfUbMaFunZYZbO/z+VIgkWKF1WHJvGRvZvnyOsmc2LZ+059zOj2lwUAwrrf67q+QM2IAkFRS4UQi\n",
       "gTHDS1E2djIKi0sAgHvhmacv2fjWxx9MdBQ0jrHnto0B2nxKRNy9tyH82rL19nc+bwREI1o98eQv\n",
       "7vy/7U67Rer0+PeO1l33HCwUkmM4mhWJ/K3lg0d/w9uyjElPU9d4HbcO9L3uD8uypDdBAwA4XmBU\n",
       "qg+9LJgTSG+7w0ZQ4hMMSa9o1CSbGwzLd9cvEwxEU2JcpLNWxPInnxrLCsODakLdk4y/4pGMd8R9\n",
       "TVF0x0MeF0tfsHH3rcDR/32Snr59x+MMab7hpAVlmjRpBsMn4ZY5YYv1CsIwRAz63zzdlPvm/mPy\n",
       "jfZwk7f1pqrn7/8VLxl43e/Z9i1D5mP9x1Bdw2dq22UQ2BGMon82Tcx9b/91+rM22DRqzqVnXXPx\n",
       "RRfZAODZF19Wnnv+5U9HEunBSc6CwyYMTHCU/eux3dWTFuW6R6qU4uNWz4ZTXCPe6r2uEwJ2+Bzj\n",
       "p7vD2k5mL3a1RaGoOlhjUVZFW1XWuPr12oS69Zo5ERZ6prAUJKxwwrKQbF1SnV35WUS29HVQsgCY\n",
       "qUq/x54IABYQv0gszAmR+2/6060VzqysYfPPu7SvGOqESVOcG975oAJAY+9zDtGkbN2195ltiuWG\n",
       "vLmXdrv4K0+x1r/0fy1TdMPtpYyhJ8Kz+/3cP65xniVnLdW1iz3eDtktu445nCTR7nnzw9dfLj3t\n",
       "7PPsLY0N6uaVy7fPNbuPukj9yUY4leA61Z6e2YJRCfdrd6gvfeStUO36EmvFdKvia1ajzTu3iAUT\n",
       "tcSnD9/8U9k2O5+wROREvKtpVz7ha3qcUvqVljUihDhGicaXzjI5C6cZrNGmVOIXLSll6Vd5pjQn\n",
       "OUM4hpIQYkN3/cncnqeaAXxAKQ0MdI20oEyT5gSyNtRWoQ8f/fvxp13kBoD61R8UL938Wcccc87a\n",
       "/cfOsOTsoLr2fZJiAVPuAWt9Rjpv+dl11ywaPWKYtHTV2rnPP/9G0Qw255FD7Z2U2LHTpk+39T6+\n",
       "/JKLxBWfLElO0pwHiEmqa3gx0HK9anZNoaqiuxKRf81xjfjxRy31lQwh6qyMkbvbXcX2enfp1Ihk\n",
       "mab0uLEBILCnEyObt2LCntXamKZtuqAleXSnQ7M6IZ0KJy0NGO1LqnJGbkzykrr/3gdjTbLlQnum\n",
       "/fRkKqUr8cRTZX75mrWenb+urtp5bkXlCAEA1q5e1emg/AFFd2ksVSvnDe+zKAkmG4hs6FOom+It\n",
       "UyWX4VdOu1mub25pLoybftdbrgboruF4tMXkqa7h43j7BQrLjDRpdOUcY87baz/42LNhyaenE1Vt\n",
       "mMG6niHs19NAGUzGOa+m8E16d89sf94YjyGjJCFZMrX+9vWyOT95tHbJwx1dW95foCnRvURV/9G4\n",
       "6ml/JYWt0uTuM+dWCganlWGHAfhKBeVI0fjEnzIK55lZDpRS3O1tfIQQMvZgCUBp0pzMEEK+A+AW\n",
       "AB/hi1ri8wDcRQi5jVL69EDWSQvKNGlOIO2MNnf41Pnu3scFU0+zb9qyehG6+9r30RoLmLa0195j\n",
       "J2xulGpxg8Fy34ysir4xCS3Flg0vnjRm5DAJAOaeMtW4fNW6WWjFIQWlpOibV69a7b/0kovtALBx\n",
       "0+YETaQ+B3/g2NcDzZfyY06/1JI1XAYA35a3frcj7KuXZ3zHFDTap73Hy7dqLFfRO94W6cKEunXR\n",
       "KbWrYwVd9Q6GUhY9IlIjzJ6EIC/xmt1Ld+WM2EmPssPSeqV17ulnz/nZ+Qvn2CiluP+pZ/Ob1u35\n",
       "0XxTzt1PPfAAl1tSNCYei6vR5rZnptnzDohZKzVl1K2vWtfuKBudTwhBpLU+SeLRXTDZ4FMiojXX\n",
       "esOtP7miiBCCQDiaf+P9/7opC9Y/HNUh9+M9zXvLlCuuWZRTVintXrti/gcfv1O4SMr+N4C1EI40\n",
       "++QjmIxznWpCaKGA12CJh3NH+GVnoSJZMjVHv3G6qiDSUSP1xkOmwp7Xop49/0F3PKQKAMW8vGyL\n",
       "ElkwTjQZKaX4NB5oCOraATdch0OSpNzykuJrE4rir91b9/ixtFIkhDDoNpYHKaXUxfLZZpbrvYbh\n",
       "osGxIhZ04yDNO9KkGQhDuPXiTQAm7m+NJITYAawDkBaUadJ81YiaXhfpaE5IZrsEAJHOJlXQ9br9\n",
       "x33eUXvT2bxjmkwIKAXei/lu8CVj33YIBgUAOEJ0JZnaJ44rpak6DqYOe5hsydu54oNPn6iq2nW+\n",
       "IIhM49696wpT4jufpWrutholZyCSaB4h5N1l4+VknOEn2rKGyzoIdBAYRp+Z2cSJL/b5hClFvqcu\n",
       "OaN6ece4+g2iPeZ3o7uevpECuspwW2KC4dM2e+6yOndZ02Des5RI5p+3YLYN6P4iv/CM+Vm3bd51\n",
       "Csdwz82G68/Y29Mlh3MfdH6B0RGq72y9ufqFB37JSQZe83fu+JbsfgQAGqKBjFnDJ9h64xttZiPs\n",
       "NrMbRyy+dGhiqsI6issm5w8fIwHAiJnzLA3bNi1AAP8+9lWHHn4lxndqSa4FQMBgjQdzR/iN7rKE\n",
       "YHTo9n7jklEfE/XsFWLeejbua9ISoY5wwt8cRbeIPMDnV68mHvhXqN2dz4nzYlTXmlXl1qNJbnHY\n",
       "beXnn33Gu3fefGNZl8+n//L3f7qYEHLa0WSBi47c2eby6Q/LGcXWWNtuD2e0X1qhJZuCmjrNynLQ\n",
       "KcWORNQrG03m0VNmvCHKBsHb1vJ8fXXVgL5o06QBcDLGUB5V7HBaUKb5SgmlEvyx9I0+WVhkzv3w\n",
       "tU9enRlorJlGOJ7xVW3c9i1j1v/2HydTJkPuETmEADmsYGuM+lwOwdACANsCLeWRnUnj2+99TCdN\n",
       "GEc+XLoy4mv2vgo++7D7TyUZz6Ep9RyQQj7c+IypefS2i+ZONssi2v3hCXd+Uu2glWcvl1KJsiRY\n",
       "oDemkOHApRRmTOPmxhnVy2Pl7bvcopp0oKfVam9STUQyLavPKFnRac0+YpyNNxGWPErUXG52eTnm\n",
       "0F2a9KTW0tTWoRXkZLEAUFPXGGdStL5/Tc4jMcua8zmAa5DCPuEDhSaHZ+OOmsB5c6fbCCHoCoTg\n",
       "94dawRyY/DRQGMJA17V9Xo+u67QvWPMkpr+I7DLYYtHMMV0GV7Gyv4iM+1u4WFe9EPXUkYS/WY37\n",
       "W/ypmD+OniLjh9uj5/qNx3rGirLS2x7/x+IyQRCQl5PN3HzDr2deds2PFgJ4ZyDzCSHEXDbtoYJz\n",
       "bxxBCAHV1Nz6V259oqphy1l3eOoNebxU4tNSkRol9oeJC8587df3PDyM43l88PL/phSWDVMaancf\n",
       "0P40TZqDMnQF5Z0ANhJCPsQXFvh8AAsB/Hmgi6QFZZqvhNW+looqTb2NyHYLDbQHxvLCjZNsOV+7\n",
       "zhKEYXGBnH1LXdUuW5Jq3FxTpvdgBa7jhLZHqQ4jYUAp0Kwl/eNNzr6s6mgq+LtfFBbZ93y8HG98\n",
       "tBQb2z3hyY7hrx3NWRJais3Lycnfrmdhe5cFO+IW4ps891QAp/ZKH1OgTRtVvUKdXr8+WB5stzCg\n",
       "Bb3zdRCvwovLQrJt2e6cynUx0TTgWLKlzdsutenalRkMLy3ztbSVuAqvLza7DipCxxHX43++/7GR\n",
       "c6ZPGh6KxbS1m7aF8suyfrQp2HU135W8e7Qpu/5oXnd/HIJBaWhtue2G+578rcNqkZpaPU1lSdud\n",
       "kI51RUBieS3YULe0esOq83IrRhh3r1nu1zo73oB0eLE/VPErMb5dU/gWCviN9mh/EWnrNy7SWSvE\n",
       "uxr5qGcPEqGORLyrsVNLxhJfdowhwzAM2y8+VRQEhmXZQ5vuD4QXbFmWXqs1YTnwZpeVUhomhJy7\n",
       "Q4kRSqlqdTjPO/e7Px7G8d1LL7roCseyt165GEBaUKY5qenp2/0WgEUAcnqeXgrgD5TSg1TtPThp\n",
       "QZnmK6FKU2/mh58xjBAGlGrZW3e9d+sk4JrDzaG6hlXBmu/JIjM2nlR9JULOvTkGW+TLOvPB2BXu\n",
       "zNhjYH7DipLMhsNLF8jZrwKAqqtkJfzXWTLdY6OhsGILq38dbclqPNQ6E7PL73i3tdpgJUx+DDRu\n",
       "MlrvtfFy3xezmWMllhBUGGRUAPCIIcaXjMn9k0kOht9ol6uzR0wIGmxTFV6aorFc1sZ+lRBJKq6V\n",
       "NW3bXVn1UfkYbz2Xl4z3xkK6AUBl2N0JXl7eZXIt351TuVM/jGXxUNSFvTY3pVefa8zIAoBpoub8\n",
       "d1fjjcVm1+8ONt7ES+p0zX3dlvc2uLsM2vdv/MW151UU5XOqruEPdz30N58ndmVvKMBWPBQqAAAg\n",
       "AElEQVSxMN6Y+zliuBIxIIfkYjBispcz+MzFS157acN2nh1pTemrF5hztwx+1S+PgYjI/eMhk2FP\n",
       "NOrZ40W/eMivgvrGpruuv+GP0+/98y0FvkAAt91974Yun++Dgc6nlCZNheNa9ZRSwPAi1FgQSX9r\n",
       "g5hRttg0fMF5hGGJ6C77JBXwP97WUBcZPnaiCQDCAT+8Ho/Vnl/6m3Bn62otmfAD2HMkQU0IyS7M\n",
       "zTqtKxCqD0eiKwb58tOcRNAhnOVNKfUBeG4wa6QFZZovHaprgGi2kJ5kDUJYgDdZjjRvZbD651dM\n",
       "Kv/2qEyHFE4kcdfSTQVu3fS9w7lPTyTeRFiqcxofWviD35ZzgoCadcvHfPTxO1ggZ7+6ivp/dNFP\n",
       "fnp5aeUoUU+peOjuWxf72iJXOkTTQYWQW7LEzyyZ9KtD7dWVVGva4olh2bLERtX/z959R8dRnX8D\n",
       "/95p23fVV71YliX33sE2NUBCIEAS2g9C7y15KYFACBAgISQEkhBqCC0koTdjCGBjbIx7V+91tdL2\n",
       "3elz3z9WMrIsNyxjW57POTrHs3tn5kperZ695Xl01McTnYtydg0mRcHGbc+bOCnoTJ8lCbZZGsNN\n",
       "ACHf/J4bhpoWbtAX+NYzudVr1XJ/l2ahxrj+p3UQNHCCnMLbHvOlFy5tSy864FQ3PjmaMZ4TXAal\n",
       "WGGn4LLT4I6wszbFO8ZMduQOmVyaMCzGeXK6q1MTRWOKCzgA4BgWi+ZOz3r/lSW5s9KLd1mHeqgd\n",
       "58pfBmDZcASo34V9CSL3dz3kodDR2bUpIz391LUbNl2vqlpoW2XVQ5TSve7SJ4SUMkC+AWwlrHB2\n",
       "85u/+QfvTE9Xwr4WOdj177S5P3vGMWquCwDEjm0XBFY8u/r9V577TzwaOTPdm2178cknEmPPuW5e\n",
       "St6oEyo//rdOWUEMNGyrIYScSintHuqeuVkZUy8+67TXb7z4p6OqG5rjsyaPf231pm1maeKjxeE7\n",
       "5T0szIDS9J0jDAsihXqooeYThgfVZRAl0g3sUhhmJ2kOfuoEb5oVAFxWATPzswrq2nozKtxe/x5P\n",
       "PEi2hDvKx55+eTEnJLfxls1a4G78etlCaHjTnpE2uXTsBAsAMDyHOQuOz/nymeeL5mc6v1V1jjmZ\n",
       "FQ+81FItOjmmNKbroVJ34W8BQGV5pjJvQnmPK3OmaLHPUllhGgj5JqSh1OB0dcuYju1VJ2z5iI7u\n",
       "qi4WdGUqSe7mEQBA4XionjTInjRITg+ebG1FhzV1LqvrE2ZFfH8+0OouY1yZrZs6a7okl6307Jsv\n",
       "xpjSIui64b7rD39/sKcjemGG1SXt7txwJBqNiyIctuQCysr6pmi21d17IP05mu1LELnTeshQhyoG\n",
       "Wvd5PeSh0tPbux3AtfvavsLp/OUV+YU3VzgcGUt6/PWbopELupo3fa//eSG9+AFrzjhX/7E1u9xG\n",
       "OGF29eb1lxFCfg9g1LRzb3ihYOqxNgCYecEt7Jp/PeGcfe1D01Y+dssTAH461H3HlZU8+MyDd45i\n",
       "WRZTxo1xtHV1n04IKaaUNn3b7910BDEDSpNp+M23OW9bWfXR/VRwpBAl1rvI7r5rb+fEFV01KAXT\n",
       "t9bJFxPlVN4TXxZsmAOO84xiXCsLHKnR4exnQElYttmku1KzvPmhQG84p0e+r9SVGQQAJ2cNRf2+\n",
       "BAAPAKiyDE2WRLAuxCPRiJiIw2ZP1uxraayLZlicgW/bDztn0Y/LmfR7gxBU5U0obXBnn7bVYp+p\n",
       "csIMShjXwLasrtV7EsF1J25ZHJ5RvyrdIcdmstT4cf/zFKAaw20WBdvyDwR71JORcevklFQWADbF\n",
       "YujIKOetFScugK5jxZZ3Kuzx4KUH8nNNszhlpyvj1rZU6z/GlBZ5AIBlGSyaOz37zX9+WJBhddXu\n",
       "7tz0EPPb2x58PGvW1AnZLe1dUkdjxz9nOXIj37YvR6O9BZGGJiPWXSckepq4RE8jkaN+MdHT7NOV\n",
       "+H7Vyz5SEEIcZ3mzr7owNy8LAKa5PWW31VQ+AmBRfxtDji2JN3x1lXv8KRkAEG9YFTJU8UMAoJRW\n",
       "E0IU3mJjBlwThGHA2xzg7UOUt+pjs1r5ges9M9NSLQDsw/09mg5Ph/OUNyFkKoBSANsopbvk990X\n",
       "ZkBpOiTKXVk95S5ckzwaOv3LYLxme/TRLzY+fFxpXl5tTzjcGoi/bqTbHzj/uhvnpmekW1594Z8N\n",
       "sXrfdWNd3mGrSLLVLv/mprvvPSkj00ukRAIP/+qXj5ZKuBQAZqYXNX+wevliSo1T3JnZ9u1LlzTR\n",
       "1pb2JbTlIZ1hKv/ywD25U+cek+trb5U6K2teO3aIkb6QKgofxnpuN6yuAiLFek6wun47cF2kQQhq\n",
       "sysKu1JzZyYszhkKK8ykDDMw1R8YQ28TVGnN1Ka1DSdt/sCWGfVP5XT1TIJvMiAaIGGVE1bFLM7l\n",
       "zZmjVnZ7skMA4DF0/K9j87SAri9ysiz3n6ikW+f8hCeEABwHS+kxpeurlhxb4Ej98EB+jlPSC5u+\n",
       "1rq+jsUTJzsdyb+flbWN4WyLe4+jy6WuzKAmahdXf7I5NdPqis3ic82k0vugf3d2K6VkqCBSk2Ik\n",
       "3LrJmgi0MAl/A5Uj/liitymGA6iXfQRxZQmCpf+AIQQultspW6gW61kupBffK/uqLgVhiBpsfUMN\n",
       "dbw5oElzw4rF63MmzDnBnV3A1ix9G+7Ccvi2fR0Xg/7PdnfjpraO157777tTL/vxD9N8PQE8//p7\n",
       "WwEMe01xk2l/EELuAXAhgHUAHiGEPEQpfXovp+16ncNlBqOvXCrZe0sTABBC2KkpeQvPLpq2zzuw\n",
       "RoK2RNBZG+0uTRec3SFdzDrnlmueXLjoOCsAyLKMO268+aN5Wuq3TkEyWFWh/dUb7rirov/4xaf+\n",
       "2mlZU3fWwE0hawPNRTFV9sTjkfNOEtzH5bCC0KhJ0ko9/kauJ/vVDIsjmmtPia3ubSoJaUrWWGfm\n",
       "9v4Rv5eDrQ85515wMu9II7ocR+jLF76eX77o/va0gplxi3OGwllmUobZKeImhuEXNHl1brBt8+lr\n",
       "X9dL/PUVFk2Zx1Ajd2A7jWG3S7xtRdCRtqI6d9xWjeWH/HhMDR1rA63FCtUtDZSey0099wym7++r\n",
       "0tuoZtR/ceup3rIv9vRzSmgyu6x1669TwJSLMBSrzfWXgYnZAaAlHnD7PNqfZ0yuyGnz9cidTV0v\n",
       "zuJy39jH/wrTXoQVkevSZP6bFD+jo/1BJABIER+b6GkSEj2NjBho06RwZ0SO+BJIBpGHxx+C7wAh\n",
       "hExyuZbdP7r82BSex8ZIWPxrS/Ofq+Ox/UpuTwgRUvJL72I4fiIlTJ41JTOe6O38NNxS8+Cefp7j\n",
       "Rpf8ND3Vc3ZClLrXb6u+g1J6SDcWHg0Oh/iCEEIT7/z5gK5hP+MmHIzvgxCyHcAMSmmCEJKOZMnF\n",
       "Gft7HXOE0nREybenxvLtqZsA4PPe+hJPSuqOkQWLYAHH8wKGcb9pKNArGroOpm+aytfZKU7mLDtt\n",
       "rJmRVtSs6CqzSdw2PodNLqgs4azWrZo4c1Jq3qMA8Fqg5WZaOPUM1pPj+qxuRTCru/aBU7PKlhFX\n",
       "xijOkUYMwoBaPXAuvHrGFov9/YHXJ9QI8Zqy1iWG15668b3A5OZ1xVZFnMsZ2ikkuSMbwI5RyK9i\n",
       "FueKlozilb6U3CE/bCQ0mV3NRn/hSksdFQ2H/RUi+/DMjOImAMiN9vz58y3vjBVK5o+hmqjqTV99\n",
       "fUJG8ZdDXedTzXeVKy//OFADvqqW+Pd598RMlucopfhADN3VEg9cWOhI2zE9XehIixQo+iVNy2o8\n",
       "6RZnooDPHXHTqd+1/oo1rSB0cLLxFACJniY+0rbFGvc3EDnik+P+Br+uJORvU0lmpKCUUkLID+6o\n",
       "qfqTi2O9AVX9si6R+N23uI6CZLm6/bK9rvHfAP69v+eZRoDDdw2lTClNAACltJeQ/Sxv1scMKE1H\n",
       "rImOrPWvvfRSzeiysgqn3YEXX/hHDwnF3oDFOWz3sPrCDz58z50PTZw2Lb2+ujoit/ue8GkWR4bF\n",
       "kRi4u5wnjKEOerfQkNwFWxXxZRrZ5ae5xhzrAQBLZml6tGX179/NLNtis7qLNHbH7BsYi50l1Ijy\n",
       "mrLWriTWzK5Z3ryw8tNshxybzWvq1QzojlSAFNBVhtsg8bavAs70lbU5FVUDRyFDqihsijafSRg4\n",
       "cti0d8pcWQEAWM3F7r7s1ju+n1tQxEbCYTx+/91Z2QquAoASV0bIJoYvW1vzyWweNHFcRslqYYiR\n",
       "zWVix/Ezz/rx+ZPnLXIBwFdL3lPFN97mYCTXk5Wx1sxtsd7CQkfa1oHnEYZFiTPjAOrSmIYoe+jr\n",
       "DyJdUowkepssgfqvBqb26cUhTu1zuKGURgBcdqj7YTq6HMalF0f15aEc6phSSn+4LxcxA0rTESvD\n",
       "6pKibT3X3HnTLTdzAm/jI9JbMy3Z+1UDeG+mOLLrpR71vPo3l2QohmalfOxBPj3l9o3BLqknorwy\n",
       "zpX3SaEjLUIYFgmGfW+1Er2whLWmVOlSj84LrwGA35NTyHvHOA2WByUMQBgIZYt4A5jGAKCaQg05\n",
       "pmu9zbGc7rpXb2z4usGTCM8WNPk8lhoFA/tjEKZD5oSVUav7q8as0WuCzvQYkExhtDXccgwMyPNS\n",
       "C9dIhs5ulZr+fv0JkyfbLQJ5bsWW07eHu64Z58n2ZeTnj8ktKGIBwO3xoKRibH5gbZ2lfxo/2+aJ\n",
       "/8Dm2e06MACQOHb2uJlzd2wGmjR/Ab/0/XdR2JespcWQA7n29I5h/K84qkVVievWJL7VoGRwEGmL\n",
       "+Ni4v0HwV37GioFWXY52R8RAa/9U9uG7C8BkMh0wQsgpAB5DcrbqWUrp7wY9fwaA+wAYfV+3UkoH\n",
       "v7+fMej40QH/3uflMGZAOcLEVIlbGWiZDgDz0grXOXnriBmV6JYitg2hzskWwsQXZo7aQhgWsqEL\n",
       "RijxFVVp84yMUdUH475WltfHe3J8X0Uq//6r42aMrfL1ItwdxgTB9svacNvFK6Ldf5yfXbH0xMLJ\n",
       "z3/VXf9VrSN1LilfSGlG8dR3OcvlBsPm8/jmt5IaOnglCBpu91dIxq0nr37NbU8EF2Zp8ljB0K8m\n",
       "A2r2USCmssKahMW+yufOXtWUVdpKB81GtMaDLn8mnrr5usvL4wlRe/G1t9dI3aF3rzhu/KSSjBQC\n",
       "AP/vpBnFd7795TVA9r2xSEhO9ia5FCfU0yMXDJrG3xuLqm+q37Lx+xXTZtsBoG7ThlhNPNSSUOGJ\n",
       "U12BYH1uWt+IqOnb2SWIzB0btKUXyVa3V7cMmMqWwl2KFO4MqPGACEA5mtZDmkxHlGHe5U0IYQH8\n",
       "BcCJANoBrCGEvDtol/b/KKXv9LWfCOAtAKMHXodSunQ4+mMGlCNISBWFt8L+v1kqTp4EgLxeu3zz\n",
       "mZ6MawZWXDlS1Uf9qZ+L8SfZ/FmjqSoqTb5tyye47P/Kn1rywEXfOz63qr4xuuSjpW/MJTmPH6w+\n",
       "pNktLp5jsHx7M35gTQEhhJnmdOU/LWk3fjH2+JSExTlN4YTpBsPuXHOPGjFOkTbHWtaO55Wge5Ls\n",
       "Jwtcdrg2rEotDgeeYZI5IZNNAU1luI0Sb/066ExfVZtdsV3lhD3OkzRb4tc+evsdFR6nEwB4q1WY\n",
       "9fAjT7ZwLLsj8mQJAwbJBOdcV+hPf3no/nunz53vrd62JRhr6XiOcHvOATrYQqv3w//995Xx29as\n",
       "nE8NgwZbWj47M2/KE5KushbC6EOVlzTtXX8Q2UEp8QsOOZQ/yW/PHCUJ9hSd9dVaQ01rrXF/I1UT\n",
       "oUSsq6oXybVP5lpUk+lIMPxrKGcBqOvPY0oIeQ3J0cYdASWldGABDCeAXbKNEELOBJBPKf1L3/Fq\n",
       "AJl9T99GKf3vvnTGDChHkE+CnefZpvxoKufMJADA2NxTPtn09nk/zhz1z+G4vqSr7LpAy2iWMPrs\n",
       "tMK67zJoWBEP3cyXnzqGcDwAWDXCHAtbR8FtN1yZSwgwtny0q6Wt65S2NU3P59tTD8quSX9Mau8V\n",
       "5bGaIwvr08vR4slDizsXMYuzGMA9/e2SayDV9TYlsdYbal9/xtrXSWa0exqviJQQOt+q7Rg05gBA\n",
       "I2yNwltWR63u1Q1Zo9eHHamJ/ekX4Viny/5NKrs0j4ezW2yt/1y1tfL/nTBzrN3K42/LNnY4Dcfz\n",
       "ADDD7t3sa+i9cNnm5/LzbKm+ed9iTSNhWJzEeB+hLdFHkn1IbkS3svxhu0jocBXXFLZbFfk2ajB+\n",
       "wSFHc8b6LdnlEgCQQCvfW7PcerhWqTkaEEL4Ytb6Ui5jmZKguuIzlAc7dNms323ab3T4A8o8AK0D\n",
       "jtsAzB7cqC9gfAhADoCTh7jObQDOHXAsAJgBwAHgBQBmQHm00UBSWMG5I6UAI7iIBpKyp3P2VUgV\n",
       "ha0O+S+n33jlBEVW9I/eeXvtXNXz8++q7KFBWBthv3m5Et5utVmsAhmQQMHpsAsre5vOqQq0RaZk\n",
       "FH+YYXVJ1NCxUu28gLMJEzVJqZ7NZb+wP32WOYGtzh1f3uvKnJrgTxd+RRiVzrby2wc2UhKqQJgv\n",
       "7EpinTfYvuH0dW8yWVHfdKsizuB19SqS/FS4g5RTgOik6YhNnI7/rPhi6+SE9aJv/YMBYE/Q1574\n",
       "x6szbrz0Aq+iaXjqpf80FcO92EK59x748OvLADhS4HplSkp+c/85Xps74bW5Dzj/nTkS+e3ENYXt\n",
       "URJCCygJCHYl6B3Ta/GWSboqMmqwnQtt/tBqTmUfHgoYy8MXWrPP8bICCwBvSt2/I4R8QSk11wib\n",
       "Dqovtjdi+fY9Vpndp/cESunbAN4mhBwL4CUA5YOaCJTSlgHHX1JKewH0EkIc+9pfM6AcQcoF61ub\n",
       "qz4+yTHh9FwASFQt6ZjEW98ajmtvQvjS2+56YHpubi4BgOzcnLn/+P0fT1tgz/9gOK6/N16Gea+j\n",
       "Y9M0Pm9KGtU16B0b6wMe8r9lK1dfuHDeLEdDUyv94s0PrT+xpNxoAHivs+bMyTljrqwVojdee/X5\n",
       "Z04dX2GtrGtc+KcnXyyah5x7d3efmMUpVOeOmxBypE2VBNs0leUng5CdKlkQQ/czPQ2irbteJ921\n",
       "DZcGO1/NS4QmWlVxNq9r1xDQnSrX6IRpV1lhbdxiX/tkYcm5x9/x2/E2lwuttZWyLxzeAP7Aij9P\n",
       "teduW7e25o7rqu8/XzcMLSWMx0vcycTlufaUA0t8Zho2cU1he1WRbzcMxidYlVB2eQ+XmicbmsxK\n",
       "vc1s7/q3hL5d2T0wd2UfNpyEregPJgFgPOfMX6qExgDoKCuvOKdk1KjrKAVtqK97or62Zljeb00j\n",
       "0/5Wyjm2ogjHVhTtOH7ozc8HN2kHMHDjZgGSo5RD35/S5YQQjhCS3hcw9ksd1O76AYeZ2EdmQDmC\n",
       "TEvJaZGDbT+v/fqflwNAOUOenZaa37K38/YJz3qzvN4d44E5ObkCBC57WK69D07NLF6+2N94n6+y\n",
       "4wxCDXm+zfmnsYLX/9rL7/j/+9biuf6W9uyfWVLHe5jkcsSznGkTXvc3/qRi7qSZU8dXWAFg7OgS\n",
       "y6hRBVNovbxjZM3vynI2eMumROyeqTJvnaox3HgQwg+8N2PorYImr3dIsfWlXdXbvrf5g1RPIjTN\n",
       "osnTOF2dT4ATBrbXCdOusPy6lenpaa1FRa4WHcHUoPGXMldWb2rUv/LV39/zuMXh8KjhyJcnC1mP\n",
       "DcfPZ7o9dxN0bAIAuIfjiqbhIOkq060khB1BpHdML3Gmq7qSYBI9jYzYtJaRwp3hvgTjsjmVffiJ\n",
       "Ub2qW1e+l9UXVG7X4m0UqCkoLJp7/kU/e+KGn9+aDQB/euThsfkFhW1trS1rDm2PTYcrqg/7r/da\n",
       "AGWEkGIAHUjWkD9vYANCSCmAhr78q9OAZK7JQdf5mhBy5eDqOISQqwHsc+YUM6AcYeam5tfMTa6H\n",
       "2EVluCuzSwrnljgym4qdafu1bs6R0N9+5YV/zLvossszQSleffGfHWkiPoJr7+cOl1MzS74AsFPF\n",
       "ljl8zptQ8ObHcvOtgp0Z3/+4AALAsMqKstOilV6ZuNblFr2qWtNT4PKmwppiwcB5c0opq2s1giZv\n",
       "cErR9bNrVzTMqltR4JRjUwRNOZs1tLvJoN+bAMfJkbRUo9FiEWs09j9FWZOe/sro/MXN1150ygWj\n",
       "SwRRknH7g3/KioWlnzW42YfPu/KmsZ7UNOa9l59fsHzz1q/dacJ5HqfN1t0bqZnG5T+8p3WIW0Md\n",
       "2T45XJxtTWkc78kZthKTpuEzMIj08xalJ70oQG1uQ5fjNNFdS6S6LzWxtyV8tCcYP1K0GvIdL0ld\n",
       "+XmMZXKC6kqXoTxEKe2YMGnyHZdeec2OD9WXXHFV9pIP3jsXgBlQmoY03AElpVQjhFwPYAmSaYOe\n",
       "o5RWEkKu6nv+KQBnA7iIEKICiGHntZL9bkFySvx8AOv7HpsGwArgzH3tjxlQHiVW6j1nFS+Ycfmc\n",
       "SVPSV33xedea6vrfzLRmr9/7mUkz7NmbVn/x1f13b6/8iaarlO+JPTPNld1+MPu8P/JTcl58Pdh1\n",
       "zE+dGQUGpXgnHmgqzCx+s0N0k7v/szaPSy92VPXqVMw/KxUDhvcJAZwCoLVukE+dlM9mdteo/g/e\n",
       "0xb4/VZeV69lqVE08D4UoBphaxROWB+3Otf902M/6bofzD/ZaxVQBtg6v97+o8rOrrcyRqeNHzu6\n",
       "RAAAm9WCeTOn5rzx2uLjTr3hpin5JaUMAPz0mltyn/71Lfc/ctWZTo5j0dDRPfbRVxarc9ni3w/1\n",
       "Pa4K1Z5e6nVee1p+mXdNq69rVXftn+eklC05iD9W0z6SdJXpUUS+k+psJ2dRAp6csGpx6poUMRJd\n",
       "VcaAWtmyOZV9ZOnbRf/TwY9LolhdU12lTp0+gweAuupqRZLEqu+8g6ajGqV0MYDFgx57asC/fw9g\n",
       "yL8pA9r4CCHzABwPYDySazPfHyJf5R6ZAeWRywFeuadSqc8IinIknaTdW+7O9g/VcKnqu9hTVHiN\n",
       "xhChvq4aV/3i9oI/3PPLGxHCz/bnhrME75eI4EvAAtiGrkZDDR0r5I4fQGBKnBLzyRRHznfyBjvO\n",
       "k+PbKDhuflKw3WxkjkqjBZMT3YLtTRDGGQCAXgDgCccSpLsFZHgsMFo2oTTWi5SVX2KBxbDQz2pB\n",
       "o1EOwLi+L1BA0hhuq8JbNkatrk0t6SWbAq6MHbvIVanuR27rjuqPKPempmxpbPY6w4Koajp4Ljm1\n",
       "3tLWKfIMm2BYbsdwKCEE6R6nhetrMyo3i0vzOMogDv09uhzMRRdPL/cCwARvWvbDn6//GZKfTE2H\n",
       "wOAgsseZHpcZTlOliCZ1VqpioDWsJoIikkGkuaFmhKmvq/37r39564mnn3n2fMPQ6Qfvvr28vrb2\n",
       "uYFtysorzsnNy79EkiS1avu228Kh4AFvhDMdufZ3DeV3qe896tO+r2/FDCiPUFOz0/5x48zxCydk\n",
       "ZkE2dDy0bOOjQPYuu4W/jrRNmHz6aRcf/4MfCQBQV7kNX/zvEzicbgEhMRkAKl2nU4EdY5PoZzPs\n",
       "ORsOpF8rGf+DV1938XGlxYWW19/76PTVX65/eJYld78+5eyr5oySzLb0wilxq3OyzFmm6Aw3BoTs\n",
       "9Jp2CZROLkojFV4rVv/jCe3YklFc2upqeOq2w9HWiP7orv/XnElLg1xSjM3VjYszLJ5X671l1coe\n",
       "ksPHJW17dXdwenlWqsUwgC/qOzpLXRlN9e09T//83ke831s0L7OusSXWVNPy0ry0oq8/ff3VLene\n",
       "nCme1DTy9j+f7hKUBAMgCwASkoxQTIxgNxun7Ty309pOp8AP+fvblgg6a6K+Chdr7emv0W0aHoqh\n",
       "kW45IXRSne0E0X02tySBKkosoKiBVjHmq4kguaHGzA05wlFKdULIWRvWrc3ve6ht4AeH0rIxPzj/\n",
       "4kv/dvk112eqqoqfX3vFOELIfErpkB/8TSPfQVhDeVgxA8ojVHGKa5TbmqwBbWFYjEp1ZgQSMUua\n",
       "xbnTmqy4wEyeMH12CgBs37wZK1asQHtTPRXESPN4Sx6+YnvvveLGy08eWz7G+vb7i8/4fPGnzyy0\n",
       "Fry0v/3pliK2VZ11lxSVFy8oLsyzpKS4cPn//Tjj/9U2nPtpb/eczKKiKbIk6XKH76VjhKwP2xJB\n",
       "54qw7ywCYixIyX4r2+aJ7+n6MiewNbnjynqdGZNFwT5Z5YTJuyYQpwara1WCKm2q6NjWmNXw2Sk/\n",
       "PWbmFOPf26Bt34oZoshh6TfNNRB0uty0yWLTnJPGaSdddYlNT03DfY880cRlWR4pcWWE9vZ9z3GP\n",
       "fvLZldudmS7rhJikKJCFxwLp6gMnff+0iYqq0jc//GxjYcJ6zyxndhgsMFU0rn3t9w9cCJZJy1TI\n",
       "GxFWnvjgi+9eWuBNs66tavKlJay/3d261JZgvKotHMvN9zi55mBUawvFq0al7txmS6S9kE3R/3Tl\n",
       "omlFjf5QZPnW2nfnOcqGZePP0ao/iOwyNLaVUnRbHAlRV2Q1ERaV3qaoWebw6NUXQLYO9Vx6esZF\n",
       "l19zfSYA8DyPq264pWzdmq9PBvDK3q7rYbmxhbz1fpaA69bUJzpU+VuPGpkOH2ZAaTosdcXEiG58\n",
       "M4vWERXjU6y2XRb4O2R9w+Y1XwULy8amvvXJCljGLIQz9xjiW/pixcZgW97446bNmjF9qhUALjj3\n",
       "HGdldc21G+q7Nk+1ZW/a1770SFHrmo7qp0/kPOO5ugAeuv1B3Prb2+HNSocoK7k5ZaOneVJSGEXV\n",
       "oGdm3rx82cqGKgO/YfLnlAEU77etO+00Sq/MtafsmEru8uR4mjNHTYza3JMl3jpZY/kJIGTn/DqU\n",
       "xnld3VzY01Azt2Z5fHzrZptDjo3mdO1EBjQdAJTGbTuaS26PERLlDT0MV7vF4YqwZ//k7LMvviw9\n",
       "h1L+D/f9KvbBo09tNXQ94gjpj5e5vHsNJgGAYzi6wFORXJ9iB5azbRfddvO187PIZhkAACAASURB\n",
       "VMpKizkAGFdeNvOZx5+fV4y0xZqhkV455pxtTXvRzVvVvvo4DZFu6cO6lk7XDEdugLh2n9dxpqv0\n",
       "rr9+ue06C8+USKpeP8dd9rfBbUSL9IuHzzqphGNZTCvJS4lLymnbqzpfHefJ6d6X78eU1B9E+nSF\n",
       "aaIG52OFeEKTI5oci4qtG80NNaa9kiQpEAz0IjUtHQDQ1tIsRsLhzr2dZ2GY3Pl2z3u3pBeUsgBe\n",
       "DHXN9HLCj32asvJg99l0cBn6yK77YAaUR6itvsAVf1q5+f35BXmepmAspsvcH4h912Bktqdg+xef\n",
       "ffbM0s+WXp1ywtVuQgCwLFKnnVbU8OnzC0tAycD2edlZlvpY7FpEcNW+9mW9v+nUY1j3+JS+bDuT\n",
       "/Cr+9fLryCzICcQ0w33dFVczdocbiXgE/3jqrxkNunIVU7igjBFsAACjYFbFl5LvWu+4E+pFwT5R\n",
       "4SyTDIYtHnwfRtdacwOt1dOa1gYmtmxgvOGubE5XKxjQuYPbGiAhjeW2bXOnWHylo7PbU1LF1u7A\n",
       "W3NI5msAsIn6f/2bCy9OB5JrGS++5obUx++6a1WGjCUBB85brnbEynXni1lW925WNA6N8GxhcVH+\n",
       "jt+rUcVFVmphi7aHO729ou+P5U5nZkO4O5EwuL/Ny6r4GADcvFW1MmxoTbC1xMpw8qTU/CETJts5\n",
       "i35s6tg9lpa0WziBY795HWSnOK2bVL8TgBlQ7oViaKRHEYVWReRbDI10AfGEIsZ1VQwkehr7K9SM\n",
       "7L8IpmGzZdOGO6677OLpP7vymsk9XZ3sB88+Y5Roxr2EkE1DpG3ZwcsJPznf4y3l+rJPXJiSnbtB\n",
       "il0JwAwoTYc1M6A8QkVVrV5MkKsjAas+wZYV5ey7r/6ygM967d+B5kJDjp/LWpObadR4ULURpnPT\n",
       "hi2b1qxbf9L4igryyWefo7y0BB1tndzqYPdpnoKc/3M4HHxLQ+O2GYr7NwLLDzleb1DKDIxKCYDl\n",
       "K1Y35Kd5H8weO/oPdkcyMaLd4YbFYtHBuxKCJxOcKw2czQnO5gRhuXODA6+h63Kxv75+fNtm/9j2\n",
       "rUZusN1tUaVSBvTEwfenQExjuO0KJ1SKgmN7jyuzco0rvfdzLXEbtdoyud74x6dLxt/y2Mwd/aea\n",
       "3tXj8xnZuXkMAHS1tyliIqE4Jo/9+69uuiY/FovjwYcfnc8FY1cMXkawJ1YZi//z1nuLLvjxj9Io\n",
       "Bf771vvdTol82pPovvu60uKxFpIsr/1sc8u1EVX63M1b1YAcs2x1an9ddMn5ZdFIVFu2dOnyBUbK\n",
       "vStjbbMpz+SnKfyKcZ7srn25fySqrPiisnHCgrEljpgk4ePN9U3jPXnDk4t0BFIMjfRIcaFJE62t\n",
       "qky6NSUS1ZVeNRHymxVqTAeCUhoihJworVu/5aqs/IJ7LFZHIn/0sXe31T0D4KzdnScZRlevrqp5\n",
       "vIX/UlPwricdkUkLznAXjX8r2rL9XHNk/Mh1OG/KGQ5mQHkEI4RBoSMtsi9txxL25e3LXjjTNf4k\n",
       "K3QRcuUyZaLVvb6Ypn7+tyefGz1vzoySOTOnklAwHG9pbNk8a9GCG6697lovANTW1hX88YGHu+Yj\n",
       "88mhrj01s3jxl53VZ59IUit4EHyuBVtGuXJunGDL6fgqGOps7omnNPeIaO5JoNI2B57TTjp14PkO\n",
       "KYrC9rreMR2VPaW+WjUv1GGzK/F80rfTeiADJKIzbFUyeLRX9riytjdnlrTRvkCt3//inU/m//Cq\n",
       "2ZzDg4SveeY7n77mOk5w/6lS919MGOJOUbjX//K730494funj5NlWV/+8Udr3Gnusb+87eZ8jufh\n",
       "dDpx9ZWXjP/jfX9ctNDi3Oed1DNsOetWfvzlHzdv3n4GNXQkukIvz3Lm1q6XAk7LgD7mWa2OTjHs\n",
       "cfPWno1M7Pqf/+qhaWnpyYIEmdnekz94+YXUCy45Z8boUUW2/77zYef6TfV3TbPlbNzb/ee5yl5+\n",
       "a0WV/OGG2vmirEXzjPQ/OJ2731R0NFIMjXRJUWuzFLO2KaLRrcuRiCx2yFFfL8y0PqbhlTrPlWIr\n",
       "sSZnYxwsi3SOz9rTCX5d/e8Lwa7/+54z7fjFZVMsWWf/nKQAKVKg64dVr9z3KIDr93S+6fBlrqHc\n",
       "C0LIKQAeQzKp5rOU0t8N0eZxAKcCSAD4GaX0gHYSm/Zf1MX86Ll7f2Ht9HXDIgjIuGiO4+67Hz63\n",
       "hGGfmiJ7Lli3esNNW7dsz9Jj8leMbPjnH3vsxf3nlpWN5m1uxxhEh7621+ZOZLoz7/ww2vsTLjXH\n",
       "apt4VmVHav65Tbxlksawox/7qAEAwGsy8iI9bF7vBnWUrzqU5W+w50a6ebcmCwDS+752kAnjJwy3\n",
       "VeGEqoTFUeN3ZVW3pRd2DQ4eB+uRolZLbmkR5/AAAOzeIr7Xkzax3uh56t6Lz5nocdrx2H8WL0R9\n",
       "6JYvn3vJYAmjLUzNb/6KC96PAYNRhkFBsf+jU7OFnA8RwIcAAGuyamNI1Rp9sjzBa7EwCjVQHYv7\n",
       "Z2UWBQCAs1oyUtMydpzvcLmt8+fOmHLSwmNsAHDr9Vfm/PzO+69CDNfsy/3nukb/F8B/Yd9r06OG\n",
       "rCmkRQw52qW4pU2O6X5N7g1JkXpdjodhpvUxHTwd6+OR7h+kZGQwhMCvKuhW1YY9ndC3e/z0qkDi\n",
       "snHjrv0b+v5OW9OyGd6ZUvqd9Np0UJgB5R4QQlgAfwFwIpI1JdcQQt6llFYOaHMagNGU0jJCyGwA\n",
       "TwKYcyD3PdoRQkhmfvHFEbA/XJ7o/PhYe85X+3KewAuYNmkiAKC7t2fH42kWpzwfzt9DAsABm0lb\n",
       "7uqvVvknT5qYCQCNjU2aGIk1YOeS1uh2e11NmaMmtMR7b2YnnFBMLG5OYwUiq9KZ3nAncoPtyAm2\n",
       "obCnKZEXaCVuMWzrmxrnMaA+qAaoelY65yzKJaw3A5WqjnWb2hHSKVtHjRWL8ia+uT8/HzdvVbRY\n",
       "SOk/ppRCj3RbLj//xPLcjOS26NsvOD33pkdfvHQOV/LLgByzfN5dfZxk6Gvvf+iRSTfdcG1BNBql\n",
       "f3/m+S1TbN6l+3Pv3ZmRUf7gi63VSOG5UVFNi2faMu/rX0IgJOQlH73zxjGnnnmOwzAMLHn7DWne\n",
       "xDE73nkICCwWgUVs99c37SquimxLIuTsFCNcuxhRO3WtKxLv6QEQNkchTd8FSqni5YUL7m6r/2sq\n",
       "xzvbFammUopfvQ/nGYSQd4JVX9+ZNnZOMQCIPW26Gg1WH/ROm0zf0oGOUM4CUEcpbQIAQshrAM4A\n",
       "UDmgzQ8B/BMAKKVfE0JSCCFeSqlZNu5bKho76enTr/j5BTbC2Hprqhd+8vnHz51kyd5jKopcUXjl\n",
       "d4/9ddHtN19XasDA7//0ZH2+bHsN/K5tJ6Xmd3y94uu//bq19UKny8k11NZXjeULnt2YP2FiyJE2\n",
       "XuRt41WWn+iSooXZoQ6cEOuBt20LskMd8IY7kR7bZb25HQAooOmEadFYrl5lhfqEYK8NODNqX7Jq\n",
       "Fz96ySlnC1zy5VgUF7Giyo/jYE9ri/jOArBTQFkd8WWsl2IXANDn2lNfGlxGUmB5wxZsf7lr+ZuX\n",
       "2fJHp0Vr1nfaxcS7qq7dsLqqgeiahgmjCgAK2iWGHdXBhr+f6c0eF9YU49Pm1viv7n+4JxGLRXIj\n",
       "5NYUT4qCYeDmrepxOZN/M9RzmQq7qXbjWjUR6gHVNZz9vYXCS/96PbRw3my3NyuDvLfk01C4K7AE\n",
       "fM5Qp5v6UEOHX45bfImgvSMRYnxSTOpU4k1RTQ4AiJqjkKZDwacqGwHMH/y4I6vgJMGdermhKpFI\n",
       "S/XtlNLAwOcppd12b/EtlS/++tec3W1NdDVsjrVVD1lW13RkMNdQ7lkeds7B1QZg9j60yQdgBpTf\n",
       "AiHEsujHF588ZuZ8W9fmDZiy6OSUlm0bfoAwXvGJEXtDvCcvz5bia0v459o4/VI7zwodcbl2ZtqY\n",
       "O9ESu+LOux64QDcMKstGqMdlv7VR7qxcxGe9QphvdgbLnMA6s4/f1uVMf1lQ5KkZmdmT1ETwi0nN\n",
       "G9isSBcyIz5khbtgU6Uh+6gD1M8JSnt2haUztQDNEV/YFfM/VphV9oEk2HaMDLUlgs7aRPu1mmzk\n",
       "vbe+OnL2rPFuAPhoTRUKdRZgAZbsPL9dHfFlrDTwtG3qT4qpoeOzbR8ee1I8eHmBI3WnCfnT3Xmv\n",
       "V7Y0LOuq2Zg7zpnR6PQUyM98tPLSSy+6wGW3WXHPS6/KiOovbhWbLr+6qHC8h+fwOnGwf3j4EbfN\n",
       "ZkMsFsu475d33Adp36aZD0RrIlhw2ann2OfPntn/EPPWO4ub77739x9xFi6HEfX/zRFyzDx0Q1B0\n",
       "hekRwxZ/LGDpFMNMt5KIdEjRmhgQoJQmDnX/TKahOL2Fp+XNPe350lMu8mpiDBueuXs6IeSYwa/Z\n",
       "hK/pbQBvH6JumoaZYU5579G+fuIng47NkYJvjyqKkjHwAUnRCr8I+ya3OTy/tk08Pruxu45YeJU5\n",
       "xcXxJ6c54RPF/Geqa28+zjvxDyXAXz/Xu286/apLrps4fYatftvm45c+/+LccUxKlaAp462qVJIV\n",
       "7kqf0ryezYz4YFd2/zfZAAknGLZrS3peYWjcfFtPei7quxpDXXWbnpMn//BGa3ZFssOUemLLn1l0\n",
       "oWB7p//cgByztKgdf7/92AnjBMLgtq9qpP9u6466DIlMEHVLOefkN0uxeAelHW8Gmi4qZ61Lxnuy\n",
       "feuk2M9sU88tJrwVBIBt7Mllqza/c3aBI/WFwf0b68n2j/Uky1F+EW/5/g1XXWOfPGEsAODXv7zV\n",
       "ctvtv/kBkWC19aXZcefkwWZLLp53Op3ILcj3onaf9jwdkCJ7WstXX6/zz589Mw8A2ju6DDEaazyG\n",
       "y30cOgBhLxc4ilBDR1iVhJAYFnqjPYJfimi9UjTQbmj1ESBk7oA1HQmsqVlXlp5ykZcQAt7uwqjv\n",
       "XTg51LBlLg6g7J3p8GeuodyzdgAFA44LkByB3FOb/L7HdkEIuXfA4VJK6dID7N+IQylVssunJzYv\n",
       "/8zu4gWs+ngxeoIJBRz/i+xFFxcTQuAePRPB9W+juqwMnqrlmCMw7FQlPnFW3YozZN5anuNyn+F9\n",
       "5kkb+2Anpkd6rLOoMQ/AvKHup1psQF4e4narVtXaUV/LutDOW0QnQ54enTVmFQD8L9Q2r8fXchHx\n",
       "txJXPPpOKsu3dGqKDvRNqFMDoMZOa9Y2hlpnXDi1uMLF87h/cyesJ15n5Z0ea7hqVWT5ho+Xbk74\n",
       "lIBgK3Ucf+mxVkfK8Rs3Lj6nuavqD4qmZVrUBAhv7f+BAGTvU5kMx3pSUz07hmHdLhcYjnWkW1Nf\n",
       "/k9H+9zz8vJywj1+UCQ//RiUosffEyv6DqK5EldGaM3Wukfv/M1DV7rcLktzY0vtJNXzx6GWIxyN\n",
       "RE1m40qCC8V6hVA8wPZKUTGgJHrage5Qcip7WJYlmEzfFV1TZENTwfLJ9xc1HpYNTTFXSQ8TQsgi\n",
       "AIsOcTeOOuRAlhWRZN3kagAnAOgAsBrAeUNsyrmeUnoaIWQOgMcopbtsyiGEUErp4JFM0xAs2eOW\n",
       "pYw7YYG7txYFjjx4GlZ25LAMyS6emOOJBeCJBeDw1SNTV+GS9ljREAYIQo5UxKyukMxbuwxC6qyK\n",
       "tEky1Obq4+bcf8X1l3tJX4Ldn//2CbWt8CweoAise7NzbMh3zfSU3F1yHGqGRl4NdjxmnXDKHNbm\n",
       "4WPbP2kdJ0VumpmS29Tf5nNf9ayzJ2Y/keuy84/EC2Adu2DH+V1LnlmTF+r+c8+Uk591lUy3AgCt\n",
       "/BhzlDq5It3Nv1/ToVVnHCvAngapcnH196zOKwZW2RlKbbQ7zRid/ty9v/x5EcfyeOzJZ7ra1lbf\n",
       "MtmeXb2ut6k8KocvkTnGmVlenltWXmGrramJMG29d0+xe2v25//GdOD6RyHjYoSLxXrYhBRGIBGO\n",
       "dlMjWgt0K8kE42YQaTpicTZHcUbFzI9KT/tZuRzyy3UfvrA43LT9LHOd78FxOMQXhBDadu+VB3SN\n",
       "/HufxqH+PvbkgEYoKaUaIeR6AEuQTBv0HKW0khByVd/zT1FKPySEnEYIqQMQB3DJAff6KKcGmy+/\n",
       "ZeWLq06SI2l9D+UCADq279JWJwxCjjQEnOnodWYgbEsRI4IQ07yZnpwpE4XOWG9k82cfvbyQzXx2\n",
       "4HkxVeIShOj9wSQAaLyDTx4TeMafnFP/xfOnTQf+PvieHMPRc1Nyblmy6f2TFIKM2RbnxxUpuf6B\n",
       "beZnjFr7VlX1uu+X5c2gemzH65AaFFAVQ6fgCWdhAECX4xgnt+Ank0otADAhO1248+P/tXfLwjvf\n",
       "c6a/trdgEgDKXFmBbXVd1934i19dzzAMw4eVl6fZc6oBYHp6cTWAOwCA9upo/2ydc6rVHSN2794u\n",
       "axomCVVio0pckBMhIsYCUMSQ2qNK0S4g3AwEY4BIKVUPdT9NpuGgifEmQsj8cFPlKZqc8Gti7BMz\n",
       "mBz5zE05e0EpXQxg8aDHnhp0bCZiHUaGHK99M6N4qa5EfxSzutVeVyYXcKYzQUcaQvZUhBxpCDrT\n",
       "IFns6Ka0xWr1LHFK0e3ZoY7Kwp7GbpemYXXlmooNDetn2GR9y0J3/i51u528Vdta27zkjQ8+Oae9\n",
       "rdXV2tqmdSipDJsLBgC0RFCzUMO/a++SBJY3Ts8atduE4ALLG7M95Te8X1V3UpgJ/ERxZpRbUnNt\n",
       "oa1ftOeryl+nphVUvbX1s+3W9PwpVFeRwVEDSN6bYRik2XjfIk/ps7u7/lDGu7I7oONO6MDucjQS\n",
       "hkW+PdWcejrINF0jYSUhSFKEVRIh0HhQVaRIoosaSgiIrAXCSAaRZnof04jUV35xj9k5TCPLSF9D\n",
       "eUBT3sPpcBiSPpIcc/FTLyiC/eL+JN/EMPxMrDs0XmwpmcbEuDw1gE3tzZHV3eJt8zLLVn+be2iG\n",
       "RlYpTa/cf9GpFeluJz7eWKM9vzFiyCklmlS7cv2P3d5brCw/LLWNP/c3TI4R5JcJjtUVbq8fSCYo\n",
       "/zQeuFInSM1n4uPuOG5Kmdtqwbq2bvGNTc3/XJBW8fRw3Nt08FFDR0STeVGOcWo8CCqGdT4RkmOa\n",
       "bHQCoh+IbwAiSE5nm0GkyWQaNodDfEEIoS13XXpA1yj87fMjd8rbdOiInOU/JNBm5BJmfW6gtaog\n",
       "0NJLDR1L/dvuVO3CLI2C9orakgXeCd8qmASA6kh31vFzyrzp7mT975OnjOE+3/heVdvmqr+elDlq\n",
       "zXAFkwBwXOaoTQB2GinNsLqkn1pdjwNARyLk/N1nG39h4dlURaVrj00pe3m47m06OPo308hihNES\n",
       "QWpPRERBCscTgNEGqF1AbDMQRTKIHLbXkslkMh2ORvoIpRlQHqHWP3/JkqkpedLsomnB/scIw+I4\n",
       "76QHNUMjLAglbnZPl9grB2eVeqOJbyrOGAYksMXzLzj/vtqtm0O01XffDGvWLtPlB0OuPSWWa08Z\n",
       "MjH4QF90Vs2RNKk8xepeNStzlFlV4juk6RqJqKIgSjFWTQRhkaJyejwYVgwVvYC2FTAagUhDci21\n",
       "RCkd2e+uJpPJNIBhrqE0HWk4hvvW6xiooeP9eMf5MsOOsxv6mtT60JK3V205sywn0/3W19vk0664\n",
       "xVpSVmE94Qdnpj5x/69uQwgXDGffD8THTRtumcRYflTAup2bE/ELlrZvfWxR3oQPD3W/RrKYInJx\n",
       "NcErsSAghvQ0KRLLluOSCKABIBsBrRmItAEJJIPIw2ONjclkMn3HzBFK01HlDdH368JTz/+ep2CM\n",
       "NVC7aVHXsnf+8+nSmis/wLb8lIkTbi4pq8gHAEII3KnpNoQOfuJvAKgMdWR3xHtOBWH8x3rLP+yv\n",
       "g90vpkpcGsgJEwWHEwAWsO6MN8TAuQDMgHIY9U9jS1KU1eIh6pKjYlE8EOIAIwqQ7QBZCmj1QKg7\n",
       "uanGTDRuMplMAKg+slf2mAHlUagu5s/oEtRTqKaHZlqyF/evhdQMjVhyCqalFI6xAkD6mMl2/7ZV\n",
       "8+eK3OMAaj73+8+KRML5brcH4XAI3W0t7eOQctD7u663aQwjRx69MCU9L6ir2nvtm08+Ln/yTQNH\n",
       "YhVqsDzIzouVieE56J0b4Yaaxs5NhEK5uiKrAG0C+OUAWgGlBgib6X1MJpPp6GQGlEeZrbGuQmtF\n",
       "zuP3XPazwkAgqP/tyWe/P0P2XCewvMGCUEPVdhr501Vd73+ZjI2S2/9+/z13u9PTsyI9vb6KOPMA\n",
       "bAe/z5FE8OprsnLyWEKQxnPcsU7PjJU9jWMXZJXtSLyZJtjlVVTd0qbJ2XmsQGogIyPTmbmyt/qM\n",
       "eenl7+zp+qZvDNyNLSfChBHDWpoUiZXIcbEQkNsBoRpglwFsBxDfCvTA3JltMplMe2XmoTSNKLFU\n",
       "4drf3v6LQk4QkJebw/7fhedOe/aRJ6cdl1m2ljAsiL9jcce6peello73+LevDVpCvW/Cmcybnm3z\n",
       "xLN13IFuA0AqvotgEgAYQvqSIyVxhBCDGru8dl2OlBfaPHRRgKFCeXYWflrgtT60fPNJAMyAcg8S\n",
       "qsTGlAQvi2HGEMOGS4yKxWIomA8obkDfBgibAPZ1QGgFouamGpPJZNp/5hpK04jCsgzD8d8UibZa\n",
       "LSwYsqNg9Q+duU8vW/XZ6ubVn0/KMMiaE1MLKoe80HfIwtv/9W6wZ+z3UzOyIppOl0XD2+fmjt82\n",
       "uJ2dExIFqULi+2MKBQDQdAOyrpvTr4MousJEFYmXpAirJUJUkKJKfjwYyKa6MiY5CslVA8I7gNAE\n",
       "qHVA0A+IAGRzU43JZDJ9OwcjoCSEnALgMSSrFT5LKf3doOcvAHAbAIJkmrZrKKWbh70jMAPKow4b\n",
       "kF55/G9PTbzuqsu94UgUL7z4r+2TXbnrBrZZmFq0EcDGQ9TFXczxjlm91t/wi790d55NQQIzvGOe\n",
       "sXOWXVY3T08rbPmibdtSh8B/L8dps31Q29rkhPuxQ9Hnw0l/beyEHOPURBCsGFWzxXBknCpKBYDi\n",
       "BIztgGU7wL0OsD5AqgZ80eQopBmQm0wm02GIEMIC+AuAEwG0A1hDCHmXUjpwIKgBwAJKabgv+Hwa\n",
       "wJyD0p/DZcDhcMhkfyQhhLBTU/IWnj0gD+W+2pjoqojbyU8NTY+MUZ1PeW3uxMHo46GyvLtugkrV\n",
       "zFEO7/piZ1r4UPfnu9a/DlJSRa4/nU+qHE/kSZFEMaDkAHo3wFQClnqAqU4mGo9VAzGYScZNJtMI\n",
       "czjEF4QQWnXFjw7oGhXPvLVTpRxCyFwAv6aUntJ3fAcAUEof3k0fUgFsoZTmH1BHdsMcoTwKTbFn\n",
       "VwH4DTiMyFfAsVmjtx7qPnzXhloHWdS3DnI0oAJANcCvB4QqgGlKTmUHzKlsk8lk+m4chE05eQBa\n",
       "Bxy3AZi9h/aX4SCm0huB4YTJNPKJmszGVZGXxShR40HYlbicHw/25lJdKQEUC4AwQKoBy6sAXwmQ\n",
       "DiCxCQjAnMo2mUym79xBWEO5zwMBhJDjAFwKYP5wd6KfGVCOANTQ8e9o5y+R6p1hqAq0cE/UYrX5\n",
       "3ar6v1M9eUsOdf9MB07RFSamyrwkRRklESIWKSp7E6FQjq7IpYDs7ntjaQC4LwBbFcDUAZoPiNR9\n",
       "U6VmZG8xNJlMphFkdWcPVnf17qlJO4CCAccFSI5S7oQQMgnAMwBOoZTu9zK5fWUGlCPA2+H2811z\n",
       "f3S6PafUCgDBbcvhyi+D6Guc/sH2r/jve/LfP9R9NO0fTddITJN5UYqyihgirBhVM8VwtEwVxRJA\n",
       "yQAMAJAAbAasjQC7HaA+QKoC/LFkAKns5TYmk8lk+o5Qff9WFs3MSsfMrPQdx3/bVDO4yVoAZYSQ\n",
       "YgAdAH4K4LyBDQghhQDeBHAhpbRuf/u8P8yAcgSQGHZCSl8wCQD2vDEQe1uRNuHYlPaGTScDMAPK\n",
       "w9xuEorHi+S4WNy3kaa/bQPArQGsdQCpA7TOb3JDyuaGGpPJZDo8GcM85U0p1Qgh1wNYgmTaoOco\n",
       "pZWEkKv6nn8KwD0AUgE8SZLF5FRK6axh7UgfM6AcAayGvlXsrF9k6wsqEx11cOWOAtU0UE3RYDnU\n",
       "PTQN1h9AykqcleNhQqWIkSJFE6OlSKIAUIqAHZVnwgBZnQwgmUqA+AGxCug2RyFNJpPpyEGN4d/7\n",
       "SCldDGDxoMeeGvDvywFcPuw3HoIZUI4AZ3ryXv33qreLI2nZ01VFTuedHouekWOp+e8jYUZVrW/E\n",
       "6s89K7P4NcKwh7qrR7WYInJxNcGriTB0KUI9YjRRKIYSA3di99sCCI0AVwuQFkBrBsJt3+zINkch\n",
       "TSaTyXRYMQPKEYAwLM5NKXgQBgCOx7KWmgk1jdt/xY8+sYyxOudEgi2TX+vc5DnPO/qpvV7MNGxi\n",
       "isglVJHrT+XjlONScSIc8lJd7d+J3a8NYGsBvi65mYb6gMRWoBfmjmyTyWQaEYz9XEN5pDEDyhEo\n",
       "3+Zur+ddqYzVSQCATS20if7aOQDMgPIg6s8FqUpRoibCcMlRMT8RDg9M5dMvDJBNgKUumVgcPYDS\n",
       "CAS6k/tszLyQJpPJNMKYtbxNRxwXb5GoIu5Yg0cpBQzVnCYdZoMDSIcclfIT4d5MqqtjAHlgACnh\n",
       "m2nsKgDNgN5uTmObTCbTUWN/d3kfacyAcgTKsrpFe7ju/UTnlh8zjqwU3V/dPorgr4e6X0e6/gBS\n",
       "kWOMFg/RgQFkEaC4BySZlZCsTNOQnMYmTYDeBcSrv9mNbU5jm0wm01HEnPI2HZHO845+clVP48eB\n",
       "QH1+qT1lW3lGUc+h7tORZk8jkIMDSCCZzqce4OsBphEw+tZBBpAMIM3d2CaTyWQascyAcgSbk1FS\n",
       "D6D+UPfjSPFtA8gmgDQC8AFiPRCKATIAxVwHaTKZTKZ+5hpKk2mEGrwL2y7H5d2tgQT2GEAqMDfS\n",
       "mEwmk2kPjIOQh/JwYgaUpqNCfyJxSRW5/jyQTjku7W4XNpBcA9mSDCKZlFe3FgAADZ9JREFUlmQq\n",
       "n4EBpGLWxjaZTCbTvjI35ZhMR6CBpQwVKUqQCOtuOS4WiaFgNrBLHsj+XdhtANcIoBmgAUCsBYLm\n",
       "FLbJZDKZTHtmBpSmEUHTNRLTZF5S4qycCBMiRfX+UobZgFoAqAMDyG6AaUoGkGwjgA5ADwKJzcld\n",
       "2P0jkGYAaTKZTKZhMdy1vA83ZkBpOiIpusLEVJmX5TijiCHCSDEtTYrE8+W4NLgWNpBc/9gK8O19\n",
       "6x+7AM0PROqSeSAVM42PyWQymQ4mc8rbZDoMiJrMJlSZk6QIq4oRcHJczRTD0RJVlIoBJQfYkRg8\n",
       "DJD+6evmZC1sGgCkFqC3Ozl9rVJKtd3fzWQymUym4WUGlCbTIdC/A7s/ibhFiSteMRLO0RW5AFAy\n",
       "gB1zBw0AtwywtSeDR9IJaAEgXtk3+ghz+tpkMplMpoPKDChNh9yedmAPzgHZDTANgLASYJoB0gYY\n",
       "YUDuG33sDx7N0UeTyWQyHVbMNZQm0zAbuP5RE8OAFNU9clwskiLiwB3YYYDUA8IKwNYGoAUgPYAS\n",
       "TK59lJAMIFVz9NFkMplMhztq5qHcPUJIGoB/AygC0ATgJ5TS0KA2BQBeBP5/e3cfI8dd33H8/bk9\n",
       "x5GJ0hQZbJyYOrQBEsRDqJrQ0irHQyTXKQ+iEigQCBCJCBSIkFriEAnyT2kSqcJCSBBCQJGQMJRU\n",
       "1LQhYAoWT4khKM4DsQETIuwY24njs/dun2+//WPGyfrsuxt7bnZ2bz8vaeWZm9/tfPer29HXv99v\n",
       "fsMLSXqZvhQRn8tzXhsutXajUus0ljUbU2PH5j+ubFar5zenG2ug/RfQOVY8/gHGfw7L0mV7OpPH\n",
       "D123vfajmZkNIz/Le34bga0RcZukG9L9jbPatIGPR8QOSWcBv5K0NSJ25jy3DaDe4etW/ahm6tVY\n",
       "0ZpurqofPfzCmVZrLbS6wF5YdgAqjyY3z5wxq3hskxSPMwuczszMzAZA3oLyrcBl6fZdwDZmFZQR\n",
       "sR/Yn25PSdoJrAFcUC4Bxy3f06hKjepxC4gD3UMwfgAq98HYf8KZh6F9CKYeP37Y2j2PZma2ZPlZ\n",
       "3vNbFREH0u0DwKr5GktaB1wMbM95XitBdGeY7rTGG51GpdmYGuvUjyTD141q9QXtemscogOxH8Z+\n",
       "AfEnqNShcxAm/5gu1wN0XDyamdmoGfllgyRtBVaf5NBNvTsREZLmzFY63P0t4PqImDrVQK3/ep8+\n",
       "02pUFY1qd3ljqrmidqRWoUsH2pMQ2yGqyZB1bQ80pp4bsvbd1mZmZngOJRFx+VzHJB2QtDoi9kt6\n",
       "EXBwjnbLgLuBr0XEt+d5v5t7drdFxLaF4rPF03vzTL02qZnGVHesWW132416HdpHoHMUOnWo74fG\n",
       "wbRwxHdam5nZgJA0AUyUHMYJoru0B+fyDnlvAa4Gbk3/PaFYlCTgTuCxiNg035tFxM0547GMjvU+\n",
       "TtaPnDFdPzJeb1RpteqtZqtWq3U7rSbUOicWjh6uNjOzgZZ2Rm07ti/p06UFM0LyFpS3AN+UdA3p\n",
       "skEAktYAd0TEFcDrgauAhyU9mP7ejRFxb85zW0b1dmPsmVZtebVVO2OqVRubbE6PTbXqnWZrerre\n",
       "bhysQfVpmGqlRSMw48LRzMxs8Yz8kPd8IuIZ4M0n+fk+4Ip0+6fAWJ7z2PxmoktjplOpz7Qqre7M\n",
       "2NFOa/xQtzN+tN2oHG1OR63TbNbazaNT9cnD1e5MDajhOY5mZmZ9M/I35djgqkrdH0wdWlHtdio1\n",
       "NFPvNDuH2416u12vt+tHjrZrk9NAPSLaZcdqZmY2yopYNkjSemATUAG+HBG3zjr+cuCrJCvs3BQR\n",
       "/7HoQaRcUA6v7r7x5XsPNqrdTqM6XTv0RI1kyLrl4WozM7OlTVIF+DzJSPGTwC8lbZn14JhDwEeB\n",
       "txcdjwvKIZUu0/S4i0czM7PBV8AcykuA3RHxBICkzcDb6HlwTEQ8BTwl6YrFPvlsLiiHmItJMzOz\n",
       "4VDAHMpzgT09+3uBSxf7JFm5oDQzMzMrWPcUl2t+pDnNo63p+ZoM1F0+LijNzMzMBswrlz+PVy5/\n",
       "3rP7m6efmt3kSWBtz/5akl7KUrigNDMzMyvYzOI/UO4B4AJJ64B9wLuAK+doq8U++WwuKM3MzMwK\n",
       "tthTKCOiI+k64HskywbdGRE7JV2bHr9d0mrgl8DZQFfS9cBFETG1uNG4oDQzMzMrXAE9lETEd4Hv\n",
       "zvrZ7T3b+zl+WLwwfoKNmZmZmeXiHkozMzOzgi3xJy+6oDQzMzMrWhFD3oPEBaWZmZlZwdxDaWZm\n",
       "Zma5LPUeSt+UY2ZmZma5uIfSzMzMrGAe8jYzMzOzXFxQmpmZmVkunkNpZmZmZjYP91CamZmZFcxD\n",
       "3mZmZmaWy1If8nZBaWZmZlawpd5D6TmUZmZmZpaLeyjNzMzMCuYhbzMzMzPLZakPebugNDMzMyvY\n",
       "Uu+h9BxKMzMzM8vFPZRmZmZmBeuWHUDBXFCamZmZFWypD3m7oDQzMzMrmG/KMTMzM7NclnoPpW/K\n",
       "MTMzM7Nc3ENpZmZmVrClPuR92j2Ukp4vaauk30r6vqRz5mlbkfSgpO+c7vnMzMzMhtVMRK7XyUha\n",
       "L2mXpN9JumGONp9Ljz8k6eKiPl+eIe+NwNaIeCnwf+n+XK4HHgOWeH3eP5Imyo5h2Dhnp8b5OnXO\n",
       "2alxvk6dcza8ZiLfazZJFeDzwHrgIuBKSRfOarMB+KuIuAD4EPCFoj5fnoLyrcBd6fZdwNtP1kjS\n",
       "ecAG4MuAcpzPjjdRdgBDaKLsAIbMRNkBDKGJsgMYMhNlBzCEJsoOwAbGJcDuiHgiItrAZuBts9o8\n",
       "W6tFxHbgHEmriggmzxzKVRFxIN0+AMwV4GeBfwXOznEuMzMzs6FVwF3e5wJ7evb3ApdmaHMeSd22\n",
       "qOYtKCVtBVaf5NBNvTsREZJOyJSkfwIORsSD7qY3MzOzUVXATTlZ33H26HAh0w8Vp1kxS9oFTETE\n",
       "fkkvAn4UES+f1eYzwHuBDnAmSS/l3RHxvpO8n+dXmpmZ2aKLiFKn3C1WjdP7OSS9Drg5Itan+zcC\n",
       "3Yi4tafNF4FtEbE53d8FXNYzwrxo8hSUtwGHIuJWSRuBcyJizhtzJF0G/EtEvOX0QjUzMzMzAEnj\n",
       "wG+ANwH7gF8AV0bEzp42G4DrImJDWoBuiojXFRFPnptybgEul/Rb4I3pPpLWSPrfOX7HvZBmZmZm\n",
       "OUVEB7gO+B7JSjrfiIidkq6VdG3a5h7gcUm7gduBjxQVz2n3UJqZmZmZQYmPXsyyMLqktZJ+JOnX\n",
       "kh6V9LEyYi3TIC1aOiwWypmk96S5eljSzyS9qow4B0WWv7G03d9I6kh6Rz/jG0QZv5cT6QMdHpW0\n",
       "rc8hDpQM38mVku6VtCPN1/tLCHNgSPqKpAOSHpmnja/7PRbKma/7fRARpbyA24BPpNs3ALecpM1q\n",
       "4DXp9lkkcwUuLCvmEnJUAXYD64BlwI7Zn59kjc970u1LgfvLjnsIcva3wJ+l2+tHOWdZ8tXT7ofA\n",
       "/wD/XHbcg54z4Bzg18B56f7KsuMe8HzdDPz7sVwBh4DxsmMvMWf/AFwMPDLHcV/3Tz1nvu4X/Cqt\n",
       "h5IMC6NHxP6I2JFuTwE7gTV9i7B8A7Vo6ZBYMGcRcV9EHEl3t5OsyTWqsvyNAXwU+BbwVD+DG1BZ\n",
       "cvZukhUt9gJExNN9jnGQZMnXn3hureKzSW747PQxxoESET8BDs/TxNf9WRbKma/7xSuzoMy6MDoA\n",
       "ktaR/O9je7FhDZSTLUh6boY2o/xFyZKzXtcA9xQa0WBbMF+SziUpAI49smvUJ15n+Ru7AHh+OmXn\n",
       "AUnv7Vt0gydLvu4AXiFpH/AQyeN6bW6+7ucz6tf9QuR5Us6C8i6M3vM+Z5H0jlyf9lSOioFatHRI\n",
       "ZP7skt4AfBB4fXHhDLws+doEbEy/p8KPUM2Ss2XAa0mW81gB3Cfp/oj4XaGRDaYs+foksCMiJiT9\n",
       "JbBV0qsjolpwbMPM1/3T4Ot+cQotKCPi8rmOpZNnV8dzC6MfnKPdMuBu4GsR8e2CQh1UTwJre/bX\n",
       "kvxPdL4256U/G1VZckY6IfsOYH1EzDe0tNRlyddfA5uTWpKVwD9KakfElv6EOHCy5GwP8HRE1IG6\n",
       "pB8DrwZGsaDMkq+/A/4NICJ+L+kPwMuAB/oS4fDxdf80+LpfrDKHvLcAV6fbVwMnFItpb8idwGMR\n",
       "samPsQ2KB4ALJK2TdAbwLpK89doCvA+eXTV/MgpYAX+ILJgzSS8G/gu4KiJ2lxDjIFkwXxHxkog4\n",
       "PyLOJxkp+PAIF5OQ7Xv538DfS6pIWkFy48RjfY5zUGTJ1y7gzQDpXMCXAY/3Ncrh4uv+KfJ1v3iF\n",
       "9lAu4Bbgm5KuAZ4A3gnJwujAHRFxBUmX9FXAw5IeTH/vxoi4t4R4+y4iOpKOLVpaAe6MdNHS9Pjt\n",
       "EXGPpA3poqXTwAdKDLl0WXIGfAr4c+ALaa9bOyIuKSvmMmXMl/XI+L3cJele4GGgS3JNG8mCMuPf\n",
       "2GeAr0p6iKSj4xMR8UxpQZdM0teBy4CVkvYAnyaZRuHr/hwWyhm+7hfOC5ubmZmZWS5lDnmbmZmZ\n",
       "2RLggtLMzMzMcnFBaWZmZma5uKA0MzMzs1xcUJqZmZlZLi4ozczMzCwXF5RmZmZmlosLSjMzMzPL\n",
       "5f8BCcKxYrfvrcYAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1073b4dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is also a function for plotting the assignment probability for a given GP directly. Since we haven't optimized the mixture parameters yet the assignment probability is just a random draw from the prior."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAtQAAAFrCAYAAADxWR7NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3X+8JGdd4PvPN5MYgxrDTHwFTaKBgF5FUIKEKKwMQjIx\n",
       "+xIEdnFxWRC9ynrNRja5ArIoee0K4l3Izc3iQgyRRFhl5UeW4JJkchdHXRYJEAgsDkiEsEm4gEyA\n",
       "QICYkO/9o/owPWf69Knurup6qurzfr36Naf79On5dnX1U9/nW8/zVGQmkiRJkpZzRNcBSJIkSX1m\n",
       "Qi1JkiStwIRakiRJWoEJtSRJkrQCE2pJkiRpBSbUkiRJ0gqO7DqAOiLCtf0kSZK0FpkZizy/Fwk1\n",
       "LP7G1JyIuDAzL+w6jjFy23fL7d8tt3933Pbdcvt3a5lCrkM+JEmSpBWYUEuSJEkrMKFWHfu6DmDE\n",
       "9nUdwMjt6zqAkdvXdQAjtq/rAEZuX9cBaDGRWf58v4hIx1BLkiSpbcvknVaoJUmSpBWYUEuSJEkr\n",
       "MKGWJEmSVmBCLUmSJK3AhFqSJElagQm1JEmStAITakmSJGkFJtSSJEnSCkyoJUmSpBWYUEuSJEkr\n",
       "MKGWJEmSVmBCLUmSJK3AhFqSJElagQm1JEmStAITakmSJGkFJtSSJEnSCkyoJUmSpBW0mlBHxB9G\n",
       "xGcj4sNznnNJRHw8Im6KiEe0GY8kSZLUtLYr1K8Dzt7qlxFxDvDgzHwI8CvAq1uOR5IkSWpUqwl1\n",
       "Zv4V8IU5T3kScOXkue8BjouIE9qMSZIkSWpS12OoTwRunbp/G3BSR7FIkiRJC+s6oQaITfezkygk\n",
       "SZKkJRzZ8f9/O3Dy1P2TJo8dJiIunLq7LzP3tReWJEmSxiAidgO7V3qNzHYLwhFxCvD2zHzYjN+d\n",
       "A5ybmedExBnAxZl5xoznZWZurmRLkiRJjVom72y1Qh0RfwI8Djg+Im4FXgIcBZCZl2bmOyLinIi4\n",
       "GbgLeE6b8UiSJElNa71C3QQr1JIkSVqHZfLOEiYlSkWJiD0Ru/ZWt9jTdTySJKlsVqilKVUCfexV\n",
       "cMkx1SPnfQ3ufEpmXtdtZJIkaR2KG0Mt9c/OC+CiY+DZGw8cA+dfAJhQS5KkmRzyIUmSZnIInFSP\n",
       "Qz6kKQ75kKSK7aHGapm804Rajaka350XVPfueGVfG91V38dQtoOkcYvYtRcuOvPgELgrgfOvzzxw\n",
       "VpdxSW1zDLU6c7CScdFGJeOxETG6SobbQZKk8TGhVkOGMZlv9YR4GNtBkuCOV8J5jwWmh3y8stOQ\n",
       "pEKZUEuHMCGWJIDMvC4injJpA4E7HcImbcGEWg2xklFxO0gajkkCbRItbcNJiWrMECbjNTGrfQjb\n",
       "QZKksXKVD6kBJsSSJI2XCbUkSZK0gmXyTq+UKElTvDKcJGlRJtRSS0zM+mdq2cQzq9uxV/nZSeNj\n",
       "+61FucqH5nI88XK8wEtfuWyi1GdNHLNsv7UME2ptyUZlFSZmUtvs8Gtac8cs228tzoRac9ioaGxc\n",
       "R7wvhtbht3PQBI9Z6o4JtVbiQWArJmYlWHT/9MpwfTKc5GmVzoFtcBtsv7U4E2rNMb9RGVqFqEkm\n",
       "Zt1bdv/0ynBav+U6B7bBmzWTCNt+axkm1NrS9o3KcCpEbTAx65r757BZRXQfP9SMY9Y+2HlBxK4L\n",
       "Fq3e235rUSbUmstGRVKJhlVFtHPQlI1jltV7rZtXStTSDjZYl0wfBGywVAT3z/5wHPBy22Ds+/i8\n",
       "bRaxa2+1lvxG9f5K4PzrMw+ctf5I1Tdeelxr16cDYZ9iVTP8zMuz+TOp/h1vUriqse7j23UmTKi1\n",
       "ChNqaQtjr+RIJZj9PTxiP1x8molPv607sd8uYbbN1yqWyTsdQ62RcPJOG8ZaHdOyZn4Pv6/LiLS6\n",
       "EscrD2uMvfrAhFrSUko8iKqP7v4UnHc/nJDXY10ULLafyOmkeq2TCbVGwln0zdv+IGoFu3zr/Yxm\n",
       "fQ/velH18zgqiX4nmmEFWqUxoVbvLHNAsvFdPyvY5Vv3Z7TN93Dw+8VwvxPdFCysQKskTkpUrzjR\n",
       "pBxDm2U/xsph3z6jvhvy9h7j90fD5aREjYCTC0sxpKr/cCuH0npYLdbYmVBLWtr8g2ifxq2PtaPW\n",
       "p89oCNzebbA6rhKYUKtnPCD1xZAq2EPlZ7Rebu/meXZJpXAMtXrHaoSa5th8qZ+GPC5d3XEMtdam\n",
       "y6S2pLF6JvfDYOVQY2Y7Jq3OCrUWZjWv4nZojwd4aT363o71PX6VyQq11mSxCVzDTY7GOpGtXY6J\n",
       "lNapnXZsXe2+Z5dUChNqLenDwNMmPz9wy2cNITkaboegVHZUpD7r4oJB2D6oYybUWsId++CyM+GS\n",
       "yf3zgDv3zX5uv5Oj+QcGVxzR6uywqVtttGP9bvelZZhQawk7d8NFTDWWwPm7gZd1Ek6rtj4weKqx\n",
       "LePpqAzhDI5W03WHynZMaoYJtVo27OTIU43NG9cBfniVvK4TxD4ppUPVfDs27HZfmsWEWkuo31j2\n",
       "PznywNAFOyr9VEqC2B/D61DBENp9aXEm1FrYoo3lOpOjpqtjHhjUrqF12IaZIGpxdoo1NibUWspG\n",
       "Y7mRwEbsuqDr07ttVcc8MKgtdtjGbmgdKmm8vLCLllbagvpeglbqVmltQumq7XXcy+CI74O7PwV3\n",
       "vajUbeXY+Ha4XcvkhV20Zp7ebZINq/rOint9BzsfF290Pu7XbURbc2x8O9yuw2JCrQHp7+lTG1YN\n",
       "hUOk6upTQaJPsfaJ23VIWk2oI+Js4GJgB/DazPy9Tb8/HngD8IBJLK/IzCvajElNKiuB7Xd1zIZV\n",
       "6jPPMEnj1lpCHRE7gFcBTwRuB94bEVdn5v6pp50LfCAzf3OSXH8sIt6Qmfe2FZeaU2ICa3VM0rot\n",
       "d4aprILEfH2KtU/crkPS2qTEiPhx4CWZefbk/gsBMvPlU895LvDwzPy1iHgQcG1mfv+M13JSogbN\n",
       "yVxSfy07IbpPVe0+xdonbtcylTYp8UTg1qn7twGP3vScy4B3RsSnge8Ant5iPFKxSqz2S2pXn86o\n",
       "9SlWqQttJtR1St8vAj6Ymbsj4lTg+oj4kcz8cotxSUXygCX1lafudVDdqrOT0YelzYT6duDkqfsn\n",
       "U1Wpp/0E8FKAzPy7iPgk8APA+za/WERcOHV3X2buazJYSZKW4Rmm9vRtSMRiSbKT0UsREbuB3au8\n",
       "RpsJ9fuAh0TEKcCngZ8DnrHpOR+lmrT4rog4gSqZ/sSsF8vMC9sKVFL7+nZgHBs/n9V4hql5/azg\n",
       "miT30aRIu2/jfkS8ZNHXaC2hzsx7I+Jcqp1oB3B5Zu6fTEQkMy8FXga8LiJuAo4Anp+Zd7QVk6Ru\n",
       "9PPAOB5+PirT+pPTrTqW7XQ4HSo0JK2uQ52Z1wDXbHrs0qmfPw/8TJsxqH+slA2RVZuy+flIW3Us\n",
       "q5/rdjjrJ8kOFRoWr5Soolgpk/rDzq/ate4K7pYdS+p2OBdNkh0qNBwm1CqMlbJh8tRmKWYnwYt/\n",
       "PnZ+1ba+VnBNksfJhFpS6/p6YByaeUnw4p+PnV+1b73J6byOpQUBzWdCrcJYyeyDZU71W7UpwdZJ\n",
       "sJ+Pxupge7YTuON34Pzd1W/unJ6U2EpBwGFTw2FCrZU03RhYySyfp/pVsfOr/pvVnsEdh7VnbXQ4\n",
       "bUuHJTLrXNCwW8tcU13tO9gYXDJ9QLUxGLiIXXvhojMPVjmvBM6/PvPAWV3GtawxVYia/s6Oadtp\n",
       "mLpsz4bWlg7JMnmnFWqtwDGU6rexVYiaPgPkMJHt2emQxsGEWtKChnSqv91OYYnJlEnw+oytw9ZP\n",
       "XbZnQ2pLZUKtFdgYjJHj3OsxmdJYz+KV2JHcSpftmW3psJhQa2k2BuM1nCpnm53CcSZTGrc+diS7\n",
       "bM+G05Zq24Q6Is4DXp+ZX1hDPOoZGwP1qRq1mZ1CtWuMZ/HsSGqc6lSoTwDeGxE3An9ItV5p+UuD\n",
       "SGpdH6tRm7XXKRxjMqVpdtik8ai1bF5EHAGcBfwC8GPAnwKXZ+bftRrdwf/fZfOkiZIqwi77NF9J\n",
       "n5W0Di6nqiFobdm8zLwvIj4DfBb4BnB/4M0R8f9m5m8sHqqkZQyhIjwmDokqix2c9lmV11htW6GO\n",
       "iF8HngUcAF4LXJWZ90yq1h/PzFNbD9IKtQSUVxG2GqW+cF+VVFdbFeqdwFMz81PTD06q1j+zyH8m\n",
       "qVzLVO+sRqk/FpssZzVb0iLqJNSnbk6mI+L1mfkvMvNvWopL0kztTHRbZSiJwxo0NA6tkrSoOgn1\n",
       "Q6fvRMSRwCPbCUfSPO1VhF3qSkN3xyvhvJ8Ejq7un3f31p1Rvw+SFnPEVr+IiBdFxJeBh0XElzdu\n",
       "wOeAq9cWoSQiYk/Err3VGGrIPHBWdbNiJtV3L/Caye3eRl5x+rtZVbY1j9tLQ1VnUuLLM/OFa4pn\n",
       "qxiclKjRWsdkKidsaegWmdBb9/vg92Yxbi/1RaOTEiPif8vMjwJviojTNv8+M29cIkZJC2v/9LOT\n",
       "C1WSricE1v8+ODRkMW4vDde8MdQXAL8MvBKYVcZ+fCsRSeqEkwtVgvYmBC42odfvg6RF1LpSYtcc\n",
       "8tGdritF8jSpxqXNtdabbs/8bi7G7aW+aHrIx9OYXZkGIDPfush/pP5x6agyOBxDakbTVWe/m4tx\n",
       "e2nItqxQR8QVzE+on9NSTLNisULdgdKuyidp+KxiSupaoxXqzPyFlSOSJGkBVjEl9dG8CvUzM/MN\n",
       "EXEBVaU6pv/NzIvWFqQV6k5YKZIkSWPTaIUa+LbJv9/BoUM/gjlDQTQcVoqk/nEisbrgfqexc5UP\n",
       "SY3wgNo9zyqpC+53Gppl8s4tLz0+9aKnRsTbI+LzEfH3EfG2iHjQ8mFKGpqpFWHOrG7HXuVlhbuw\n",
       "84IqqXk21e2SYw52crpX6mWnS42rP8re76R12DahBv4Y+FPgu4HvAd4E/EmbQUnqm24PqCZE5Su1\n",
       "01VqXItw/5e6N28M9YZjMvP1U/ffEBG/0VZAkrQI10ufttjVANer1MtOlxpXPWXs/yXvd9J6zLuw\n",
       "y06qCYjXRMRvcrAq/XPANWuITVJvdHlA7XdC1CQnEo9R9/u/+500v0J9I4eu5vErk383Vvl4YVtB\n",
       "SeqXsR9Qm5yQueprNX01wOaUWsUsNa5+KXe/k9bDVT4k9VrXKww0+f93/V7aVupKME3F1cX7G/o+\n",
       "I3VhmbyzVkIdET8M/BDwrRuPZeYfLRzhkkyopWFoK+HoMlGL2LW3msy2ccr9SuD86zMPnNXla2m9\n",
       "ukxsS+2oSH3V9IVdNl70QuBxwEOB/wr8NPDfgbUl1JL6r83JU55uVve6G8vs/r8YOyBqQ51VPv4J\n",
       "8CPAjZn5nIg4AfhP7YYlqU/qHaC6nzzVjibH4DqeV2pTGauiaIjqJNRfy8xvRMS9EfGdwOeAk1uO\n",
       "S1JPjP0A1eSEzLFP7uw3O0P9MNSOvbpWJ6F+b0TcH7gMeB9wF/A/Wo1KUo/UPUANN+Fo8pS7p+/7\n",
       "yc6QNG7bJtSZ+X9MfnxNRFwLHJuZH2o3LElDY8KhobMz1Adlduwd191/267yEREBPBV4LNX603+V\n",
       "mVetIbbpGFzlQyqUy3ZJmlZ6clhafLah5Wll2byIeDVwKtWVEgN4OvCJqcp160yo+6m0RmtaybH1\n",
       "kdtTXXHfK4vJ4eJcLrM8rSybBzwe+KHMvG/yn1wB/M3i4WlMSp6oVnJsfeWpbnXB73KJnPSncaqT\n",
       "UN8MfC9wy+T+904ek+Zot1FdrSplgy8Ng99lDUGZ47q1mC0T6oh4++TH7wD2R8QNVGOoTwfeu4bY\n",
       "NEBNnJ61KiWN0+b2A3Z2G5BmMDlclBO2h2HLMdQRsXvTQxtPDCAz8y9ajGtzLI6h7pktxtH9Dhz7\n",
       "4lXH1q063swxfstzvKq60mabombZTqjvGh1DnZn7pl74AcCjqJLqGzLzczUDOhu4GNgBvDYzf2/G\n",
       "c3YD/zdwFPD5zNxdP3yValaPu5TTs1YDluOZAXVrZvuxG+4YzXe5L4mqcyo0RtuOoY6IpwP/Htio\n",
       "SL8qIn4jM9+0zd/tAF4FPBG4neoCMVdn5v6p5xwH/D6wJzNvi4jjl3wfKtDmRjVi1wXNvPLqpxRt\n",
       "8JdRRodoFX1JSFTfWL7LdmilstWZlPhi4FEbVemI+C7gvwFzE2qqsdY3Z+Ytk797I/BkYP/Uc34e\n",
       "eEtm3gaQmZ9fKHr1TDNj66wwaxkmJH039rG5/e/QSkNWJ6EO4O+n7h+YPLadE4Fbp+7fBjx603Me\n",
       "AhwVEX9ONfnx/8nM19d4bfVQk4nwqlUpK5XL6HtCY0LSZ3akJZWsTkJ9LXBdRPwxVSL9c8A1Nf5u\n",
       "/hVjKkcBpwFPAO4HvDsi/jozP775iRFx4dTdfdNjvFWuLRLXQq5KZaVyESY06loJ7Ud3+t6hlco1\n",
       "mc+3e6XXmHelxMllx0+mmpD4mMnDtS49HhFnABdm5tmT+78J3Dc9MTEiXgAck5kXTu6/Frg2M9+8\n",
       "6bVc5aOHSl1Nw6tSjVOp+6NUl2fWpPVo60qJ78jMHwbesmA87wMeEhGnAJ+mqmw/Y9Nz3kY1yXEH\n",
       "cDTVkJCLFvx/VCxPsatSQiJghV19t12FvoTvmTRWcxPqzMyIeH9EnJ6ZNyzywpl5b0ScS/Xl3wFc\n",
       "npn7I+K5k99fmpkfjYhrgQ8B9wGXZaaXNVfLPHW6TiUNsRn3kAEN2bzvmYm21L65Qz4AIuJjwIOB\n",
       "TwF3TR7OzHx4y7FNx+CQjx4q+RS7B5j1cYjNePk9W5+tvmdVAWGxdngsn9tY3qcW19aQjz2Tf6ev\n",
       "lChtq+RT7H2vVC56IPDAoXUr6czEuC029G4sn9tY3qfWZ9uEOjNviYhHAo+lGpbxrsy8sfXINAh9\n",
       "T1xLtOiBoPsDh0Nsxmn9cyjG3XHc6nu2sT3qGsvcl7G8T61LnSsl/jbwT4G3UlWnXxcRb87Mf9d2\n",
       "cJJmWfRA0O2Bo+QzFUM2tuSy+45jt7b6nlWLddmhldpWZ8jHM4GHZ+bXASLid4GbABNqSbV4pqJ9\n",
       "mxLo2+G4Z8H3H1GteHpZB8nlus9MWHGc9T1bvEM7ljNKy73PsXVUVV+dhPp2qh3u65P730p11UNJ\n",
       "nVj0QDCWA+R4HVqd/TBwGXDx5LcvAH75GHjdWpNLz0yUY5EO7Vg+t2Xe59jPgmi+Oqt8vI3qwi57\n",
       "Jw+dCdxAlVRnZp7XaoS4yoe0mZMSNe3QFR6eBjyJQ1d7eA3wt4NeWaXkVYU0DK5YNB5trfJx1eQG\n",
       "1Uof+yb/BvUuLy6pYYsOoXDIxdh99D744qDPSoylslqHHejFuc20qm0r1CWwQi1JWzu0Orsx5OOS\n",
       "yW/Puw/u/K3MfFmHIWpNrNQvru42c9uOxzJ5pwm1JA3ApgrbPti5e/Kz1bYRcVjC4hbZZlayx6Gt\n",
       "IR+SpMLNGNZjRVoT9+2qkkYwCVyNw+e0lTqTEv9pZr5pu8faZIVakqTtzRiWcDfcC/zHoyf3Haaw\n",
       "iUM5tFkrQz4i4gOZ+YjtHmuTCbWmecpta26bbrW5/f1sVdeh+8rdu+D3T3MIyHx+vzSt0SEfEfHT\n",
       "wDnAiRFxCdWqHgDfAdyzdJTSClwHdGtum261uf39bLWI6WEJB4d6aB6HcmhV88ZQfxp4P/Dkyb8b\n",
       "CfWdwL9uOS5pC14NbWtum261uf39bMemuYppcxd2soorbW3LhDozbwJuioj/lJlWpKUVeTCSVEeT\n",
       "ZySaWp/bsyTSfHVW+Xh0RLwEOGXq+ZmZD2otKmlL/byM9noORv3cNsPR5vb3sx2XZs9INDOcwbMk\n",
       "0jx1EurLgecBNwLfaDccab7+Xg2t/YNRf7fNMLS5/f1sl+eZIUnrUCeh/mJmXtN6JFJNTh7Zmtum\n",
       "W21ufz/bxfV3mEKJZyS2j8nOi8aszrJ5Lwd2AG8F7t54PDNvbDe0Q2Jw2Tz1muucSuvX56sGlpic\n",
       "zovJNk5D0taVEs8AEvixTY8/fpH/SBozT9lLWkSJZyTmx+QYa43btgl1Zu5eQxzS4NU9QJZYmZL6\n",
       "qcShE5KGqM6QjwcALwVOzMyzI+KHgB/PzMvXEeAkBod8jNAYE0tPm2pISvgOlxDDGNh2aUjauvT4\n",
       "tcDrgH+TmQ+PiKOAD2TmDy8f6mJMqMdnrI1zn8d8ar1KTxTH+h0es9L3SamutsZQH5+Z/zkiXgiQ\n",
       "mfdExL1LRSjV5ng8aSv9WL3C7/DYLDLu2+RbQ1Mnof5KROzauBMRZwBfai8kacwc86k6TFbVX/3o\n",
       "EEqLqZNQXwC8HXhQRPwP4LuAf9JqVNJIE0tXA9FwlPcdtipaCjuEGp46q3y8PyIeB3w/EMDHMvOe\n",
       "1iPTqI05sSxxuaw+GUfSVF6yullp32GropLaVGdS4pHAPwZO4WACnpl5UbuhHRKDkxIlbWtME+E2\n",
       "dxyqf4fekVieE37LMabvqfqprUmJbwe+BnwYuG+ZwCRpPcZzKnn6TIbVV/VJaWcvpCbUSahPzMyH\n",
       "tx6JJGlJ4+lILK/8YTJjMmto2ziGa2mo6iTUeyNijzu2VD4PSCZNms2qaNk8y6K+qzOG+qnAG4Aj\n",
       "gI3JiJmZx7Yc23QMjqEegFnJnglgcxyXWBnjPuVnrz469Lt69y74/dMc464StDWG+iLgDOB/ZqZj\n",
       "qLWULaoPvwPHvtiKRFM87Q/jXCXF6mu3xtiJ285W2+Tg43fvgmMfChcdXT3nvPuqqVpSP9VJqP8X\n",
       "8BGTaa1mZrJ3vgmg1IwxdiRK4FCFw221TaqfNx5/DfAvmWr/j4Dn3QcPO2LyN98crmWHRX1QJ6H+\n",
       "JPDnEXEN8A+Tx9a6bJ40ZvUPJu2MH/ZgJs3jmaHDbblNOPj41bP+8INw/oHqxzunhgXaYVH56ibU\n",
       "nwS+ZXILYP7Aa+kwM5O9i+C8F+MEsi0tcjBp47R/Uwczk/L1cnurfL8CPHPq/nlfgztfdPi+aodF\n",
       "/VDnSokXriEODdjUmLn98DzgiANT1Yf3w/NeBkd8H3zjU13HWp7FDibNn/Zf/WBmhWm93N7r5soy\n",
       "h5u3TaYf/+rd8LyPTB8TuohWasK2CXVE/ADwf3L4lRJ/qsW4NBAzDu5fgy9uOrjf94Nw8THALjjv\n",
       "Kg/+QzM7KY8IrKK2wYreOjkh9HDztsmhj3/1lZl3bbOt7LCoH+oM+XgT8GrgtcA3Jo855EM1bXdw\n",
       "9+A/X9cHk7b+/7t3WUXVUDgh9HBbbZNFt5UdFvVFnYT6nsx8deuRSDpM1weTZv7/WUn5UVRnJexI\n",
       "Na/rTpjULDss6oM6CfXbI+LXgLcCd288mJl3tBaVBmS7g3v7B/9SJmgtG0edg0mb73HVg9mspPxg\n",
       "rIcr5fPqq647YaVxf5K0DnWulHgLM4Z4ZOYDW4ppVgxeKbHHtjugtXnAK+UKcm3GUcp7XMRWMVc/\n",
       "9+u9qFx9/G5I6t5SeWdmFn+rwuw+Dm+dfPZ7YOfe6saexf9+5164IiEntysSdu5d//toL45S3mMT\n",
       "n21f34u3Mm992J9WbeO8efPW/G2ZvLPOKh9P4/AK9ZeAD2fm5xbK3qUFuPzXsOUKQ0k8ja8hGHIb\n",
       "53dUo1MjS/+vwB3AW6jGUR8ArgduBp5Vak/BW/9vTVSXgD1w7Ferv70iq5/XXwVqM45S3uO63suQ\n",
       "3q+3dm+l7yt9qKAPcbt787bdbZm8s86kxKOAH8zMzwJExAnA64FHA38J/NFyqbzUvixkgtaicSxS\n",
       "3Vnne2y76lTvvbjUoupZ13fDauxmfkc1PnUS6pM3kumJz00eOxAR/zDvDyPibOBiYAfw2sz8vS2e\n",
       "9yjg3cDTM/Ot9ULX8DWzAkgWsuRS3TiWOQ28jve4rtPTpXxepTOJq6ft/Wm174VLHI6R392BqlH2\n",
       "/o9Uwz6eDfwC8HaqC718G/Dnc/5uB9WwkFOoqtwfpKp0z3reO4E/A57WVOnd2zBujHDCTqmngUuJ\n",
       "C08nz9gG9/s6HPf+Ur8nQ/4er/q9GOK28Tvqtun7bZm8s06F+lzgqcBjqSYnXgm8Jav/8fFz/u50\n",
       "4ObMvAUgIt4IPBnYv+l5/wp4M/CoGrFoZNJqpTbJQobxdGv6lPp1wP2OhlecVv2urIltQ55414Qh\n",
       "tnFj/I7Wrzo7HGaotk2oM/M+qoT3zQu+9onArVP3b6Mad/1NEXEiVZL9U1QJtZc0l4o9DVxOXENM\n",
       "Qpb3B8ArKPcAPfQEopzvRUnG9B210yiYk1BHxLsy8zER8RUOT3QzM4/d5rXrJMcXAy/MzIyIALx4\n",
       "i0av1OpOqXENweJjKqeTuE+3Hl9pShqD6vdCi3Ua7YAN1ZYJdWY+ZvLvty/52rcDJ0/dP5mqSj3t\n",
       "kcAbq1ya44Gfjoh7MvPqzS8WERdO3d2XmfuWjEsqXqnVnVLj6rNlJ6EeTOLu3gXnPRQ4evL3Cx+g\n",
       "201Qm00gSqwG+r1QXXbAyhQRu4HdK73GZPD1vP/kVOD2zPx6RDweeBjwR5n5xW3+7kjgY8ATqEoo\n",
       "NwDPyMzNY6g3nv864O05Y5UPLz0uaagidu2Fi848WN26Ejj/+swDZ9V/jeUT4nVcnnv1+A7+7aQa\n",
       "uNL2GquSKvtD4iXuh2eZvLPOpMS3Ao+MiAcDlwJvA/4YOGfeH2XmvRFxLlWvfQdweWbuj4jnTn5/\n",
       "6SKBSpJmW61COvt0dXXmsJnka9n4ZlWj4b6ZRRnNV2JlfyisOgvqJdT3TZLjpwL/ITP/Q0R8oM6L\n",
       "Z+Y1wDWbHpuZSGfmc+q8piQNS4ljKu/eVUbyNSvZ/zWqbVTS9uqDoU8ObcayVXyH/ahOQv0PEfHz\n",
       "wLOAn5lMHjyq3bAkaRy6r27NSuiPAi4uNPk6+gDcYTVQjbOKr1XUSah/EXgu8NLM/GREPJDq0uOS\n",
       "pBkWrXJ1Wd2aldAfjL1rs6v3VgOXUeKZkNJYxdfytp2UeMiTI3YCJ2Xmh9oLaeb/66RESb0whAlK\n",
       "W72H6uf1TmpzIl1z1r0t+/bZNTFBWMOwTN5ZZ5WPvwB+hqqa/X7g74F3Zea/XjbQRZlQS+qLoRyU\n",
       "D19dA/reURirLhLbPnYs+xiz2tHWKh/fmZl3RsT/TrVc3ksi4sPLhShJ6oPNwyomHQVPh/dMd+OC\n",
       "+zd8ovtI+rM8AAATHUlEQVT5DOqzOgn1joj4buDpwIsnj3mJcEmaybGqKkn/EtsuOT5fy6qTUP9b\n",
       "qp3rXZl5w+RCLx9vNyxJ6qfhVrnsKGgR7i8al4UmJXbFMdSS1L2+TTJTt+OC29pf3A/VtrYmJR4D\n",
       "/BLwQ3yzp0lm5i8uFeUSTKg1Zh48JK1iSG2IEwe1DsvknUfUeM7rgROAs4F9wEnAVxaOTtLCpiYU\n",
       "nVndjr2qekwaj4jYE7Frb3Vz/19UZl6XeeCs6tb3xHPnBVUy/Wyq2yXHzFs33X1H61InoX5wZv4W\n",
       "8JXMvBI4B3h0u2FJqix28CiNBzOtyk6l6pjV1rjvaJ1qXXp88u+XIuJhwGeA72ovJElD4GV81QxX\n",
       "qdC0mZMd981qa9x3tE51EurLJldIfDFwNfDtwG+1GpWkiT7PlPdgJqlZs1bRmdPWSGuzbUKdmZdN\n",
       "fvwL4IHthiNp2nCXYJMOtfXEuT53KtWGGRcd2iJ5dt/R+rhsnqRWOBtfdW23rwxplQo1b97+476j\n",
       "ZbSybF4JTKilfvJgpjomlzU/8+Ap+yuB86/PPHBWl3GpfAfbmLt3wVHAEQdsa7SqZfLOOmOoJWkp\n",
       "XsZXUltmTHz+GnzRs2DqxNyEOiKOo1p/+sTJQ7cB12XmF9sOTJpmpVMaMse6ahlOfFY5tlyHOiKe\n",
       "Bbwf2E3VyB0D/BRwY0Q8e6u/k5rmWqLSsFUd5DufAudfX90ca6/hcD3+cdhyDHVE/C1w+uZqdETc\n",
       "H7ghMx+yhvg2/k/HUI+Y4yslSZv1YeJzH2LU4dY1hrr8WYySJGnQ+rGsqMNSxmJeQv1S4P0RsZdq\n",
       "7DTAycBZwL9rOzDpIMdXSpIO58RnlWLusnmTKyTuAb5n8tDtVJMSv7CG2KbjcMjHyDkpUZLUNw75\n",
       "6CfXoZYkSSqIBaH+MaGWNDoerOprYlu5vSUNnQm11BKTiDJ5OrW+JraV21vSGDS+ykdEPAI4FfhI\n",
       "Zu5fJTipr2ZcjeuxEWESUYT6M+jtFDWx2oArFmiYbB+0qi0T6oj4beCZVBd3+fcR8buZ+Qdri0wq\n",
       "hklE39kpkrQV2wc1YV6F+p8BP5qZX42IXVTJgwm1pILUXVLRTlEzy0/2bwlLK4/anu2DVjcvob47\n",
       "M78KkJkHImLLy5RLw9a/JGIs+nFhhzI0sa36tr2tPEpal3mXHv8S8JdTD/0j4K8mP2dmPqnl2KZj\n",
       "cVKiOmWVq9+cTDdOEbv2wkVnHqw8Xgmcf33mgbO6jEtlsX3QZk1PSnzypvvTFbnylwaRGuTVuPqt\n",
       "b5XVsbLjqi7YPqgJLpsnSepcG1VCK4+SltHoOtQR8bPASZn5qsn9G4Dvmvz6+Zn5plWCXYQJtSQN\n",
       "W1vDM6x6S1rUMnnnvImGzweunrr/LcCPAY8DfnXx8CSpXRGxJ2LX3uoWe7qOR81b9DPOzOsyD5xV\n",
       "3UymJbVj3hjqb8nM/zV1/79n5gHgQER8W8txSdJCXNGh77ZfTcfPWFKp5g35+LvMPHWL330iMx/U\n",
       "amSH/n8O+ZDWoM+nx13Rof+22//8jCWtQ9OrfLwnIn5l89URI+JfAu9ZJkBJ5bL6p665ms5sfe7o\n",
       "SmMxr0J9AvBfgLuBGycPnwZ8K/CzmfmZtUSIFWppHfpe/XNFh+Eb42c8xvcsda3RCnVmfjYifgL4\n",
       "KeChVGtP/1lmvnO1MKXhs6K0mmW2n2vJDt84P2Mviy31wbwhH2RVvv5vk5ukbVSJ4HEvg+N+FJ5z\n",
       "BDyMEodOzE5Yy7jE+ipDTxwyMHx+xpJK5IVdpIYcfmr2BVTDJj5DSUMn5p1CLqGy3vehJ1KTHPIh\n",
       "rV/TkxIlLeSwU7PAHwBP6iqgLWx9Ctnqn1SWcQ5zWZ8SiggaBhNqbcsGZxWfpquhE/1VxtATqRR2\n",
       "dNvhykZqkkM+NNdYTzcu04mYsa3ug298EO56UUnbqw+fqZ04SW1zeJm24pAPtWB8M8yXrVosc2q2\n",
       "i8SxD6eQrchJkvrEhFo6zPKdiEUSwS5PN5qwShXPhoyZw8vUnNYT6og4G7gY2AG8NjN/b9Pv/znw\n",
       "fCCALwO/mpkfajsu1WWD057xVf+lkjiGdtz6cLZO/dFqQh0RO4BXAU8EbgfeGxFXZ+b+qad9AvjJ\n",
       "zPzSJPn+A+CMNuNSfeNscOxESONgp3bsPFunprRdoT4duDkzbwGIiDcCTwa+mVBn5runnv8e4KSW\n",
       "Y9KCxtbgrK8TYeI+Zg41kKThaDuhPhG4der+bcCj5zz/l4B3tBqRVMM6OhHjrP4LHGpQDju1kprR\n",
       "dkJde02+iHg88IvAY9oLRyrL2Kr/2uBQgxJ00an1zIQ0TG0n1LcDJ0/dP5mqSn2IiHg4cBlwdmZ+\n",
       "YdYLRcSFU3f3Zea+5sKUJI3ROju1npmQyhQRu4HdK71Gmxd2iYgjgY8BT6C6ZNwNwDOmJyVGxPcC\n",
       "7wSemZl/vcXreGEXSYPRh4vrqHleSETqh+Iu7JKZ90bEuVS9/x3A5Zm5PyKeO/n9pcBvA/cHXh0R\n",
       "APdk5ultxiVJXXL8vMbI4S4aMi89LklbMAFQk5Y5MzGUfdCzMuqTZfJOE2qtZFNjvw927p783NuG\n",
       "XwITALVjkQR5SPugw13UJ8UN+dCwzZhgcyY8B3gYTrZR/7kSh5q32CRI90GpL0yotYLDGnvgauAV\n",
       "YMMvSfom1/zWsJlQS9JMJgDq2nD2QSfiaugcQ62lzRjfB/wykyEfvR3rJ20YyoQw9Zf7oLR+TkrU\n",
       "2jkpcdyaPtibPGho3Kel/jGhlkamy4N10ysQDGlFAwncp6W+WibvPKKtYCS1a2qVlTOr27FXVY+t\n",
       "y84LqkTh2VS3S445mNyX8HrrFxF7InbtrW7r/CxUpvL36bHts2N7v1ofJyVKveWSWiWZsYykS0fi\n",
       "kIeSjW2fHdv71XqZUEtaUtMrEPR9RQM7OJuZwJS+T/dvn12tg9a/96v+MKGWeqvbg3XTy2B1tayW\n",
       "FdQ2jTuBcam4ZtlBU8lMqKWeKuFgvdhV39b/ettp9gBdejVSXVj3Pr2Yvu2zq3bQ+vZ+1Scm1FKP\n",
       "lX2w7oPmKqgldHDKc8cr4byfBI6u7p93twlMOca2z47t/Wq9TKglqSF2cGa5F3jN1M8qSb/22dUr\n",
       "zP16v+oT16GWGuJY3P5xneB2RezaWy3puHEG4Erg/OszD5zVZVzqL9tZrcMyeacVaqkBfZ0sM/aD\n",
       "k6eApX4ppcI89rZTh7NCLTWgj5U4q7Nqm/uYhsj9evi8UqKkBZR/FTf1W5Vg3PkUOP/66jbcpGNI\n",
       "V+DzvWxn9bZzSNtYFYd8SI1wOSZpllJO0bepr0O+ZvG9jDcurcaEWlrQrLFz/RyLaycAHAupJgzp\n",
       "Aja+l+2t2nYOaRtrgwm1tIB5lYVFK3FdJ3L97AQ0y0qRVMtp1TyROyZJ43LtVtdtXlNsOzVTZhZ/\n",
       "q8LsPg5v3mDnXrgiISe3KxJ27l38ddgDx361+vsrsvqZPV2/v7Hdmvo8l///2VPFsHOvn39/b0P6\n",
       "Ps94LwkXbPz8dbjf15d5n11so1I/l1Lj8nbIZ5SL/o0VaqkTnvIbO6vjw5EDqlhuei+nwS/vglds\n",
       "/Pro6iI9y7Rb62/zSv1cSo1LqzGhlhbiuONh6fLztFM1JDmgyZcb76Ua5vGwM7uOZxWlfi6lxqXl\n",
       "mVBLC2iusmBiXgIrRdI8h7VTd1eXj7/y6Mn9Bdot2zwNmxd2kToylAk6Wo4Xh1AfbG6nqn/HPSlR\n",
       "w7dM3mlCLUkdMcGQpPKYUEuSJEkr8NLjUo+UfunZ0uMrndtPksbDCrXUgdLHz5YeX+ncfltzmIuk\n",
       "0i2Td7rKh9SJ0pdMKz2+0rn9ZnHtbUlDZUItSVoTOxqShsmEWupE6WuyNh/fuE71l/75SuMyrvZH\n",
       "XXAMtdSR0hv4JuMb45ji0j/fLgx9P/AzL9PQ9zs1z2XzpAkPbGWpLmF80ZkHT/VfCZx/feaBs7qM\n",
       "S+s31O+mSVu5bH+0KCclSjjxSSrZ5Hs4wO+i48OlMTOh1gB5YCuPY4oldcX2R+0zoZbUusy8LiKe\n",
       "MunYAHcO5lS/VDFpK5Xtj9bBMdQaHMcySurCUMeHS2PjpERpwgObJElahgm1JEmStIJl8s4j2gpG\n",
       "kiRJGgMTakmSJGkFJtSSJEnSCkyoJUmaEhF7InbtrW6xp+t4JJXPSYmSJE247KYkLz0uSdJKvNKq\n",
       "pMW1OuQjIs6OiI9GxMcj4gVbPOeSye9viohHtBmPJEmS1LTWKtQRsQN4FfBE4HbgvRFxdWbun3rO\n",
       "OcCDM/MhEfFo4NXAGW3FJEnSfF5CXNLi2hzycTpwc2beAhARbwSeDOyfes6TgCsBMvM9EXFcRJyQ\n",
       "mZ9tMS5JkmbKzOsi4imTYR7AnV5pVdK22kyoTwRunbp/G/DoGs85CTChliR1YpJAm0RLqq3NMdR1\n",
       "lw/ZPIuy/GVHJEmSpIk2K9S3AydP3T+ZqgI97zknTR47TERcOHV3X2buWz1ESZIkjVlE7AZ2r/Qa\n",
       "ba1DHRFHAh8DngB8GrgBeMaMSYnnZuY5EXEGcHFmHjYp0XWoJUmStA5FrUOdmfdGxLlU49B2AJdn\n",
       "5v6IeO7k95dm5jsi4pyIuBm4C3hOW/FIkiRJbfBKiZIkSdLEMnlnqxd2kSRJkobOhFqSJElagQm1\n",
       "JEmStAITakmSJGkFJtSSJEnSCkyoJUmSpBWYUEuSJEkrMKGWJEmSVmBCLUmSJK3AhFqSJElagQm1\n",
       "JEmStAITakmSJGkFJtSSJEnSCkyoJUmSpBWYUEuSJEkrMKGWJEmSVmBCLUmSJK3AhFqSJElagQm1\n",
       "JEmStAITakmSJGkFJtTaVkTs7jqGsXLbd8vt3y23f3fc9t1y+/ePCbXq2N11ACO2u+sARm531wGM\n",
       "3O6uAxix3V0HMHK7uw5AizGhliRJklZgQi1JkiStIDKz6xi2FRHlBylJkqRByMxY5Pm9SKglSZKk\n",
       "UjnkQ5IkSVqBCbUkSZK0giIT6ojYGRHXR8TfRsTeiDhuxnNOjog/j4iPRMT/jIjzuoh1KCLi7Ij4\n",
       "aER8PCJesMVzLpn8/qaIeMS6Yxyy7bZ/RPzzyXb/UES8KyIe3kWcQ1Vn/58871ERcW9EPHWd8Q1Z\n",
       "zbZnd0R8YNLW71tziINWo+05PiKujYgPTrb/L3QQ5iBFxB9GxGcj4sNznuNxtyXbbf+Fj7uZWdwN\n",
       "+L+A509+fgHw8hnPeQDwo5Ofvx34GPCDXcfexxuwA7gZOAU4Cvjg5m0JnAO8Y/Lzo4G/7jruodxq\n",
       "bv8fB75z8vPZbv/1bv+p570T+DPgaV3HPYRbzX3/OOAjwEmT+8d3HfdQbjW3/4XA725se+AAcGTX\n",
       "sQ/hBvwj4BHAh7f4vcfdbrf/QsfdIivUwJOAKyc/Xwn87OYnZOZnMvODk5+/AuwHvmdtEQ7L6cDN\n",
       "mXlLZt4DvBF48qbnfPMzycz3AMdFxAnrDXOwtt3+mfnuzPzS5O57gJPWHOOQ1dn/Af4V8Gbg79cZ\n",
       "3MDV2fY/D7wlM28DyMzPrznGIauz/f8/4NjJz8cCBzLz3jXGOFiZ+VfAF+Y8xeNui7bb/osed0tN\n",
       "qE/IzM9Ofv4sMHcHiohTqHoZ72k3rME6Ebh16v5tk8e2e45JXTPqbP9pvwS8o9WIxmXb7R8RJ1Il\n",
       "Gq+ePOTySM2os+8/BNg5GeL3voj4F2uLbvjqbP/LgIdGxKeBm4BfX1Ns8rhbkm2Pu0euKZDDRMT1\n",
       "VMM2Nvs303cyM+etQx0R305VNfr1SaVai6ubHGxek9Gkohm1t2NEPB74ReAx7YUzOnW2/8XACyft\n",
       "UXD4d0HLqbPtjwJOA54A3A94d0T8dWZ+vNXIxqHO9n8R8MHM3B0RpwLXR8SPZOaXW45NFY+7Hat7\n",
       "3O0soc7MM7f63WSQ+AMy8zMR8d3A57Z43lHAW4A3ZOZ/aSnUMbgdOHnq/slUPeF5zzlp8phWV2f7\n",
       "M5kQcRlwdmbOO02oxdTZ/o8E3ljl0hwP/HRE3JOZV68nxMGqs+1vBT6fmV8DvhYRfwn8CGBCvbo6\n",
       "2/8ngJcCZObfRcQngR8A3reWCMfN427HFjnuljrk42rg2ZOfnw0clixPqkSXA3+TmRevMbYheh/w\n",
       "kIg4JSK+Bfg5qs9g2tXAswAi4gzgi1PDcrSabbd/RHwv8FbgmZl5cwcxDtm22z8zH5SZD8zMB1Kd\n",
       "EftVk+lG1Gl73gY8NiJ2RMT9qCZn/c2a4xyqOtv/o8ATASbjd38A+MRaoxwvj7sdWvS421mFehsv\n",
       "B/40In4JuAV4OkBEfA9wWWb+Y6rS+zOBD0XEByZ/95uZeW0H8fZaZt4bEecC11HN+r48M/dHxHMn\n",
       "v780M98REedExM3AXcBzOgx5UOpsf+C3gfsDr55USe/JzNO7inlIam5/taBm2/PRiLgW+BBwH9Ux\n",
       "wIS6ATX3/ZcBr4uIm6iKcM/PzDs6C3pAIuJPgMcBx0fErcBLqIY4edxdg+22Pwsed730uCRJkrSC\n",
       "Uod8SJIkSb1gQi1JkiStwIRakiRJWoEJtSRJkrQCE2pJkiRpBSbUkiRJ0gpMqCVJkqQVmFBLkiRJ\n",
       "K/j/Aeg8w7Joy7bLAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10864b110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m.plot_probs(gp_num=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can first performa a quick optimization to find the rough trends."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 20 bound=1106.26056208 grad=179.192598532, beta=0.631240148582 maxiter exceeded\n"
     ]
    }
   ],
   "source": [
    "m.optimize(step_length=0.01, maxiter=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAApQAAAFwCAYAAAAG8us1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd83VX9x/HX5+6Re7N3072hFAotZRcVLEOKgBQEBFTA\n",
       "gchPNshQhgxxAA5kiawCioLKEJDKHqVllZbukTRt2mYnd9/z++PeQAgdSe69uTfp5/l45JF87/1+\n",
       "z/fcJO1950wxxqCUUkoppVR/WbJdAaWUUkopNbhpoFRKKaWUUinRQKmUUkoppVKigVIppZRSSqVE\n",
       "A6VSSimllEqJBkqllFJKKZWSlAOliNwrIptE5MPtPH+KiLwvIh+IyGsiskeq91RKKaWU2pXtLH8l\n",
       "z7lNRJYnc9hemaxPOloo7wNm7+D5VcDBxpg9gGuBP6XhnkoppZRSu7Id5i8RORIYa4wZB5wN/CGT\n",
       "lUk5UBpjXgGadvD8G8aYluThW8CwVO+plFJKKbUr21n+Ao4B7k+e+xZQICLlmarPQI+h/A7w9ADf\n",
       "UymllFJqV1MNrO92XEsGG/VsmSq4JxE5FPg2cMBA3VMppZRSahcmPY4ztt/2gATK5EScu4DZxpht\n",
       "Ns+KiG4qrpRSSqm0M8b0DFYDKl0Zp4+vow6o6XY8LPlYRmQ8UIrIcOAJ4FRjzIodnZvtH/hgIiLX\n",
       "GGOuyXY9BhP9nvWNfr/6Tr9nfaPfr77T71nf5UqDlX3PM1O6PvLefX295CngXGCeiMwEmo0xm1Kq\n",
       "xA6kHChF5BHgEKBERNYDVwN2AGPMncBVQCHwBxEBiBhjZqR6X6WUUkqpwUIs1vSWt5P8ZYx5WkSO\n",
       "FJEVQAeQWqLdiZQDpTHm5J08/13gu6neRymllFJqsEp3oNxZ/kqec25ab7oDAzYpR6Xd/GxXYBCa\n",
       "n+0KDDLzs12BQWh+tiswyMzPdgUGofnZroDqn3QHylwjxuTE0AJExOgYSqWUUkqlUy7kCxExrhk/\n",
       "SKmM4Nu/z+m5JtpCqZRSSimVYUO9hVIDpVJKKaVUholVA6VSSimllEqBZYi3UA701otKKaWUUmqI\n",
       "0RZKpZRSSqkM0zGUSimllFIqJRoolVJKKaVUSsQytEcZDu1Xp5RSSimlMk5bKJVSSimlMky7vJVS\n",
       "SimlVEo0UCqllFJKqZRooFRKKaWUUikZ6jvl6KQcpZRSSimVEm2hVEoppZTKMO3yVkoppZRSKdFA\n",
       "qZRSSimlUmIZ4oFSx1AqpZRSOUxE3CJSJSL6nq1ylrZQKqWUUjmqTJzfnSK+y4rE7l1tOteLyNeM\n",
       "MRuzXS/Vd9rlrZRSSqkBJyL5e4rvii9bS0YCTDW+8idim+4E5mS3Zqo/NFAqpZRSKhvKysSZ33Vg\n",
       "FwtusRRks0Kq/4Z6oNTxGEoppVRuWrfCdNTGjAFgiwlH20z0vSzXSalt0hZKpZRSKgcZY0JusR73\n",
       "RHzjHzxY85pNZNFGwhdku16qf4Z6C6UGSqWUUipHBUxsBXBYtuuhUjfUA6V2eSullFJKZZhYrSl9\n",
       "bLNMkdkislRElovIJdt4vlBE/i4i74vIWyKyW6ZenwZKpZRSSqlBRkSswB3AbGAycLKITOpx2uXA\n",
       "QmPMVOBbwG8zVR8NlEoppVSOERF/tbjmTbDkvVIlrodEJC/bdVKpEYs1pY9tmAGsMMasMcZEgHl8\n",
       "cUmpScBLAMaYT4CRIlKaidenYyiVUkqpHFON8/FjrOWHe8RKh4nyz1iDH/hatuul+i8DYyirgfXd\n",
       "jmuBfXuc8z5wHPCqiMwARgDDgM3prowGSqWUUirHlIhjjEcSAcQrNorEMTbLVVIp6mugDGxYTLB+\n",
       "8Y5OMb0o5kbgtyKyCPgQWATE+lSRXtJAqZRSSuWYdmIdxhhEBGMMHUQ7sl0nNbDcVbvhrvpsDk3L\n",
       "wsd7nlIH1HQ7riHRSvkpY0wb8O2uYxFZDaxKd11BA6VSSimVc5pM5IKn45t/N0xcxetNcHOjiZyf\n",
       "7Tqp1Fgsku4iFwDjRGQksAGYC5zc/QQRyQcCxpiwiJwF/M8Y057uioAGSqWUUirnbDXhF0Rkz6Wm\n",
       "owqoM8YEs10nlRpJc6A0xkRF5FzgOcAK3GOMWSIi5ySfv5PE7O8/i4gBPgK+k9ZKdJNyoBSRe4Gj\n",
       "gAZjzJTtnHMbcATQCZxhjFmU6n2VUkqpocwYEwBWZrseKj1E0t5CiTHmGeCZHo/d2e3rN4AJab/x\n",
       "NqRj2aD7SKyBtE0iciQw1hgzDjgb+EMa7qmUUkoNaSJiE5E9RWSiZCKNqAFlsUhKH7ku5RZKY8wr\n",
       "yf777TkGuD957lsiUiAi5caYTaneWymllBqKRMQ7DNezUy2+PUPEox/F258TkZONMb2Z2avUgBuI\n",
       "MZTbWidpGKCBUimllNqGUhzXHmUtPTBPEm/TecY653mz9SjgX9mtmeqvdI+hzDUDNSmn53dR/8JS\n",
       "SimltsOGlHtJrFsYisdwIy4HMiLL1VIp0ECZup7rJA1LPvYFInJNt8P5xpj5mauWUkoplZuCxP6y\n",
       "wLQeNtXklYqJ8qFpXddK7Mls12swEJFZwKwsV+MLLEN8GOxABMqngHOBeSIyE2je3vhJY8w1A1Af\n",
       "pZRSKqc1mshzRWK7oJGOs5zEI41Eb46aeO3Or1TJxqj5XccicnXWKrMLSceyQY8AhwAlIrIeuBqw\n",
       "Q2LqujHmaRE5UkRWAB3AmaneUymllBrKRCTvVHjrTGL/3QrWmyGe7Tqp1GiX904YY07uxTnnpnof\n",
       "pZRSalcgIt65UHUmdOSD2ZrtCqm00ECplFJKqQEhIp4ToOp06MzXCaxDymBYSzIV6VjYXCmllFIp\n",
       "EhH3HKj+NgTKtItbDTLaQqmUUkplmYi45sCwMyGoYXJokiHehKeBUimllMoiEXEdlQyTwyCW7fqo\n",
       "zBjqu2dqoFRKKaWypCtMng5hDZNDm46hVEoppVTaiYhzNlSfDuHREM12fZRKhbZQKqWUUgMsGSaH\n",
       "fRsiGiZ3DbpskFJKKaXSRsPkrkkDpVJKKaXSQsPkrkv38lZKKaVUykTEeRhUnwZRDZO7nqHeQqmT\n",
       "cpRSSqkMExHHYVB9BsQmQCTb9VEq3bSFUimllMqgrpbJMzRM7tKGegulBkqllFIqQzRMqi5DfR1K\n",
       "DZRKKaVUBnRNwDkNohomle6Uo5RSSqk+0dncalejgVIppZRKIxFxzYbq/oTJe6ByAY5fOLD4IkTf\n",
       "+znR6zNVTzWwZIhPg9ZAqZRSSqVJ9725+xom14JtAc4/H2Yt2d0mFjbHw9Ouim/lQqK/yFR91cDJ\n",
       "xBhKEZkN/AawAncbY27q8XwJ8CBQQSLz/dIY8+e0VwRdNkgppZRKi64weRaE+tPN/TcYNtLirrYl\n",
       "m7JKLQ6HHdueaa+oygqxSEofXyhPxArcAcwGJgMni8ikHqedCywyxuwJzAJuFZGMNCZqoFRKKaVS\n",
       "JCLurjA5DGL9KWMSNDaZaEfXcczECRPv2NE1apc2A1hhjFljjIkA84A5Pc6pB/zJr/3AVmNMRsb0\n",
       "ape3UkoplQIR8cyB6jMh2N8wCXAEtD5rgne+Hms6p0jseWvinXV7Er40nXVV2ZOBWd7VwPpux7XA\n",
       "vj3OuQv4r4hsAHzAiemuRBcNlEoppVQ/iYj3BKj6NgTKIJ5qeb8leu+/TPvflhqKfwLrx0Jklb5X\n",
       "DwkZGENpenHO5cB7xphZIjIGeF5Ephpj2tJdGf0lVUoppfpBRPLmQtXp0JmOMNnlaGg5GlrSVZ7K\n",
       "DX3dKadp+SKali/a0Sl1QE234xoSrZTd7Q9cD2CMWSkiq4EJwII+VaYXNFAqpZRSfeQX8Z0KlWdC\n",
       "R37vWoqU6pPCcXtROG6vT49XP3Nfz1MWAONEZCSwAZgLnNzjnKXAV4DXRKScRJhclYn6aqBUSiml\n",
       "+sAn4j8eKr8F7RomVW9Z09zlbYyJisi5wHMklg26xxizRETOST5/J3ADcJ+IvE9iIvbFxpjGtFYk\n",
       "SQOlUkop1UvlIgXfgLLvQJsr25VRg0q6AyWAMeYZ4Jkej93Z7estwNfSfuNt0ECplFJK9UKZSOFx\n",
       "UHoatGuYVH2ViUCZSzRQKqWUUjtRI1I8F4pPykCY/B0y4mNx3OTBmtdhIsvPI3LJRAin+TYqyzRQ\n",
       "KqWUUrsoEZFRUPoNKDgF2tNd/hawLBHnXV+zl+1mEaE5Hpl6e2Rz/HdELkj3vZTKJA2USiml1DaI\n",
       "iGU8lJ0AvuN6hMnHoKgBPN+COn8KE3P+DuU1Fle5JbnodYHFbnGJfSwmkmLtVa4Z6i2UuvWiUkop\n",
       "1YOIWCZDxSngPQ4+t/3hj8VxzSp7/vM4ip+5zOL46xvg7u99ZkLjFhP5dJHpqIkTJKprUA5BNouk\n",
       "9JHrtIVSKaWU6kZErNOg6mSwHwqB7s9dDXtMsvtPmmb3+wAmWr0zHwrWX7Gfify0P/eaAiFLPHTz\n",
       "c+HNFxVZ7N4N8eCmGSZ8UTpeh8otQ72FUgOlUkoplSQitulQfQpYD4Rgz+dbsYzY0+LwdR37LTas\n",
       "YilPZTXKm4g+tdZEn34rhv9CaHT2vyilskYDpVJKKQWIiOMgqD4VzN7bCJMAexJ/a2G0dW2lxTnC\n",
       "IsLiaHurw8ReTPXeIyA6AjKy4LTKDdpCuRMiMhv4DYlV2u82xtzU4/kS4EGgInm/Xxpj/pzqfZVS\n",
       "Sql0ERHnYVD9TYhP2cGSPadDw3XRzh/Oi9df6hCLNRIPv/BrE503kHVVg5PVMrSnraQUKEXECtxB\n",
       "Yp/IOuAdEXnKGLOk22nnAouMMZclw+UnIvKgMSaayr2VUkqpdBARz1FQdTqER8NO35t+SnwR8eDc\n",
       "gaibGjqGegtlqnF5BrDCGLPGGBMB5gFzepxTD/iTX/uBrRomlVJK5YICkby5MOyHEOxNmMyWqeDJ\n",
       "dh2U2pFUu7yrgfXdjmuBfXuccxfwXxHZAPiAE1O8p1JKKZUyn0j+8VDxLWjPT2EtyZ4uEttJFovj\n",
       "JAOYePjhW0z0sVTKq4HTzoYfvCsya29jlqepmmqADfUWylQDZW/+AV4OvGeMmSUiY4DnRWSqMaZt\n",
       "ZxcqpZRSmVAjUnwKFJ8GbencSvEarPsNs/sv389eUAzweqR51M/DzauvIv5OP4uca4frkl8fBGig\n",
       "HKQ0UO5YHVDT7biGRCtld/sD1wMYY1aKyGpgArCgZ2Eick23w/nGmPkp1k8ppZT6VKa3UtwqliO/\n",
       "ZPMXdx1Ps/lKHo+0HYHpV6CcA9wKsBV+frgx96arnkOZiMwCZmW5Gl9gFQ2UO7IAGCciI4ENwFzg\n",
       "5B7nLCUxaec1ESknESZXbaswY8w1KdZHKaWU2qau3W9OAM8xaQiTb4D7EYv9JyAl5Sb64BUm/q7d\n",
       "xD/eGA8FR1rdLoD6eDjoMPGl/Sh+NnA7IFH45RVw1+GpVngXkWyMmt91LCJXZ60yu5CUAqUxJioi\n",
       "5wLPkVg26B5jzBIROSf5/J3ADcB9IvI+iUlAFxtjdK0tpZRSA0ZEbNOg8hvgOAw6Uy1vBdjnWZ3z\n",
       "5nrK9/GJjedDWw+5Otz+41+Y2CMXhLbuv8rm3s8AddHO124l1tcxlIcCfyTxvnrbukSwVIOcdnnv\n",
       "hDHmGeCZHo/d2e3rLcDXUr2PUkop1R9dC5bPBWb22Eqxv+6BqQc4CvfIt9gBONxZXH5fNPRtZyz2\n",
       "yh0m/KNnImG/Fcxl0Nf5AgcAdwN2EpNab0I3IRkSNFAqpZRSg5SIuGdD1WkQnQCRdJVrhXCYeKzr\n",
       "2AAG8+lE1SOgtR/FTgfuB1zAX4BrUqymyiE2DZRKKaXU4OMX8Z0AFadCcBjEdn5F710MH14Ran7N\n",
       "L9ZDCiw2+wuhprXVsfDNKRQ5lcSucm7gMRIrpKghRFsolVJKqUGmTKTwBCg9FTrSucZkFz+Yq+Ph\n",
       "M28INMyJI+W7mehTZyUmp/bHZOBhIA94EriADNRZqUzSQKmUUmrI6FoWaC4UnATt6VxjsssVYjkk\n",
       "IJYJNfHYi78ysb+nWNxEEi2SBSQmuJ4HxFOto8o92kKplFJKDQIiYp0M5ceC97gMrDEJ8BOr44aD\n",
       "3MUnDLc7va8Fms++Ktx+2c/j0ef7Wdx4EmGyEHgB+B45vP2jSs1QD5Sp7uWtlFJKZZ2I2KfDsDPB\n",
       "dRx0ZOIez4B/pN1z2N7OPG+pxc6x3tLKqNXxg34WNw54HCgGXgLOBsLpqqvKPVaLpPSR67SFUiml\n",
       "1KAmIq7DoOobYKZBMFP3aQObQyzW7o/ZpV/v9GNIhMkS4GXgO0Ao9RoqlT3aQqmUUmrQKhDJOwFq\n",
       "fgiRaRkOZXOgcWm44/36WDhqjOGNYGtLIBp6qo/FjCYRJkuBV4Az0TC5S9AWSqWUUioHlYkUHpfB\n",
       "mdw9OYFLYqHv3tK64TwjltF5JvbMzfHo030oYiSJMFkOvAacQQZbVFVuyUQoFJHZwG9I7Kp0tzHm\n",
       "ph7PXwickjy0AZOAEmNMc7rrooFSKaXUoCIilvFQdir4j8/QTG6Ay22OE0IWy8ESj398VTR8px9M\n",
       "JcR+FY/8uuuc3yPD19pd13vE6m6Ph9+5Lhq+ybnt4kaQCJMVwBvA6WiY3KWkO1CKiBW4A/gKUAe8\n",
       "IyJPGWOWdJ1jjPkl8Mvk+UcD52ciTIIGSqWUUoNI157cc8BxVIZmcgNcbHdecFhx+Vl7e/2+VcHO\n",
       "o69pqNutJBK6vQA6fpB48+YdcG1weO47L79qok0sLI907vXT1k3RW2LhW3sUN5xEmKwC3ga+RZq2\n",
       "gFS7tBnACmPMGgARmQfMAZZs5/xvAo9srzAROQ94wBjT1J/KaKBUSik1KIiI61CoPJ707cnd001i\n",
       "mdJoc/6fWCz7FVhsPgEqHS6nw24/ao/issOaY5Hwxa0tT98cClz6NIze1+WvsUliOsI4u8flttqn\n",
       "E/vcZO2RfBYm3wFOBTozUXeV2zLQ5V0NrO92XAvsu60TRcQDfBXY0aoE5SRaORcC9wLPGWN6PZRE\n",
       "A6VSSqmcVyCSNwcqT4HQ6Ayt1fh7ZLg4fHf/2F8+zAI81boVh0VY2NnOuVUjnH6bzQlQYLN//cr6\n",
       "9Y+OhbraaKh1BngBQvE4gXisrVuRo0msM1lJomXyVDK0pJHKfX0NlMsXvsmKRW/t6JS+jBv+GvDq\n",
       "jrq7jTFXiMiVwOEkxvfeISKPAfcYY1bu7AYaKJVSSuUsEZFhUHQcFGdy8s29ULnK43lkjNMx7F+h\n",
       "Ro5wFnKku4inWhtpNrGI32azd51b5XDmBS3W6tPjsUWXhtvvfbQtfmaFzeleGGxbv0c02LUHd9fS\n",
       "QOXAm8BpaMvkLq2vgXLiPvsxcZ/9Pj1+7r7bep5SB9R0O64h0Uq5LSexg+7uLsaYuIhsBDYBMRKL\n",
       "7v9VRF4wxly0o2s1UCqllMpJXTvfHAXeuRkcLxkCVuT57rli9NiRTouFzaEQz9RtZKbVZz7saHvF\n",
       "LmbRy82Npx9cUFQQM4b/NG1ZPS0eewPgxmj4909Gww+vhILvQ+2IROtp16LlpSRmc5+OjplU6bcA\n",
       "GCciI0nsIz8XOLnnSSKSDxxMYgzldonIj0mM790K3A1caIyJiIgFWA5ooFRKKTW4iIhjP6g6DiyH\n",
       "Zrib+FkomOD1ljstibGQpU4nnZa4ub+t/u0fxMJnTIHQFY0NGxa0NR8djscjxaHADScn3nQBmAPN\n",
       "JD4AJpDo5i4hsc7kGehsbgVYJb1jKI0xURE5l8Qe8FYSXdNLROSc5PN3Jk89lsR4yJ39UVMEHGeM\n",
       "WdvjPnER+drO6qOBUimlVE4REe9RUPlNiEwYgDB2ALT+KRj8NLRG4nHqwqEPzosGT0y2OHJ9OPQg\n",
       "4dCDOylqEokwWQT8D/g2GiZVkiXNgRLAGPMM8EyPx+7scXw/cH8vihvTM0yKyAPGmNOMMR/v7GIN\n",
       "lEoppXJGmUjhqVD6Tegsg/hA3LME4uHOzutvW7PqiuEud96SjvbNYwKd54zo2+Sf3YBHSYw5ewnd\n",
       "TlH1YM39zW52634gIjZg795erIFSKaVU1omIdXxi15uMLla+PddEws+tbQ6/+DpN+RdBo79vk3+m\n",
       "Ag8DBcALwFlAeIdXqF2OJUe3TxSRy4HLALeIdF+lIAL8qbflaKBUSimVVSLi3A8qk+MlMzb5ZmdG\n",
       "QHREt7GRvTQDeADIIzGW7XtomFSDiDHmBuAGEbnRGHNpf8vRQKmUUiprutaXPBHCAzFeMs0OAv4M\n",
       "uIAngfPI0BqZavBL96ScdBGRicaYpcDjIjKt5/PGmIW9KUcDpVJKqQEnIlINxd+A4pOhPVPrS2bQ\n",
       "YSS6Ax3APBJLqgzImE81OGViUk6aXEBimMatbPvf4aG9KUQDpVJKqQElIrYpUPF1cB0DbTu/Iud8\n",
       "DbiDxHvofcCVDL5ArAZYrk7KMcaclfw8K5VyNFAqpZQaMCLiPgwq54CZOTh3jvkG8CvAAvweuD67\n",
       "1VEqNSJyPDv4g8gY80RvytFAqZRSKuNEREqhYC6UngyBYYlt3bLuerfzYPx5F3rtNsfGto4Fl7e0\n",
       "X7mDGd6nATcmv74F+M3A1FINBbk6y5tEi/uOWtg1UCqllMo+EbFNhrKjwDsnC0sCbc9DUFJUVnzz\n",
       "eXtOqBERljS2jL9x0dKtN7R1/Hobp58DXJX8+ufAnds4R6ntytUxlMaYM9JRjgZKpZRSGSMi7kOh\n",
       "Yg7IgRneQrGvFolM+nZN+TBJvtFPKsp3Op2OqbR9oZqXkJjBDXA5vdt1RKnPydUxlCJyqjHmQRG5\n",
       "gERLpXT/bIz5VW/K0UCplFIq7XK1i7u7GmPWfrSlafOeJYVlAJs6gyYYidR2O8VCYozkt0jU/3x6\n",
       "2f2n1CDiTX728fmub6EPk800UCqllEqrXO3i7unHsO7Kus2/u6UzcGahw2lfsrVp2Tdb2q9NPm0H\n",
       "fgvMIbE+5veA57NVVzX45XCX953Jz9ekUo4GSqWUUmmTy13cv7NaRzWU5l/jtdudrW0d869rbv/j\n",
       "tW0dd29p67h3NTi+9dnC6i7gLuBLJHbuOR14M1v1VkODNXcn5QAgImNITDTbj0TL5OvA/xljVvXm\n",
       "eg2USimlUtbVxX0qlJ6Qg13cL0Jee3XpfTd/efo4h9XCK2vqp131zsehn7e031cC8ZLPwqQf+Asw\n",
       "HWgETgY+yla91dCRqy2U3TxMYn3V45LHc4FHgH17c7ElQ5VSSim1ixAR+zQYdhaUfA/acy1MAjwH\n",
       "k4+ZNGqUw5p42ztoZKXX6XX33AGkBPgriTC5ATgWDZNq1+E2xjxgjIkkPx4k0VrfK9pCqZRSqt8K\n",
       "RPKOSnRxx6ZloYv7NzCiweeZ5m8PLL7UmGXbO68Mtqxubm2dWVNWBNAejhKIRFu7nTKMxBaKo4CV\n",
       "wEkkQqVSaZHDs7yLSEzAeUZELiPRKgmJFspneltOyoFSRGaT6HO3AncbY27axjmzgF+TGOS8JdXt\n",
       "fZRSSmWXiFhHQfFJUHAidGRjL+7rivPn7D513FVnTx1b8dby2safLfj4d1dvbPzjts69EFZduWL9\n",
       "o6FI9PhKv9fz3LL1q/bc3HRl8unJwENAGYkWyW8CWwfmVahdRQ53eS/k8/9+z05+7prlfWlvCkkp\n",
       "UIqIlUR/+1eAOuAdEXnKGLOk2zkFwO+ArxpjakWkJJV7KqWUyi4RcR0ElceAHJqYtJIVvsqS759/\n",
       "5P4VAJOry4qW128+JbSx8Y/O7Zx/7dbW6+7a2nrPYvCfAqvGQgTYH7iXxJIprwHfYXDuL65yXK5O\n",
       "yjHGjExHOam2UM4AVhhj1gCIyDwSSyws6XbON4G/GWNqAYwxW1K8p1JKqSzovrbk8RAcDdFs1sfj\n",
       "sH9uHoDX6bQ1grVyB2M4z4J6Eh+Q2HLuNsABPAX8GAhnqLpqF5ejefJzRGR3Ei32n46dNMb8pTfX\n",
       "pjoppxpY3+24NvlYd+OAIhF5SUQWiMhpKd5TKaXUABMRR9fEmx9Be7bDJMC6+i1vvbtqQxBgxcat\n",
       "kaXrNn6wozDZw5nAH0iEyXuAH6BhUu3CROQa4HYSPc+HAjcDx/T2+lRbKHszZsYOTAO+DHiAN0Tk\n",
       "TWPM8hTvrZRSKsNERPLANwfKj4XIlAxPvLnHYqlaU1P5XROLBw+urf/D4Tvofv5p/ZYrb3j8xVqb\n",
       "17V3OBBa8YNNjbf28jaXAj9Kfn0DiWFZOSkIvAiuWtiU7bqo1FhzdwxllxOAqcBCY8yZIlJOYmxx\n",
       "r6QaKOuAmm7HNSRaKbtbT2IiTgAIiMjLyQp/IVAm03GX+caY+SnWTymlVD+JiH0qlH0JvMcPwI43\n",
       "d9ptNWbmtHn3/PBbIzuDQS759T1fdry/5LgKiDxQXnS+1WEb5moPPHl5U9uLAE7gZ5ub7mRzr29h\n",
       "A24BTiTRknkh8FgGXkrazIO8J2BzgzEt2a7LYJGcCDwry9X4ghyelNMlYIyJiUhURPKBBj6f8XYo\n",
       "1UC5ABgnIiNJLK8wl8QisN09CdyRnMDjJLFA5jY3Gk912x+llFLp4RfxHQXlR0Bs5gBNvKmrqTr/\n",
       "wZ98Z6TTYSff5+Gys07e/fKf/frrNq/r6JvPOOqA4SUFlof+t+jQn7/07nVXbWl+tI/Fe4A/kugt\n",
       "CwBnAS+l+zWk058h7x+wtcGYpmzXZTBJNkbN7zoWkauzVplurLm/8vc7IlJIYpeoBSR6I17v7cUp\n",
       "BUpjTFREzgWeI7Fs0D3GmCUick7y+TuNMUtF5FngAyAO3GWM+TiV+yqllMoMEbGNh5LTwf/1gV4O\n",
       "yJh43Hx2u7iJE4iagrkzJu8+vLTQAnDKrGlFbyxZfQJ9C5RlJHa/mQI0AacBi9JY87R7CPL+Do21\n",
       "xujyRWpAGGN+kPzyj8nc5jfGfNDb61Neh9IY8ww9Fr7s2mi82/EvgV+mei+llFKZIyJ5s6F8NpgD\n",
       "s7Ac0Ki1db+66Na79r3ye6eM6QyG+cWfHnmvpqn5X52hyHc/PckYIpFYX3biGQ88SGLC6FrgVKBX\n",
       "exNny6Pg/Qc01+qqKENKJrq807kWuIgIiW0XDyTxh+QrJBoDe0V3ylFKqV2ciNjGQum54DsSOssS\n",
       "vUkD7sx4vP7+19494Yfr6r9lYrHA7A2b7jsQOq9auHT+6PLir42rKnHd/993NnXWbf5TL4vcn8QM\n",
       "bj/wLnDhlO8ZAAAgAElEQVQGif25c9YT4P0rtKymDyND1aCQ7kk5GVgL/PfAGBI75Qhwjogc1q3l\n",
       "csf1MWbANzfYJhExxpicH7GqlFJDiV/EdwCUHQ3xmRDKdn22JQRc5vOcmVdWeN7Bu49z1W1patyw\n",
       "fP1NlzU0PvUhOB/O930VRI5raX1uemJiNMDxwK0kWmWeJjGrO7idW+SEp8AzD9qXwSaTK2/OQ0Au\n",
       "5AsRMQvWpTYUdp/hhXR/HSKyH3C1MWZ28vhSAGPMjd3O+QFQYYy5qhd1XApMNsbEk8cW4GNjzMTe\n",
       "1E9bKJVSahckIvbJUHo65A34WMk+cgLl1eXH3HneSWUWiwXAf8HdT1z4RkPj8y/uNv7Rq74zd5og\n",
       "3HzvvKZnOzsWnFjbEJkQjhyVvPxPwLVkqdW1t/4N7oehY4WGSdV721oLfN8e54wD7CLyEondoH5r\n",
       "jHlgO+WtAIYDa5LHw5OP9YoGSqWU2oV0rSt5FJQN5AzuVBX7PZ5kmASgqqjA/VRl6dm/Pv87e48e\n",
       "VgHALed/t2jlL24/vCwcwYARuBK4L0tV7rXnwf0oBDRMDm0ZmOWdlrXAReSfyS99wBIReTtZ9gzg\n",
       "nd5WRgOlUkrtIkTEOQ3KDgH30TneKtnT+k2Ny9Ztbpw8vLTI0hYI8MGq2jq7w+H0ed0AxNo7CN92\n",
       "L2Ur1yMOG8+WFi2eXdcwKMLkAxD4GDZ2dTWqoamvk3Leef0VFrzx6o5OSdda4D03BOj6f0How/8R\n",
       "OoZSKaWGOBGxlEL+IVByVGK3m0G3xeBScMwbXnFdSVH+mPWbG4OddZvvGW6Rte799/nPzad+3VV/\n",
       "3e1EausJ2G2MueA0fvDXF//z0xXrzsx2vXfk+UQ3d+hD2KBhMnNyIV+IiPlgQ3NKZexRVdBzDKUN\n",
       "+IRE6+MG4G3g5B6TciaSmLjzVRKjR94C5m5v+UYRqQCmkwiSbxtjGnpbP22hVEqpIUxEPAdB+aFg\n",
       "PRw6Mr3bTaZMhPA16zZe/HOxXnzEwfueOnFk9b2PvfD62pFbt3au+NHVLkckgpQX868Rlaz7z1vB\n",
       "zs1N/9x5qdnzErg0TKpUpHstcBE5kcROUv9LPnSHiFxkjHm8N/XRFkqllBqCRMQ2CopmQcEcCAxL\n",
       "bDU4qD0EJQXHHvbcT04+qgKg8cXX2XjXY1gNePYYT/nZx3PTUy9zxenHcukf5q0a+eq7R3w5B8eI\n",
       "vgSuv0BYw+TAyIV8ISLmow2p7Z65e1U+mXwdIvIB8JWuVkkRKQVeNMbs0ZvrtYVSKaWGEBERH+Qd\n",
       "DuWHQfzQHAxU/VUH+buXF7lMPM7mh/9J0z9fwgosLitqbp402rvuyfn2Ew/dDxFh1l6TKh549d0R\n",
       "X4bF2a53dy+B6xGIfAj1GiZ3Lbm/lTfC59c/3Zp8rFc0UCql1BAhIq5pUDoYJ930xlxY+/j8t9fN\n",
       "eOuDgtB7SzAW4Q2v+1l3Q+MPn3pt0W23X/Tdo4aVFgLw5scrtuyVmLSQM15NhsmFiZbJQd9irPrG\n",
       "kvuB8lngORF5mESQnEuPnRB3RLu8lVJqkBMR62go2h8Kj4DQBIhku04ZUhWFB20wIWSR6PP+vIcP\n",
       "a267zAm8Cp4Xx4+4e8KI6tFbW9qCrWvrb71s05acGUf5Krjuh+giqNMwObByIV+IiFm6KbUu74nl\n",
       "mevyTm67WENiQs4ByYdfMcb8vddlaKBUSqnBqat7e7/PurdzeieYFM2IwP128Hd43bGHy4uX2dbU\n",
       "nXZm3NR3P2kLWEpybBFzDZPZlQv5YpAEyg+NMbv3twzt8lZKqUFIRFx7QdlXwDkbOoda93YPpxm4\n",
       "zg42z+7jGHPeadZJdtukc26661aWrv5m9xNzMUz+BSKLtJt7l2fp/XDEAWeMMSLyrojMMMa83Z8y\n",
       "NFAqpdQg0jV7+1QoSHZvd2S7TqlYCo6/+DzHYbF4pre0//3r0H3DYzuJbRNPE6B23IjOQy/5rkes\n",
       "VqxASUG+PyuV7qWXdMyk6mYQTMqZCZwqImv57P8Vo7O8lVJqCBERSxn4j4KSwyB+4BCYvb0UHA9V\n",
       "lz76k6/M2MfrsFluf+nd0x5YUXviaYmZpiXAXSS2fwvF4KKHXI6zD4qb3e1WqN/axMaGLWuy+gJ2\n",
       "oNvSQPUaJhUMikk5X01+7r5TTq/pGEqllMpxIpJ3SGLLRMvh0DlYFyfv7l+Q/2xh/mVXHr3/KXtU\n",
       "l1kAOsMRfvTgMw/f0ND0AHAPUEViB5DvAB/80WYd3jRu5C9LCv2+DZu2rD5m5fqf7JWD40Y1TOaW\n",
       "XMgXImJWbm5NqYwxpf6MrkMJICJ7AweSGDrymjFmYW+v1RZKpZTKUV3LAP0YXF+FQFmOjQ/srwes\n",
       "1vItB+437xtTdhvv7vxsTo3DauWgzuAY4O+AC3gHOIvk2njfi8bWsWTlidmoc2/pdopqe3K9xUxE\n",
       "rgK+ATxBorr3ichfjTHX9up6baFUSqncIiL28VA8A/xDcRmgqydPvO3+++48PhKNcsNPr+R7U4fj\n",
       "FAuv3//v9smNLXnJ0x4Efsogeu0aJnNTLuQLETFrtrSlVMbIEl+md8pZBuxhjAkmj93A+8aY8b25\n",
       "XlsolVIqR4iIbRjkHwfFX4LIzCEwTnJb7Da7w+Vy4Rbh4muu5s4bb2H68y+1To7G/CQC5FXAX7Jc\n",
       "zT75N7gfgeBS3QFHbccgmJRTB7j5bBiJC6jt7cUaKJVSKsu6T7iZtZPtEltBOsDSAZYAWKIgQZAY\n",
       "SFislojFagnY7NaoWC0AUbFYYhaLBSAmFktMdjw1wGriJvk5bo3H4zYTj9tMLG6Lx409Hovb47G4\n",
       "xcSME+IuMG6IuyHuhbgP4s5evF7nhg333PTrO6Zf8n/nVsQ/+pjDn58f8yTCZD1wDvDu9q69oari\n",
       "qKAv76umM7jsx+trf58LywQ9BZ6/QudS2KhhUg1ircBiEflP8vgw4G0RuZ3EbO/zdnSxdnkrpVSW\n",
       "dC1MPgPK9gWZAuEgWNvBEhCrtdXhsgctdlvYarMFLVZbzGq3Wqx2LFY70vVhsWKx2hCLFavFagSL\n",
       "ERGsFmscwIoYi4hJ3g9r8uttiXX7P9gYQ9wYicWjYsQicRMXYwyGuMTiMYlHI8TjUYnHIsRjUUws\n",
       "golFkHg07oxFI85oOOqNhiK+aDjiNrFYHsT9ECuEmB/Mr4qLpu8rct1+W7buZkmM13oN+D6J/YO3\n",
       "6eejRpw997QTz//6EV/JX7JyVfTq63/93DVLlp2dth9IPzwB3r9C2zJo0DCZm3IhX4iIWb81tS7v\n",
       "muKMd3mf0e3QkPh3+elnY8z9O7peWyiVUmoAJHeisHV92Nz+/Akuf+VYi9VdandFN9tdzLe5sNid\n",
       "WO1ObDaHsYjVOCy2mNNiMUVijdistvBA1Xd125aCLeX2m4cPrylvaNjcEd3Q/Iu93OUf7uw6E48R\n",
       "MTFLOBazd8SjrpZ41BKNhiUeDRGLhIhHQ1QE2xzf37r1h24Su3KE4c4GuOneETWnOIoKDwi0d9Qf\n",
       "vXzlddN7zOAuGzn86OOO/Eo+wOSxo20z99172n+WLPMdDqm9U/fTo+B9DFrXJsJkbrTOqJwlOd7n\n",
       "bYz5cyrXa6BUSqk0EpFPQ6Mzv8Jhdxe4rHaXs3D0TKvDW0Q8GvKUBloKxoJtlMPbme9wdTisjpxr\n",
       "2dpcYvvZTTdcu4/H4wbgksuvuiraED3RZrHtMDiJxcrylobSTaG2kRVO3+rJ+ZUN3Z8fs/GTUaM7\n",
       "Gn9pxYyKQ+c6b/G1LxYPf2WZPfDTb5369ZP3n76nu6W11Vxx7S0TbUuWnVoBkUqIAYSjkc/duzMQ\n",
       "NJUQTfNL75WHIO8f0LwWNmuYVL0xCNahTIkGSqWU6gcRsZLYycXmzK9wOLxFHovN6SyZeKg480rE\n",
       "4Ssxdnd+3ObMiznySsIdm1c689ctKh4TCTpGe4s7vTZHTq9PWFpWUtQVJgHGjxvn27B2oW+4t+gL\n",
       "i+mZeIzXIxtPNA7L5HAw3Dn94L1mnTRj74pX31yw8Z2FS3473V7xHMD0lW/MLmrf8lMBT0wsK1eW\n",
       "j79gVfm4ddVAoCwy7cuzDnHH43EK7W6Zud8B459uZHIJpsmEOuK+SDDYsGz1Qzf97p7h3zhmdtnH\n",
       "n6zs+PC9D547DgID911JeCDRzd1YB1s1TCqVoIFSKaV2ItnqaLc6PHanr8xtc+V5iscdZHX6y3B4\n",
       "i3DkFcftnsKo01cSsNg+Py2lZf37LteyV0r3DHU4RjvcEZ+3qDM7r+LzFrfUl7dGAv4p+VWr8+yu\n",
       "L7TyNTRs2dLW1obP5yMej7Nk6Scte7jzt7ky8xuWzVf/4Lwzv7rHbpNc/3nplXggELBMmzKZaVMm\n",
       "V1xx3a1nete1zd9n1ZsXuSPB4wBCNuezC0bv+/M2d/6nXdqdgUDMGIPFYsHpcNDW3hmuKahsLHP5\n",
       "AyYeIxCLWCdFw2++9cJ7F7z88sL9Ym1ty6cHQi/NB28FRKog4s/wfuZBYF6iZXJrrTHbHeup1Lbk\n",
       "eI83IvINY8zjO3tsu9fnyh9XuTBoVimlki2PDqvDY3flV3ptLp/L7i20Ov1lOH1lxpFXHHP5KyI2\n",
       "V94O//NsWf++y7f+g6JRoXbnWIcn7NtGaMuWN039+fvuu9dRVRVl7n+/8L81hZti547ylTR3P2d9\n",
       "R5NvQ5HcOKymuqJhy5YOy4bW66Z6ypf1LKszGrK2Ty568qJzz67qeuwPf36Q75/xTQD++PMba4/5\n",
       "70sBq4mNMxBu9hTe/PbY/Z8wYvlcOQsDG6ZWTBp+3dGHH1r98bLlzfNfevOxmVLxx+29BhOP0RoN\n",
       "2YORgC0abCfS2YIz3BEuD7R2VMbCoTEQSmfADAIPQN4TsLnBmKadXqByRi7kCxExm5pTWwWsvCAv\n",
       "05NyFhlj9trZY9ujLZRKqV1WcqKMA7B7SkZ5bC6fp2TCIXZnfoVx+sqMy18edRVUhnq2Om5PPBqi\n",
       "rX6py7f+g6I9Qu3O0XZ3OD9HWiS7LGhcO+KQOQcdc/KxRxYAHLjPnpMvuPqWi0cZLu9+Xo23sK0m\n",
       "xA9Z0UE1bujW/d2dTSwmFot+bgxoIBg0gKx/5LHY0f99sdJqjDUmlnXrSkZe/EnVbl8IpQDT3FXv\n",
       "L/9wwxm3Lvzj7p64Zf3MklGrdvQ6xGIl3+GJ5Ds8EbzFUAyBaMjaGAkU1Afa5K2OJryhtmB1Z0t7\n",
       "lYmFR0G4dz/FL2oBeRC8/4aGBmOad36FUl+Uq5NyROQI4EigWkRu47NNfXz0YWMBDZRKqV1GV+uj\n",
       "3VvkdOVX5BWOnuly+stw+ctx+stj7sJhYZsrr88zqePREK11H7kLaj8smhYOOEY6POFc6druqTUS\n",
       "Kho5fFjXbjR4vR7cHpeXjv6V57Da42tWrH3huf++fMK0PXfLe/6lV5qWLvxw2cvHnTRiwtYtFZDo\n",
       "4l44cvp1Ld7CHX5PxvnKto6j7H/9qwm4bc6Y2+aM4S6Aoho6I0FrbbizeGWgxfK/QEvcF2gLDA80\n",
       "t4+BUNdEn51pAbkPvE9CfasxWZlNroaGHJ6Us4HE2q9zkp+7atoK/F9vC9Eub6XUkJUc++hw5le4\n",
       "HN5in8NbZHcVVuHKr4y78iuj7sLqlLqh49EQLevf9xTXLS4cHQ05Rjm8oXROtlndviW/odh2uc/v\n",
       "K2je3Lhkn1jBbQ6rPaUZ4RsDLd6mavufr7vkvDF2m43/vv52x+Pz/nX7vvaqx/pSTkOw1f1R66bJ\n",
       "LrG27V86etkb7ev3i7ksu++1uXHtsZvXf9dqYmOTXdw3vT12/7/37OIeaF1d5IFQuy3U0SiOzpbQ\n",
       "sPatbTUmFpoI2/wjogEs94L7r4ndb4bkrkW7glzIFyJitrT286+2pBK/N9Nd3nZjTL+3OtVAqZQa\n",
       "Mj4NkP5yt9Nf7nP6Su2ugmpc+eUxd1FN2OEtSsvyPNFgu7SvWeAtblhRODYetQ1Pc5CERAB6J6/z\n",
       "/l/ceN2UPG8ey5Yvj/z65l89sX+85KZUy17cVl8dKLZf5HG7nS1bW14rCdieXhdoHldk89TtVTRs\n",
       "p1utfdK6qSRYk/e7uSccO3rjpobA0/9+/sUD4iU/m7Hi9WMLOpsuFnDFxLJ2bcmoS5ZVTd5mF3e2\n",
       "BaIha1uowx7sbLJIR1O0rLO5fXgkEJgMQSdQC9b7wPUk1BljcrK1WfVOLuQLETFbUwyUxZkPlAcC\n",
       "VwMj+awH2xhjRvfmeu3yVkoNWskubKczv8Ll9JX5SyYeanMX1oi7sCrmKqgKO7xFaV0IPNi6yRpa\n",
       "+15e1dY1hXsJVDu8IZfVnpHFxld0bC2a/qWDK/O8id7p8ePG2cuqKiZRm/rcnt18lXWEOZ8wLIy1\n",
       "7+Pac8QD5331OxWLFn3Q9ubr79w9U8oe3NH1TUXWC2698tJxbrcTIM8eCHx55G9vqyyMRWYAhGzO\n",
       "pxeOnH7Dzrq4s+nT7nFvEdGiqLRGAr53O5sK3u5ojDvbt3QuDAeir8NKY0xw56UptXM53OXd5R7g\n",
       "fGAhvRwS0p0GSqXUoJGcROO0e4tcTn+Zr3jcQU5P8QhcBZXxZAtkRsJde8MKh7Xuo7zK5o35oy2W\n",
       "eLXbH7BmuAu31OVrr62r+zTMRGNRWltaQ+Dp1fVL2zaVNRfa/89utznizZ1/n+6seLXnOa2RoN2U\n",
       "em+6/JILCwGm7bmnv65+4/c6V7Q+4rE5t/uG4nA6XMkwSXjhIqbec3eeLRaZYaCj0Vv8i3fG7v90\n",
       "X19vNtmsNlNk9YWKXD4aPYX2lwuqCta5CzYXtG+pcuVXtIRaN3UAIV1zUqUiVyfldNNsjHmmvxdr\n",
       "oFRK5TQRcQBOb+mYvMJR0z3uouHiLqqJu4tqIi5/eUZbwFrrPnJ5aj8oGNPZ6h5jtcXKBrDFrcDu\n",
       "Di9btvr+3952+7cnTJjge/nlVzbZ6ltvJG/ngXJ9R5MvNrr497+68rLRTpeL+x94aI8FL7x+5T7O\n",
       "ije7n7fY0XrtpDG7F3Z/rLKyzPX22x9NOLhs3MfbKz/a3PncP/7x76lf2VRX0Pngw9iMIWyxfrSq\n",
       "YsJla0rH1PX7RWdZQ6jT/rYIgWnHrR5eWB2NBtulY/PK/PZNy4s6t6yJOrxFzZHOpg5jzIBtganU\n",
       "AHpJRG4BngBCXQ8aYxb25uKUA6WIzAZ+A1iBu40x2xzfIyLTgTeAE40xT6R6X6XU0CQiFsDl9Je7\n",
       "XfmV/rLdZ9u8paOMu6A64ikZmfFdUaLBdmmt+9BTUr+0YEok6Bhpc0UKs9R1O0NK/rb6tY9f+OeL\n",
       "b5WO95WuL8qrCO38KlgZbZ554Wlnj3a6XACcftopxQveXvh1QnwuUA4bUT2muMDP4sVL2G23STQ0\n",
       "bGbt2nVGkB22xM1tal9c8Ztft3dGIwVxoMHhfWjxuAN/E8nx3X92pDbQ6lxgs8eCU47e6PaXxwBs\n",
       "rjyTXzM1mF8zlWiwXdo2Li1sq19a4quaFGyvX9oEBIwxg/Y1q4GViS7vnWUwEZkFPAl0LcP1N2PM\n",
       "ddspbiaJtVv36fH4ob2pS0qBMjl+6Q7gK0Ad8I6IPGWMWbKN824CnuWz6ehKKQUkWiGtDq/TXVjt\n",
       "Lxp7gMdTPBxP8YiYp3hkyObK61WISlWgqc4Wrv3IW964tmCKMTLM4Ql7c2Dpn1F5JS2j8kpa+nJN\n",
       "B7EJmzZvMZMmJv6/7ejoJBIOf+G1tDS3Br/59a/x5HMv8trrr/PJihUE2jqW7FU4bPm2yhUTZ/rK\n",
       "N44p7Gi8WMATF6nfUDDspx8N33NR/15dblgdaHEtcHrDZsoRm1zbmbhlc+WZwpH7BAtH7kOgqc7W\n",
       "vvGTytYNHxt3UU1LsKm23Rgz4FtAqsEl3eGntxkM+J8x5pidlWeMmZVKfVJtoZwBrDDGrAEQkXkk\n",
       "1jHq+WJ+BPwVmJ7i/ZRSQ0CyFdLp9Jd7XPmV/vIpR1o9JSPwFI8MuwurU5sK2UetdR+53HWL/cM6\n",
       "m7yjxBqrdPmCmR4fmWkjxo+d8f7i5WKMId/v58FHHw+XtXIHvs+fF97Y/Ntrb/ntFTOnTyvfunWr\n",
       "aWzYsnC3aMElee4v7upT0VxXNLn2oysdsfAhACGb4z/vD9/7ukZfyaBeTmdJZ5PnfW9xu23KEVvs\n",
       "O9n9qIu7sDrqLqyOFo87gPZNy30dDSsLCobvFW3ftGxrLNzZaYzJmV2RVO6wpH8MZW8zWK9uLCIV\n",
       "wPVAtTFmtohMBvYzxtzTm+tTDZTVwPpux7XAvj0qWE3iBX6JRKDUQc1K7YKSS/q4vKVjfIWjZ3o9\n",
       "JSPwFA2Pe0vHhHa2jWG6hTsaLYG6j9yFDSsLpkSCjhqbI1riyd0ZyX3lsDvl29/7Ph8vXkxbMEBZ\n",
       "RXWjuz72heA3zVW5YOOyplP/tvDR6hpP4cYveYe3Yv/8OdF4VEpWvXnKbh3NZ9kxPgPtTd7im98Z\n",
       "M/Nf2V5bMhUxE+fjzmbPe4XVLd7dv9rY292QurPYnPirdw/6q3cn3NFoadvwcWlr3WJJtlq26Qxx\n",
       "lWE7zWAkMtf+IvI+iVbMC40x2xsf/WfgPuCK5PFy4DESs793KtVA2Zs3gd8AlxpjTHKG5naTsohc\n",
       "0+1wvjFmfmrVU0plU6Ir2+Pylo4uKJl4qMNbMkrcxcMjeWVjsxLe2uqXOm0bl3rLWzb5RwhU2HOj\n",
       "WzvdNq+vffnVl/834sCDD8lbuXx5ZOWSTz442FG8zaEDFe78jgp3/jbXivS2bsovblrx2OSOplKA\n",
       "9V5f6yZ/zTe3lI3ZkMn6Z1o4HpUPAq3uxSWjG/OnfLVPwwm2x+EtihePOzBQPO5AWus+8rXWfVTQ\n",
       "baxlpzEmLWugqp1LjhucleVqfEFfGyhffvllXn755R2d0psMthCoMcZ0JrdY/AcwfjvnlhhjHhWR\n",
       "SwGMMRER6XVre0oLm4vITOAaY8zs5PFlQLz7oFARWcVnIbIE6ATOMsY81aOsrC88qpRKTdeyPs78\n",
       "Co/LX5HvLhpm85SMintKRoZdyYkOA617a2R1NGSvsdjiZS7fgIzLzKY3wpuOjLps+5tQeMVMS8lf\n",
       "drbDzjuBDQdaC53HR8LRsK/F/PbkxrphBa2bbnHHYz5cLrzn/R8bp8+I33j19bcfZK+8f6BeR7oF\n",
       "YxHLu8E294rq3Tbljz84o8MrAk11tta6xc72jUvi7ZtWNEY6m9q0O3zg5UK+EBET6Eztb1e3x/O5\n",
       "hc17k8G2UY/VwN7GmMZtPDcfOB54wRizV7L8m4wxh/Smfqm2UC4AxonISBJ7Qc4FTu5+QvcV1kXk\n",
       "PuCfPcOkUmrw6pqV7Soc5i0cNd3vKR5p8ZSMjCW7srMS3OLREO2blrvsDSs8n2uN9Hh2mYkT+znK\n",
       "nybO0z27sLdlYXDDzL0P3vPqM0+cUxxu7+SVc3+yb2XzBj+ATJxE/g03YRs5ivLOgAWbpTzTdc+U\n",
       "jmjY+k6ow7lm9Iz6ghF7Z/x34dOxlmP3l9YNi4taaz8ocRfVNAebalt06aFdUPobqXeawUSkHGhI\n",
       "9hLPINGQ+IUwmXQB8E9gtIi8DpQCJ/S2MikFSmNMVETOBZ4jMWX9HmPMEhE5J/n8namUr5TKTcnZ\n",
       "hS5v6Rh/4eiZ3ryysSRC5KhAf8aipUugqc4W2fCxp3Dr2vypsai10mqLFw/AIuSDXcRjO/bME+cU\n",
       "hz/4iNZf3c7uG+r9cYjXun3z/jdtxpfOHzGywhjDvXffs8kf4B+9XFs9pzSFOu3vxiPW+omzNhRU\n",
       "ThzQP3RsrjxTNHrfQNHofWlet8jXWvthYV7Z2LaOzSubdJyl6q9eZrATgO8nu647gZN2UN67InII\n",
       "iS5xAT7py97eupe3UqpXkpNq3Hnl4/1Of7nbWzYGT8nIaF7Z2Ky2tESD7dJW/7G7YOPy/JJQm2uE\n",
       "WOIVTm/IYbHlxn9ug8DC8LprrhpRdkz02ecBCJWXmaci9ht9NdMefzewcSqled8WLMS3tP1lH1f5\n",
       "u1mubp9tCLY5F1issfaJhzZ4Skb2+g0yk9rqlzpbaj+wt29aFmivX7qVxJqW+jubAbmQL0TEBNtb\n",
       "UyrDlefP9F7eNuAovriX9696dX2u/P7mwg9cKfV5ImK3Ojxud/HwfHdBtctbOtp4ikdEsv2m3NWl\n",
       "7dq03FvY2uAbDlTYnJF8h1vHp/XRnmsW7FfSuvEqmzHlxmqlYf/9on9s7nx5BhUXisWa7eqlrGuN\n",
       "ydjkrzRkaxzvjnRuWWNvqf3Q2Va/JNxa+8EWoEODZXrlQr4QERNsa06pDJevINOB8hkgAHwIfNo/\n",
       "b4z5Wa+uz5Xf21z4gSulPpuZ7SkZVegurLJ7y8Z2rQ+Z9bDWVr/UKQ0rPEUt9b7qWMxSbbPHCh2e\n",
       "sHZpf8bEY7zasn6asVsqK43rzXG+sq3bOq+4bbNvyrr3fuKKBucARCzWJY/7yx//yO1fdlDJ6I+H\n",
       "QpjsvsbkQC9N1VfB1k3W5jULXK11iyOttR9sJjEzPKfrPFjkQr4QERNsbUqpDJe/MNOB8gNjzB79\n",
       "vj5Xfl9z4Qeu1K5KRBx2b5HHXTiswFVQZc8rH5fVmdnddW5ZY49uWu4u3Lo2vyoetVaL1ZS68gbV\n",
       "4uPReFQAbAPQDf8/Nl1/yJcPPXTKHlNd/3zyyfUtH62+aKqn/HPLAk1b/fYhJa0NV1gwJQbCbS7/\n",
       "H94Zs9+Dg3nrxO5iJs4Hnc2exUU1zZ7dDmvK5rjevtJgmX65kC9ExARbtvm3Xa+58oszHSh/CTxv\n",
       "jHmuX9fnyu9pLvzAldqViIjT7i1yuwuHFXiKh9s9JaPieeXjQo7tbD03kLpCZEFTra80EnLUWKyx\n",
       "Eoc74trJ0je5ZmHnxkltfvsNw0YML3PY7K1rl694/YBo4bWZav17KbDupN323fvCvabuYflo8RJm\n",
       "zZrFPX+665V92r0/BqhuXFc6fsOSi52x8JcBohbb+6vKxlyzqnz82oxUKAuCsYjl/WCbe0nlpIaC\n",
       "ibMG7S4+GizTJxfyxSAJlMcBDwIWoGtYkzHG+Ht1fa78fubCD1ypoe7TEFlQVegpGWnzlo2NeUtH\n",
       "hyvZ2E8AACAASURBVHMhRLY3rHDEN692/T975x0eVZX+8e+5fXrJZCadFCAEQodQlSrYVhSw7s/e\n",
       "d9XVXeyogAXX3nbVZW1rxYIrolhQEKT33klIn0wyk+nt3nt+f0yCoQcSNLjzeZ7zhDtzzrlnbsjc\n",
       "733PW8yeSkO6HBUchFHtgjbWUUUkVRXsD3lNNlEb1POHlyrcHKjNUfMdb44ZO9Y69qyxAID1a9dF\n",
       "33ju5WeHC2mfnor1bM9g5858/NEsAKCU4qV//BPV5ZXL+9TR2wfuXX6JMez9MwF0FAj5NKZXVhcM\n",
       "+Vg+yvXd6q1x+OMRfS9zRhlHGLoqVnceBM5hjZBvuuvsle29/vbAH49wa2NhoSx/YO2vkRbo16BZ\n",
       "WNbvWtIYdle4fuv1nI50BH1BCKHRxrb9+kRz6qkWlGUALgCw5WQS8bc1D2WSJEk6OIQQkddatBpL\n",
       "pjmt9/ktReRvmtxblaMIukpFtX6/ZG6sNBQqcT6dNFkiBW2Hrl5THnQba1PIC/2H9cmornFGt+0t\n",
       "f6eEdcxp2cejIecP79Xb2rtP7wOv9e7bV6QCWwzgIEG5JuocGNMLE+VY3Jcf5l/O0lqOalmLKXFm\n",
       "qWf/ABDC9Takr7UK2igARKnK2mz2A34AhBDEYjEla9fuDSOrS9/hVKUHAMRYYeGu9G5PVaZ0ch7t\n",
       "HMvZhiklF44eb7c7xPnz5pVFozHfn6ZMGZiWnsG/89abF65ft+PevhrH1hO9bqeSumiIX0sVUv8b\n",
       "pAU6lUhGh2LK7hP1Vmw8ffbtkxyZjl8sqRzA1pOt6pQUlEmS/A5pFpHalE4dSkTKkQAJuvaKQn2p\n",
       "1uR36TupCuMgrGoTNHFJ1HeIdC6tocZEH3hyxkN9DHodAODFf866vnT57h/zDLYDYZw0LteZzGZl\n",
       "+bJl7AUTJgAAFi1cGOXj6oqWycbXxJzDeo4dPu3a669L8fv8ePiBB3to3aHrm4ViS0JylN2oDb1y\n",
       "4y139RMlgX3rjbe35TR4b03TmIISyysbd+8td3s8GVaLBRW7d9Pu386vH9hQdxMBWJUQZ70+9e/r\n",
       "8gctOtZnW1FfWjD62kvPnzh5ohEA0tLTiqsqq+K9+vTmAeBv99yd8bfb/3IjArizzReynSgPe6U1\n",
       "vCYeKz7XaegAfr9JkhyRji8oSwEsbIr2bk4H1+q0QUlBmSTJ74SOKiIjPicbbtgv6l2lenOoUdsN\n",
       "lNgZTkkR9dHTKbCmJQaTwdwsJgGge1Gh6bOFa+0tBeVAzvb513O/GN29uLj/M089zQUDgYhrf+WH\n",
       "w3nHNy3nIlbD5Guvvy6FEAKjyYjLr/y/rrOmP9VjlL3LukPPuzZef97tt00Z0LO4mAWAnOmdih/4\n",
       "6z03psH0AgDkeZm/Tb1/6n2DIsHCETu2ZJXIsoMCakjQvr8xp9+rXp3luJbfMJTUvLxcQ/OxJEng\n",
       "ReEgyyfDsB3GPallJLfUwSO5kyTp4JQ2NaGpEbSuXjiApKBMkuS0piNuZzdvZVN3hWjy1hjSoiEh\n",
       "kwA2VoxbtObT0q+tIugxVKWwjzrS0+yuujpvpM63f8++0n6d8/M4VVGxaPGy2q6G1PKWY7ScqAwK\n",
       "M7et+GZRkUopM9iWt62QtR9mPZPleFyOK+CFxNexz+eTWeCIvz/CsSar1XogosdsMoJwrKn5K7/E\n",
       "50q5bM9us6DEuwKAzLDbK605j+3ILN7e2s/aWZOy9fPPP9/fs1fvXI5nUVFe7p/z6acNPboXdbLb\n",
       "08hbb77hUuq8H0KSWjvlKSGmymRT2KfZmtLJY+g+pvF0iuRO8j9KB7dQUkqntWV8MignSZLTjI4Y\n",
       "WBPxOdmIp1LQuMp0hpBb62jayrbwkqz7HaSiWSH5Xn70qSeHGQ0GhCMRPDDl7g1KKLTbnuEo8vn8\n",
       "EcYZfObQ1DytZWvQmc0VZr101bXXdKp31UXfmfXm8mFx81+PFAm+J+CyoSjz31Mfuj+HZTi89PLL\n",
       "tZUrttw1DNL+PvvXXKuLBq8hAE+BgE9jenVN/uCPTyYV0OZgbW7Urr9L0moFv7NhcZGi/2wT8V7L\n",
       "8GyqLky/6CvZN5/MZ20vgnKMXRcLivsyuteZup4Z/C3X8msQ9lRx5cveUX1VWztkMFRHpyPoC0II\n",
       "jboq2jSHmJp9qoNyCgFMweGVcka3anxSUCZJ0vE5NMXPby0i5UiAhBrKROquEs1+p94UDQnphNAU\n",
       "lvtdJhrfX2D45L6pDxQ0H7/43HNV5g3VE4R2ikDf63dZqrjomYjJ7qGGrJ+Plq/y20jN/zE2+wTC\n",
       "IDXucdWlRdRHb3BWpKYEXH9jKE0HgAgnfrkjs8eLteZMd3usraNRHw0Ia6lKnAVD6oyZxf8TdbCT\n",
       "grJtdAR9QQihsbq2ZecS7J1OeWJzAK8CWAeg+UGUUkpbVW41ueWdJEkHpWWy8bTe57cUkb967WxV\n",
       "jiLkrhBkd6Wg91brTWG/1BWAjRBq4jVxXSt8805n6utdfllWwXEMKKWora4J2NsxnVGBIdVTAHwB\n",
       "zdH7LPZXlWSNHHtd9zPHmwGg/utPmHPmvPmATY4VAoDMsDtqzJlPbs3uvam91tXRKA97pXWcIIe7\n",
       "n+00doDKTUmS/M6IU0pfPdnBSUGZJEkHoqOIyGYBGfO7eKO7UqsPebQ5lBI7IdTCibLhNPWFPFnE\n",
       "Gu/0+++eMrNzYaG5bO/egFrtngnRfkJz7PA77f50/TSrzWZwVVdXdvZx022S4SALmzPs0+7kglcw\n",
       "LCvZAnR2N6PjQOI6P0cGD+w/1MwFAyj48j2M/26OnlGVQhXE59OaXlmTP3hOy5ySzrBPuyVSX8Iq\n",
       "anC4NXfNoVbPDZ7KzEZe7amLYedAa07pSV6aVtMYDwsb3BWFGpYPDrLl7TuRsQpVsTPUqN2ktwW4\n",
       "nufUa5LBN0lORzq4DyWALwkhfwYwBy38uCmlrdrtSG55J0nyG9NSRP5WFWtaCkhDQ7nOEPZqUqjK\n",
       "2EGokRVkoyDFf2/b2CfKxpCzs8+mn2ZPS9fXVVfVp7nC9x6tTvahUFXBOnPs3SefebqHIAqod9Vj\n",
       "+oNTvxscNd/X3Kcu4tOUp7Kz7r3/vu6iKOL5554vU3dU31pkcDgBYLG3fPTZnbIeH7zuZ1Hwe0FB\n",
       "sE/SrvGmdb+nzpTW2PJ8pf56c1Wa7rXzL7+ySyDgi303+4OVZyrmu5pF5Uq5bnzhkIF3DR8x0r5h\n",
       "/TrPqgUL3xpKbO+15/VqSVnAbapySP8cf+GkfE9DfXTZN98sOlM1T2tNxaCIEmc2hX2a7akFDYai\n",
       "kd7/xeCb5JZ32+gI+oIQQmO1J/QcdRhCWv6vkdj8MFFIKc1rzfikhTJJkt+Alj6Rab3PbykifxVL\n",
       "pBwJkLCnUlC8tbzRV6vThn1SDqUkFYCZE+N6yXBa1cr+NQinmWfcM/2JbizLIhoJ5zw39f7HusRw\n",
       "a2vGOqMBXVGPvjZBFAAAtlQbHOkZ2Sj7xVNgB/Wdc88dj3RPT08HADw49YHcO2+940YAj/UpWz3s\n",
       "LF/dn9myRHLr/aaU6DxjyuJ8c+d7jyTK9unoX+6876GuGp0eAESWYYd8+49/DhlpyVsGALqstCuv\n",
       "uelmOwB0Liy0lO3dM4nuC7x3qkpC7tfTu+5+eHqRVmsAAFGSpLMW/fudT8+w5W851jhvLMytlaN8\n",
       "ecGgmt9L5Zsk/8N0cAslpTS3LeOTgjJJkl+J31JEhj1VXCxQz3GeKkkfqNdZY2E+hVJYGIaaWEE2\n",
       "aUz/E8ENJ4svHuHTs3NNLJsQXKKkgdWRZkFF61xHbaIutHv/L+oxHpPhbqgP5EF7oA8h5CDLAyEE\n",
       "OSG/cfS+ta8ISnwoACiEqazXp7ywJbvfwgJWOOr2EstxkqT9JU+m0WzhVZYxNR9rNJqDvvu1Oj0b\n",
       "pz5GAHtCdzxZlckK4rnNnOboGfT7woa64JPd9Y6aQ/txkqBvEpMAAEdGpkZmkXKsuSvDPnEdyymB\n",
       "4vFVZlvuaZP0PkmS0xVCyCQcbqH0AthMKa073vikoEyS5BRyjDyRp0xExoJuJuqr4xVvLa/zObW6\n",
       "iE9KVVXGCkoshFUNvBTX/Y/5QLYVIy/Ft5aXeRVFSW+yUMJd53QDhsP6BuIRbh1pvJ7h+Qwpqswf\n",
       "INhXcAxHQxXOZx964MEpttRUw759+zR2e2rqSqX2lXRX/IEcndVXCMPXL73w4qSrr7umW4ZGwq57\n",
       "7/bfWFk+mgAMBQJ+yfiv9bkDZ4dFbfx4dkRtMPrJnPfe7Dfx/65LjcaimPvBf/Z1YY0/N79fXbp/\n",
       "3dZNG3N69OotlZeVxffu2LE9g005YfPJCuL+03V3/uWK7sU9xXgshkcfmupodIavMvOag/5/M77w\n",
       "t999+Xm/cX+4yCzHo5j3yUelnQXLYYnbm9ke8mg3a0whFI93aTtAnfkkSdoD0sEtlACuAzAEwEIk\n",
       "kpqPQCLiO48QMoNS+p9jDU76UCZJ0s4QQiRea9FoUzqZNdasU5onUo4ESMRXy8eDbk5qrJZ0QY9G\n",
       "L8d4GwAzIdTECrKeF+Xk9nXb2Rh05occpkdSHHaDs7LKlVYfvr+Lwe6OKXFmk7c6W8PwkUKjvW6l\n",
       "5P/HvVOnlmRkZjKffvyxZ9m8b58dzDu+BhJ1uDdZ5Peefu65bhzPIuAP4sF77v25JKS/Y2O4rlCb\n",
       "aX7yD/FodubyJQyvKKCAEuE1n23P7PFanSm98XhrbMnKcO3AiEGarMhKPNOvvFhosB8I8KGqgqW0\n",
       "/ipOpymOBcNlJbC+LrH8ieertNHXH5o5c2Dz8YJv5/sXvPaf6wbb8vYe2ndZzHkOazWfHYtG4hZ3\n",
       "+PliQ1rVoX2ak5XvsGY3anuc5flf9Jc8EkkfyrbREfQFIYTGq3a0aQ4+s9up9qH8DsCVlFJn07ED\n",
       "wLsALgewmFLa41jjkxbKJEnaSNNWpSgaHTrJlG5M73shp7MXKHp7lygn6dutYk2zeIz5XbzG5xR1\n",
       "QY/GHI8KFgJqA4GO5RQ9J8qSoE1aH08BvXWOfQjgagR86AoDYDDAHQ2IO4zyy2MnXdbF7/MpS35Y\n",
       "uGb8uPO6ZWVnMQBwyWWXWjatXXsB6pEQlKrC5BcUmDg+YWPUG3RITXekL9+5e8qwuHfC+A27ddST\n",
       "CKgsdaTTVZzu7yZb0adHWo9KCPySUfJpTLqQqNNFeUkf40RdnOV1MsvpVYaRKJj1hBCuipDzKwnh\n",
       "KQhPCeEoIYlq4hS1BFRYAvwZFCpJOHmpBFRhVDXCUDXMqEqEVZUwp8phTomHeDkeluKRkDno9gQC\n",
       "e4KRcBiSJpHvqGzfvmCqqD9iROhQwTEfAcwHRMBgOuz9Zn/J/bn9nZa8kt91Gqok/6N0fAtldrOY\n",
       "bKKu6bUGQshxd9WSgjJJkpOgSURKkiVLb+7U36BLzWe1tlxFl1rQLiIy4nOyMb+LV/31nCbQIGki\n",
       "PtEqx3gLQK0AaSEekzfeU8gWf22mN0W6g+N4gTQGPi0RHEsPel8I3vbIjL/3t9lsBADsjrQzN25a\n",
       "f+CLl1KKuCxToElA8pK8qbzcTylNJ4QgGokibfOmrJu9DQVMnTPhvNSzN3xX/xkLypxkd3n9pdTQ\n",
       "1aKwnEVhWItCGCsljEUljJUSYgIhpyaKprXQkcqf3t6k6EWG0HhYDke6+PnhfW8tVRW3IEdrpXjE\n",
       "aQx5ax3e6lpL0HPUB53ysFfawPJyoHh8lSXpL5nk90rHF5QLCSFfAfgYiS3vSQAWEUJ0AI67Q5IU\n",
       "lEmStBJCCANA0try9Ja8gQZtaj7RJQJrIie7NddsdZTDXpb3OkUx3ChpIgExhaqMBYCRMKqB4RUd\n",
       "L8iCoE0mcv4VKfXXm0nXzJcfffDhXI7n8ME7b/dYvXDpQwNF+8rmPoIk2prFJADk5uVKH/7nnV0r\n",
       "li/v2ik3V/pk9se1co3nDWjSAABRTmADYe2rt0994a/FkaB12OoFmot8LhEAaszp+KLkMmzI6Qfs\n",
       "JADyAEdeAXCMSHJKo4TSIAENEkoDhKpBhtIgoWqAoTQK0BihVCagcUKpTCiNN/+7aQZCAQaEsBQg\n",
       "AGFBQCgIqxJGQwmRmn5qaeKnhoJoKCE6lRATCKNXOQk+BQAjCNCbushAl5ZLrLZmY0dWMQhV/Yyq\n",
       "1jJUcfKKXCnEI2XaaGC/7NxTV87y+7ge41zaZH7JJEl+S24DMBHAcCSCc94B8BlN+EaOOt7gpKBM\n",
       "kuQYkIQFSKNLLTBY8gfr9PbOSFgi88InIiLlSIDEAvVcPOxlia9O0IYaRTHslYyqwppAYSYEOjBU\n",
       "xwmyNpmyp0OwF4Exf7nq3lxe4EEpxRVXX2O7f9WqCyHjgKAk/tiCr+Z+Oei8C/5gpirF559+WpUV\n",
       "4u9+8405wxVzRk9qyq3H4AGjv2K5qxXCZquEySys2cZesOYzFDh3AwDcOiu+7D8JK7qcAcowYJUo\n",
       "JBIDiYei0TizVGTFUlaVPbwcd4ty1KOJBT3GsM+T4nM16mLB39SaFxR0fIMx1eyXjOawoDVHedEc\n",
       "Z3lLjDBpcrzxAmt6tiUQJwjEAMqwBoVlDAq4LnFOREjUoVGfAqR0ggREAOxransBbAewFUApjpAX\n",
       "L0mS05GOHpRDKVUBfNrUTpikoEyS5BAIITwr6CStrZPJVjhCo0stgCYlJ663dz7u9nIs6GZiQTcn\n",
       "h70s8dUL2nCjKEX8ol6RORMBjCDUQAjVsYKsETRxgeF+9TKKSY5PSI6yVCdeXl5WigXzv4RBb0Bj\n",
       "YyNC4ZAA3gIg4cOYmjV029xl+7+ev+394RFWr4lqz4ioY8d/DkK0h87ZpWY7/rDmM3StTTjmR3gp\n",
       "tiyn33bnhZOKzxo5jL1MzyNFL+CBu6eUBesaPrdFyHdFhjTnofN0JHSxYFxXH3QBcLV8/cd47a1/\n",
       "m/GoJS0tgwDAjm2b5bdfeeP51E7DNwQlfVqAFXJDvNhJFXTphGFyAaQC6N7UWhJCQli2bDuREKBJ\n",
       "kpxeqB1TUBJCllJKhxFCAjj8AY5SSo2tmScpKJMkwS85IiVTuim1aIygd3RRtba8uMaSGTy0rxwJ\n",
       "kHjYy8ZDHk6O+Fmt3yWKYb8oxIKCWVUZEyGqkYDowFANyyeF42nIBk9VwWW3XZ+24McFeOSRRyBK\n",
       "GlR6wnj61fd7fqfvNiXGiYUKyxVSwugPGZoKAISqHlaR9/JKvKzXjkXS+Iql52TUlDc5UuqwUtRt\n",
       "Vi1db63lRaVq44/vFV46toDnOWzdvCUaafQtPINPfxd8+36m0kC9qcrM3itpdfqox7tyKLG+f6oS\n",
       "mROWTbGmpBxwBbDZHRwr+3S9ytdv3x3y7K+UDD8p3cfWSZKhObLcCCAPQAESW+ZFAHoAyAAwsKk1\n",
       "IyMhLNe0aNWn5IMkSdKedJCsOodCKR3W9PPQ77MTIpk2KMn/JE3+kKJodGglU7pRk5LD6lLzVY01\n",
       "Oy4ZHcqholEMenhNxCey0SCvVWTOgMQdUE8I1TKsqmEFRWI5JblVffoT5QR2hcY4LLd/8RN1YUYr\n",
       "pOSgwh2BrB7+XdkkHPfwSnyvFI/s00d8+9I9VfsyPFWN3Ss39UxvrL6FV+JDAIDodNBeOgnaSRfi\n",
       "b4+9sLhPyHQnAGwNOrNDDv29RoNRqq9xbhmkml88tO52WwnEI9wWs/rWvTMe66HT67Bq2dLQ52+9\n",
       "PesMxv5Oe56nmfXB2m72If2ev/qmPzlUVcVrLzxdHdmw8+YIIzbuSsnxnEBKIAsSwrIHgOKmn10A\n",
       "HPqHVoNfxOUqAFsAtMocVL9rialx/9rugs5SlzP06sPSHXUEkmmD2kZH0BeEECqXrm/THFxe38PS\n",
       "BhFCzgbwAhKRf/+mlP79KOcfCGA5gEsopXOO0qcAQBWlNEIIGQWgJ4D/UEpblbIsaaFM8j8DIYQD\n",
       "IOnsXfSW/MF6yZzBivoUMLwkg6pE01itFer28GwkIOgVmdMTQvWgxABCNQyralheEXlJFkQuGYX6\n",
       "O0ElBKX2zum15ozioKjvGePEHjLLFYEQydPs4FCfCE52GAX4avYFOKJ/Wx8J7MzwVO7Mbthf33I+\n",
       "QlX0LF9fkuqru45X5RIAUIHQ5s5d5DHPP2lkDXps3LIjEvYHN4NNpM7poXNUIIDbEFBQCNvhUqkd\n",
       "2OqtyRlxyVU5On2iek7J0GHaBV99OQT1OCWCkleod/OKFQsf2r6tmGUYF3F53wgIpvravJI6U3bv\n",
       "E9mu9gD4uak1owXQF8AAAP2bWjqAPzQ1IBGRuqxp3BIkfDMPo3r1R11T7Zp/j7zl9jzn/j2N21e+\n",
       "+b6t/3VPnshnTZKk1bSzD2WTj/8rAMYCqAKwmhAyl1K6/Qj9/g7gGySit4/GHAD9CSGdAbwO4AsA\n",
       "HwA4tzXrSQrKJL9bmqyQGsLyesmcbrGld9cYNCbRyHJESwj0fhfR+V3QgRIdYVSJMFTD8oqY3KLu\n",
       "0FBVwclu1UZ4iduZ0b3Qrbf1CQuaPnFW6EMZ5rASgIyqVDDhxipDtKKXkQS1mUYWpSu3x8zx8D4o\n",
       "6GFyy/OyDY4DYpJQFX3K1pyZEqi/nlOVngBAgUBI1M3enlH87nesUvDtU6/crtdpudoq54YhxPHG\n",
       "SV+Ak8AkaP21NVURNJX2icfiCAdD0SNV+mkrq8O1vS39uj171yWXWctL98U/fe/dmoA+fYdcONJl\n",
       "smS2R6aCEIClTQ1I3CALkBCYA5Go9NEJiZtg842wGglh+TOAnwA0AIBOik+bcPvjBSzLIa/XAGs4\n",
       "4Lt475ZvZzmKxze0wzqTJDmIUxCUUwJgD6W0DAAIIR8BmIBEUFtLbkci0GYgjo1KKZUJIRMBvEwp\n",
       "fZkQ0mqzalJQJjltaXrqOtDsAKcDJB4w8LzG3Mdg1+s1RsYs6qiN18T1nCiLDKdoOF6RWL5jekef\n",
       "hjjDPm1ZsCEtV5dS69AYW5UXk6oKlrj391Y4klLAm9bk6Ky+442JKHF2jeCfkVuY3z0UCsvu/ZUf\n",
       "DGZSPz/WGLcuRbsnrWsvn9bcN8JLfWSW7wlCpJZ9CFUbOSW+VYpHNuvDvq2dXKVb0rw13mVC45NP\n",
       "vPwPLSEEP3w7H4OKcoUzBg/sFY1G8eCMJ7PcdYGr7JwY71O25ixL0HMtS5WuAKCCNAYl/fvbM4pn\n",
       "uw22AAD0A9bDh+vgA/KZ9NZconalm9Hh+nnl6nlzNNoLc3Lz9N/N+7JC7wo+C/3JC8rl0dqzFJHt\n",
       "y0WVVYPFtEXNr0es+vtv/MsUq6IokEwWvlt19ch5izZx2S3EpBwNktiO2c/kFhQMiIRCclW169+G\n",
       "Pld9eJJLoQD2NLWPml7LQSL1yXAAZyDhi3lpU6MA1gL4XmPJMjItHk5MqelidP0OI5oEZ5Ik7Ur7\n",
       "C8pMABUtjisBDGrZgRCSiYTIHI2EoDyWO02MEHIFgKsA/KEp33KrvbmTgjJJh6TpP/JBgjEH4M2A\n",
       "IAKiBHATAEYHQAJ4QhghJBl1kAycRp9CTVpz1CpoG09V0EGSBGvirqGmotx7RvQ9z7Jh7Wp3xd6K\n",
       "JwfwqSuPNYaqCpYJ3scn33nTKEd6ujT7vfdKt+6qvb2HwXHMwIo1xHPLXQ88ODYvL58HgHfeeOPW\n",
       "9V8uWt3XmnXAr8yjs2h2pxf19WrN/SO8NFBhuKJDk38zqlImyNENumhwg72xZkOX2h3lzBF8yRVZ\n",
       "kaPRKCRJQm1FGSZfdSkAQBRF/OGsUdnRx5++vmc0MI6lag4AqIS4/JLxP1uye3/m15g6XBTycJry\n",
       "8trPvv5ieTxsKTKm7UnTpx0WcNZalqL+zktvvnZSyeAS3c+Ll5z33w8+/mAobK8DgCBJ9lg8hqBK\n",
       "oU3PgCMjiwu7v+6MFje+8NaP7rjtvgcmFhQWCQDw0Zuv3fPNgndX5Ay5srTNHzRBORJbdR8gYcEs\n",
       "QkJYnglgKBLWzAFC1ih8++U6mpXrIBYTh61Lfyx1FJ9b3k5rSJLkVNMaX+sXANxHKaVN99VjbXlf\n",
       "B+BmAI9TSksJIXlIlF5sFUlBmeRX5xCxyKDJupgCCLqEYOTHAawZCY98CwATQJuaogDwAqiSjJJb\n",
       "MuiIzsKKGpPqELRRLS8lK8f8inAZttvvuO+BHAAYOe5sw8yp9/0FDbjiWGOWN+zvevYtV50xeswY\n",
       "CQCmTp+ed88df7kLEdx9rHGSUZ/fLCYBoGTwYNuy75Z2X10wJLNRaxkYFaQBMsN1R8JXNgGlMqfE\n",
       "N4vxyHpD2Lc+p750Y4anqlUO5ile+eWnH51edOX1N+a5PR4aiUSJEAkj/N8vkP/+h6IYCd8AAAph\n",
       "Kn0a09ubcvp9GRa1Hdq/tr81pxwJsXXSUFVBdmH+mSNGjdABwFnjxxlWrlw5FnuDrytURYO7oX7u\n",
       "9/PNF155Perr6rBs8UJZY8k8SChqdZoezWISAAYOO9O+8PuFvZHIO9neUADbmtrrAHQAzoyFPFdy\n",
       "gnZYHCJXuteFUgCmnld2IYQ8h4Tv2BIAHfr3meQ04wQtlItWrsNPK9cdq0sVgOwWx9lIWClb0h/A\n",
       "R4nbLmwAziGExCmlcw9bHqVbAdwBAIQQKwDD0YJ8jkRSUCZpV1qIRQYttqJbisWxAGcAqAVAs2g0\n",
       "AqoRUC2AYgOiLfckfQDZC4g1rCBu1pr1ssbIC1oLNJJByealaNIK+dthMlskAPjuqy/hctZA0mpz\n",
       "l9VVXDyUtX9ytDFRVdGkpFgPhPgKPA9BEPnjZRaM+AO7du7cOYy3ZAubK/34ZpU77h95+2P+gwWk\n",
       "0iQg15hCjWu61GzfcKySf8eiu8HhLC2tv+6VR6aNTvc0WH5esvD/it0NZiYehwgQmWF3eLWW/2zo\n",
       "1P/7OCcox5/x16M+4pc2R+oHEZVGB5uyV0ss377rO0KmOn88wm2KhcRqnp+2aeuOF5wvPmOT47Ls\n",
       "qnd/kzngyrKW3YOh8Pa9O3ecVVDYTQCAtcuXuqLQbWrXNR6dYNXq2btMmfYu+edfw8VDMdRu3RpR\n",
       "qc7NcmIGgMlNzQNgPhLichlaGTWeJMlRUU/sz3DkwN4YObD3geMZLx/mer0GQBdCSC4SfsKXptfX\n",
       "agAAIABJREFUAri8ZQdKaX7zvwkhbwH48khisun9n5AIbOOQcAtxNeWovKs1600KyiStpjWWxWOJ\n",
       "RR2gpgAxE3DMWtdRADsAoZqwQqXOYghKBknQmiFJRiVVkOICK5yUQEjS/lSVlpYv+fGHTmajARdO\n",
       "uAAApM8+nn3Lqs/n7yrRZWw80pjelswdn86evadHcc8ig0GPjz+a7ZEbfF+Bl47UHXsdXdKrrDmD\n",
       "A6Iuf8YCL6Fs86/fwAOUskp8Oxf0bDVFA8sKXaWreU9lrCxQn5qlszZYBG2b6qqf76nq5PDWDuOV\n",
       "2CjStFXkZ/nVfoN91nxb7o4KK/tIil1/eYOrviGjQZ6Wo7P6Vip15wpW0/hYNBI1uiLPFhkcv2py\n",
       "8sqQR19pF+bccdODtnA4RN+a9cbW/hH9tVpObBdRSRgWVftKF/7www8XlwwcpF/68xLf/l17F25V\n",
       "DcTTbVSVLb3bvl3rP/tDZfWGcyNxWp7S/+qvGU44aA5t98teePXpJ3JyO3fuHwkF5aqqujdyhl59\n",
       "xEjsU4EcaRjTaejVGQzDQNRLyCnpJy17+b7l2UNveQGJG+oEAIUArmhq9QC+REJcrv611pnk9wVt\n",
       "58TmTQE0twH4Fon78huU0u2EkJub3n/9BKc0UUp9hJAbkEgX9AghZHNrB7c5D+XxciARQv4I4B4k\n",
       "voz9AG6llB72JNoR8kT9L3Mkn0U7wLYUizqANQLEDMDYJBpbWhYNgGo6iTJpUQClTQKyRmvSBUSd\n",
       "xGhMjKgxqXpBG9fyUoey/pwOrJDrzuUtxnHRSDic0hB7ttDoqD/+qBOnPuKXNkqhD1/+16xOLJPI\n",
       "d+N2uzHjb1P+dQab9trRxpUF3KZKo3onLwg64o/ML+HtC5vfC4h6YVtWz36NOuuwiKAZpjJsbsux\n",
       "jKpUi/HoCkPYu4Lfs6iWt6gP9xswIGXXzh2+yh17vkjLSf9D/769zBu3bPP6Smv/3k9wHNGnc627\n",
       "PKdRjWVnCYadLa+PJhriiys2jDOFGy/jVKUHAFAgHuWlryot2e/tSe+2DwBWiL5Xpv/9iaFmkwl+\n",
       "fwBT77tvFfGGPh89ecK9Ey660ByLxTDtwal7rft912ZozYG2XOcTYQGtffP5l17oYzabAQCbNm7C\n",
       "C9OemDnGmHtUq/HJsCJSMyImkP7BYHSTx9z5G67bSI+gs57UHTNYXyYwNYuedmRkdvV53CGXnzyQ\n",
       "2veSne253paULXltTNexE15P6zlUAwCBukpl/fsvvtjpjD8926JbIYALmlp+y+EAZgP4BIn8l6ec\n",
       "ZB7KttER9AUhhMrbF7dpDq7ozMPyULYnTeJxHBI1vKdSSlcRQjZRSnu1an1tPHlrciDtA3AmpdTb\n",
       "JD7/BWBwW86b5MQ4klhMBTgrIBgA/lCfRSNAjAA91jZ0WziagBQ0RqrjtfEUQdPhAhpOJ5bLdeeO\n",
       "nnjBlPMnXGCORCKY8dBD+XXVvmvskrHdLbs2yRARY4H3tmza+LfeffpKALB548YgG1W24rDig8Dy\n",
       "YOUQWWR7aAldPlzNmI4IAN6IPWldMyutOcOCon5YnBMGHhSJTdWAIMdW6aLBFbqKjdvi8T1XGw3G\n",
       "LG99QxH0usseffK5zizLAIDlwbvvuunxR+6TCCGYeMG5lvsefvxONBy8BQQAK9BwVf+J467q07ef\n",
       "dcG331av2bD9sQmByN68uj2TtdHQJAbUCgAqiDcsaj/Z4+g6u8aSdVDkb2an7AyzKZFL0mDQIzsn\n",
       "J622qmr8hIsuNAOAIAi45PLL8/7x8OPFGVrzina65MdFEIU0Q4vobYvFihhR81bGnKOIRX9+PBqL\n",
       "2tyx59r6kNGZGJZviCora/OHuCx5JW3zXa5e+PhtUx+dmJaZxSiKgmenTvmnz11xtsaaHXdu+Dzb\n",
       "IoYe0+n1moYG93K3u7GaZZRzWF6zxVo88QXJlH7CqYhyhlz3w96Fb/3XV1U2mpU0bO3mFZsdvS56\n",
       "8ZBuOwE83dSKkbBaXgQgF8C9SBhKfkIisvw7HGfnJUmSE93y/g2YgYS1c2mTmCwAsLu1g9u65X3c\n",
       "HEiU0uUt+q8EkNXGcyY5hCOlzzlSgIsRIE2C8ZSJxSPhA8h+QKglrFCrNelCok5MCshTh2Axjjt/\n",
       "wgVmAJAkCZMuvSTvjelPFdkl4zG9u0+WYZz9s7f+8WpxQfduA2VFoeU79iwcrs1ccmi/5aj/y4Rr\n",
       "r5jUt19v/TffLrjsx0318+TMEhIRNGccaoVkFXmnFAsvTQm4lnav3LxZikdkWZXJOkP0nSefeaZY\n",
       "p9dhx/btfV795z8DTWISAJCaksI1OZ+DEAJbilVLXd6D8lZGlDibXpg7+cqrr7ZSSmGvrc7YO3/u\n",
       "s0WNbpE0pRWXCbvLrzF+tCW79/ygZDiiUGhwuYKqSsEwBJRS1LtcoWgkEgoFg9DqEgnEq6urwwIl\n",
       "npO9tlRVsM3ndHAMq7RWAMbD0e1vvPFm2g03Xg9ZVvDmm28ojEqdg847a+rkSy+zhMNhPPrII52d\n",
       "Vb5rWpvmqSUKVbEn7NNskvRRuXCky9IOuSVtqfbOaZlZDACwLIs+g4Y65vz3x3RjZg9XhoW+c8e0\n",
       "lwp5QcCzD00Z3LVkGJOSkU22LV98Vs22OSX2gTdecuiWOgDUbJibTmN1DzEsK8gy+SBr0DU/Nr/H\n",
       "cAKyh948xbnl2xQlVitkDryu5khztGBLU5uJRLT4ZQDOBjCyqTUC+BzAh0iUhUyS5HA6uKCklH6C\n",
       "hOW9+XgvgEmtHd9WQXncHEiHcD2Ar9t4ziRIWB0LgcwMQLoICctiawJcfg1qALYS4J28RnJJBm1E\n",
       "1ImCxkRFSa/qeI2cyktJAXkEqKpgORr+z5CaMjQUCkUNzuCT3Y1pJ+x/F4uEw5FIBJKU+M3XVNeE\n",
       "JYb1t/uCmyAMizOobXpoYxXLEAY5bMph35pLghVj+KzMiQ1Chv69jRFsiPexBgvUqw7MkbBCLtdH\n",
       "/Etz6/YuO7QCDQDs9tfbBp09Lr252ku3oiJBr9cTp7OWOhxpJBwKYV/Z/mBDg8eUkmKBzx9AWVl5\n",
       "tYOxHjRPSI5yNq2Gj346G77334W4vwzdAQ1lGOzVGmpF3vDg1uze6+nxymhWN86cet9904t79jRt\n",
       "27rNq1S7/+6IkfKHH5xaMPnSi/OdtXXh7+d9vXBYasFJbd2G5Ci7Tgo+P+ySc3pEwhFlydJly4bL\n",
       "5mnHC0IrjukeWrls+ayysn154XCE+p0NH1vS03pNvvQyCwBoNBpcesUV+f+aNrOXQ2M8IcupNxbm\n",
       "tsTD4h5bfoOhaKSXb135xOPS6HZ7wqEQNNqEWXvv9q1eQ3q3+obdP3eZcOsNnTavXoldWzciNa8b\n",
       "O3RCwuCc32sA5rz42IDqdZ9nZZVcetBWcP2uJSaeC34w5MYZXVlewPZvZw+oWvn2XzIHXfNTy34n\n",
       "kcBcRcIq+RMSX7kXISEuiwFc29RWA3gbwFdIRoknaQFVOragJIRokNBp3QFoml6mlNLrWjO+rYKy\n",
       "1f5yTXUhrwMwrI3nTJKAdAak6YmqEb8Z9QBTA/AuwvJ1kkHjFzQSJAPLSEYiiTrFzIuyhhOTqXxa\n",
       "wTLacMUlN1xzy9Dhw7WxWAwzHnoos67Sd/WJblVbG2LPznj44fxJl1ycV1NdE14w76sfhtnyj7lt\n",
       "sTHk7OrTMBdCll29YXnPyEsnfCM8UtDHzvSinFKBTjPlTurljHDMZ7sogEQOc0EOxHiZfpjidy3u\n",
       "UbFxkyjHDhq/0+e0UYAU6m0uwrBIFXX+qoqKA9ZCRVYQ9gf3zHz4kZoUuyOn0e32GZ2Rpx6aPvPP\n",
       "1pSUdHeDuy7LxzzWvPVOqIpu1du6O7w1k9idP6WGqQoeALFYoLloEqSJk7Fw8RJp1Udf1/UhDGRV\n",
       "JisU1yXg2FxNlH7fX3IcZOHto7Fvi9XGL92zb6GlQGtplES7AhFwOwPXvPnos90khgsMteWddG3o\n",
       "1fDc8LcHpg/Jzs5mASC/c5dxn7zy2sLhuqyfjjXOoTGG7Kruj3t2Oq0OXhOySRmRpTHP4+FwGBpN\n",
       "4h7hctVFOYoTesjYG27UbObEuL/bqCpTerd23d71Im3K0/ffldK1Z+9MZ1VFqLqm4Rlz79GhYN3e\n",
       "+p++mUf7jr0A1vwixORf/ovwogSGZQhzhAh7f/XGMwb98c9dOSEheIvGX5pau2PD5UgIwfaiEcBb\n",
       "Ta1HNFB/F68xjWNYfiASCaSnAXgfwHv4lXwtk3Rw2jko5xTwLhI7zGcDmA7g/3B41Z2j0lZB2Zoc\n",
       "SCCE9AIwC8DZlNKjbv8QQqa1OFxEKV3UxvUlaUd8AKkG+HqAqxd1YoOg08qijmc1RiKIelXkJSWL\n",
       "E2PJND4nh85mGTJ0+HAtkPC/O/eCCdnvz3yus10yHoiy2xSozYs59HdpNBre52z4aQhr/+jQeQqN\n",
       "jvq6Kt81/57+VHcNw/qOJybXRpy9Ow3pPfORm29Kq3e51KeemDm4X4j908mkmtkZaLBVZmY/EE/p\n",
       "nBk152spJ2YCQCQMsAQozNAjWrUZJTmGwA+ffvSfoST134fOIasyWSn4nhh0wYgBLMNi6U+LNzBR\n",
       "ebUpxz7as3df9OWXXmwoKuquWfTDwhrR6ZvZX5NatqK88lJWJ/X3mfnJ/SKGh7VOogApgBYwBT3a\n",
       "ouqt5+gjvkmcqnRrPk+tpHWtysvXXjfr3zoiJoSHTqdl44rMU1XBSt775G33TBnRuSBf+Pzz/45b\n",
       "9vUPzw7i7AftsAgsr3Yx2A+ycllFfXSkvcsRI9xPBIbnM7Oysg78MeXm5UlU4HPRClFEGBZdDHZ3\n",
       "87HNHXv+sWmPdL7k8isKXK666LxP5/w0PCW3VVuz/niE2xYLibut2R6pcGSjQdK3LZLzCNh7nOUG\n",
       "MGHNrlV6vWNIyNjbrAKAIaPIrdG7410HDNZEwxF88drTKOgzELwgYuvSH9BQXbU1Y/CfDhdrlDSG\n",
       "vQ1RACIAxCMhKHI85K3cpBG0FlljzW5Xy2Hl6o8DVKPpnTb8jyyNxUG9boXjNakA7kSi7N03SAjP\n",
       "5cecKEm7QAgZiYQrQpITozOldDIhZAKl9B1CyAdIlCttFW0VlMfNgUQIyUGi4Pj/UUr3HGsySum0\n",
       "Nq4nSTvRbHlsALh6ySg1ClpNXNDwnKgDL+qowGvUVF5MpvBpR0LBYDASDkNqsiKV7y8LmXjtgQew\n",
       "soDbpC3KfnbmQw/kciyH7xf80P2L9z4OD2LtXxw6l10yhkdLxrWtOS9N0V9z+51/SSOEIKdTJ+bi\n",
       "yy/v+f7fX+w+0tG1VekigoKO35LTp8QtGcbFRfFclZV+eaJQlaCVNjCXjxuoKc4yQCuwePThtxoX\n",
       "Lq2eOVRI+/7QuWRVJstjdRfcdOedI/v26ycCAMtzIwwGw7ARI0ZKn/93DlYsWx5eNv+HF4eZc76w\n",
       "6tKiS2nd7dfeev1lgwaWaMorK5QnHpuZPzzO39m9cnPvVH/dBWI8cjZp2r5RQbwRQfNllSV7zt60\n",
       "rmXr485zPv5i7pRLLp5scdbV0a/mzd8xwJJZvifYYB18/pl9i3v0EADg8ssvt2zesGki6n49lx0x\n",
       "Kn/35X//O+yCiy6yUABz53xWa4yoi1pfCO0XCo2Oemel79p/TZvZi6PwD0/J3dqaB7/ysFfaxLCK\n",
       "u+sZ1cbM4lPuqmLJKzkoGp6qCuF5IQDAKGokjLvyZrw7468+luNdgcbGlY5BNx8xGX6nM278eceC\n",
       "t35QFXm0ZDAJ2779eLusKDaG9SyOeKsU1875n+cMuanVCZuPRyTgGpcx+IYMwjCgkggqONiaJR/9\n",
       "lN7zXC8S9cTPa2rbALwKYC6A9qhrnuQINBmjFjUfE0Ie+c0W05IO7kMJINb000sI6QmgFkBqawe3\n",
       "SVC2MgfSw0i49r3a5Cwfp5SWtOW8SdqPKIAKgPcArJsVhAZBKwUFjajyEstJBnCSHiInKXaOlwVW\n",
       "SPoDnUJSG2JPP3z//Z1GjBmT7W5oCK9funzukBZlBUtjnl53TLw5l2MTf7ZnjR1j+HruvBEI4jBB\n",
       "eSgRJc6uVl3XswLXiYuqi0paiDlKKUAp0BTMQqkCAnJMK5RHZ9Fsz+w5zKszj4ly0nAQomt+z6bn\n",
       "MTDPhH7Zerz+6H0/UFWl4iDbeD67WPrm62+83sraN4cdIibrIj7NPhN9Jr9LQY6lntP6fL4DznmN\n",
       "3kZu4qSJ3MsvvoQbb7gOV17xR80r/3j5ltKlG3ZZod+QlpNZMmhgiQYAMjmevUyJ9ivcPP8LjqoH\n",
       "dk9qrSlRZ/+S6PxAuFLnDL/TbFUcxDvmL5u3wLdwwcJzlHi8zhSkX2xO517VZ9jM0XhU33KNKqU4\n",
       "dtWy9qVEcPy8ZO5XL21Yveq8uCxTucb9Vokhff/JzufQGEOt9ZkMyjF2ezQg7jane/misR7jKbBK\n",
       "tgZTVq9w6dp/Ly/btun8zM7dxF1rV3jkOH3O3PvKN49VhZzhBKQPuPbGzV/PGgCoeoYjQ3pd9pdb\n",
       "9I5sDgAqV353zf6f//19p+E3tEugGgEpjTRURgSTQwKAuN+lBlx7NwB4CoADia3DK5HwTXsZwP1I\n",
       "ZDz5AMBJl8BMcnpBO76gnNVUIWcqEg89egAPtXZwmxObU0rnI1FNoOVrr7f49w0AbmjreZK0jXqA\n",
       "qQc4P8D4Ccu5RZ3YKGg1MidyjKQjvKCjvCBRiRVlI8vHOZaLHX/WJO2J28CMz0hPN7hdruja1aur\n",
       "Owf5Nw64RQMQFeIsK9vv79OrlwEAGr1eRMIRb+Jv/uhQVcFa3vPMg1PuGtYpO5v7dsHCYV989pVj\n",
       "CJf2HgCw9f5Zzz3zbNfrbrwh3VXnUj79cPaGIbbcbasjtSU0xXCFqqpUbAi+npHep3pXetGZfo1p\n",
       "TIwThoCQA2GxrCLvYhv21txwbs8zRg0sYggh8PsCoHI8MpymPPmf51/arAhckRRTFg8T0w6LAN9r\n",
       "UO6f8eTMIVZrIoDm6aeeUvr1G8AajHpUVlREfl6yVBozZjTMZgsA4Pbbbjf/Zfvtf0QYG5RAgEa+\n",
       "mY/IvLmIr1qJHpTqAehDgihv0xvLywaUaG9+6qm0HoA4JBzuce9fpzyEEO5sPvcAwbEUKpZSomB9\n",
       "Zvj9Z2bOKOIEAS+9NgsrV61SuxV2ZT7//Iv6QFXdbAhprf59bgzWdvaLGIWYsn+YlPbdybiCDOXs\n",
       "X8CFLwAekBwnPP5kKA97pS2EUFfnoTWm7N7tapV0rvmwUEBgdEwm2xyDb2iVP6O591V3zJ31jzUM\n",
       "Q3soEL5xDLx+4fFHJURl/qg/rwGA8hWzLmkWkwBg7tTNWL58QXcA7SIo8864YcG+JbPmRj3Vo1hB\n",
       "w3l3rdyc1efC55vedgJ4FgkhORHArQA6I+FjeRcSOf/eBOBqj7Uk6cB0cB9KSumspn/+BCDvRMcn\n",
       "K+X8jqgHmEaA9QBsEGC9vEbwCRoxwom8ykssK2jBClrwgkR5VlDsLKckrY4dg63eGkevc4ZddcPN\n",
       "N9kBYOLFkyxTp9x7t0PG9OY+Q1Pzd3335dfzGhs94+x2u/D1V/PLcgLss0fK99iS/SGvqWRs3+65\n",
       "OYkb6tlnjTL+vHz1aNThPQDop03ftmXNtj89uOVvf6Bx2dWfTfl0a9zdLW/4wBmTrrzevq7Mizk/\n",
       "bRm8n7PwIL+EPnNKfCPvKd9hC2/va9ez3P7KMnz25k+bHbrbemo0EvPqK//cnRVgXiMGFsPF9DkA\n",
       "mjzaDsdktTqaxSQA9OzZM37/3XfvMBoNkZqKytLP3B9fdMUVV7BAwqIaj0ZR6HIaR5avfHisHO3s\n",
       "X/QdAEBlWewwmWMDH5khWIcN5+o3bsrz7tl7IIBEo9HAbLEYEDp8t7Em4td3H1ps5YSETr7j5htw\n",
       "x5T7a6O+0HfakLJgsC5927Gv9C+sitaeUTSq5IHJkyc79u3bE3l71ltnDFNSWv2k/1vQbJXcZXT4\n",
       "uG4jPaaTTFJ+NDzr3jn/zGEDZ4w+b4Jj17bNwbkfvz1b1+ua414ThhNgH3Tjf9pybqrQxXXbVo2x\n",
       "dy/RA0D1+p9qOcmyrC1ztoThBHQe9ee7qtf/Ny0aCwt5Q6+p4ETdoVbdGBI5K2cDOAsJYVmCRO3k\n",
       "WwB8CuAfSCROT5LktCMpKE9j3ITRfyrqNX5eEqMsx4PXMBwvUYaXwPIieFZQdSwv21g+GSjTwamL\n",
       "+NIu6NXT0nxssVigMxpscB/cb4hqe3rr3MX/WStHtT1N6eVa7fHL6UksK4fCkYP6xeIxAL8klCrW\n",
       "OvYDeAUisN+Wl+oUmbuFjDPtf/1geyKVA28VQVXKy/EV+oj/x3zn7kWaqi0BT5eUDx5+YnouIQQu\n",
       "pytv2v0PzHvxkcc/BcdK+ar22yyDrVUVYhrr68urq6v7Z2RkMJRSrFqx0lnQSG52RJlQJCXlmade\n",
       "eJ595um/Y+eXc1FUU42s3TtxaTTSHE2LMMPu2qQz7fiB1/089NYb75dGjBQUWUFB5y7kww8/ohMn\n",
       "TgTHsygvK1fdtXV7Aetha7BL+uCuvWXB5u3/WDQKoqgVw4n9JegO635MNOm2/7vllpsdhBCkptqk\n",
       "HTt2Dt45d7HtVFUsaiulYa+0lWGVhlNglWwmzW6+4bIb/uQAAHt6pm731k1nb67c9IQpq1cYABr2\n",
       "LDWKRkdUb+/c7gnCOw276aO9P76eWbP+5zFKPKrEg+FXs4dc1+6lHjP6Xljbim4UiUTo3wHoj4Sw\n",
       "PBuJEo+XAvgMwItICsvfHafBlnebSArK0xcSNqWnKOnd/GaGVTWcmMzteBrTWW/f990331aXDBrU\n",
       "iWEYbNu6LRp0e7cAtsP69jCltzo35XJaf6W9KGtCZWm55psfF8WLuxXyc7/+zhmu9bwNMf1Av1J7\n",
       "QVpZasGYoKQfK7N8bwDY7QyBYwh6ZBmQzvuV5R+8+ewoYjgQVb466O40dtC51uZE4qmOVGK12zKK\n",
       "1JSvTvTzF0d0Tz3xyAxDZk52gc/rDcerGl4o0KSGAMDmblCDr76CP/7wLXTuXwKqQ0aj6o7In0Us\n",
       "WR/tSSssBYDcaEDcuWPHbT8sWGDZuW0bDEY9fI3u2F/vuGNLis0m1VXX7OsV0T51pMAWjuFopLru\n",
       "6funTp+Sk5Ot27lzV4OhLjINeuOJfhwwHEOarwsACILAyFTtcE91zRHcuyyZjZpuoz2mU+gryQvC\n",
       "QYk9RUlLlGiAC9TtEQNlP76Z2b1vYdhXKteu/unjtIHXP9fe5+809OZnkdh6PiFUOYbjJD1vC2uR\n",
       "cAkrAPAnABcDuATAZPwiLEtP1cmT/MokBWWSjgoBqEnQJresOzirYs6RmgzbH1mGJd4q59whvGPu\n",
       "oX2ydRb/+u37p9771yl3GQxG3llRtblENf8LLW7BVFWwVHFdRgWuOxdVlg8RHPMPnaclK70VxWde\n",
       "PuHaSRdfbAaATz/+NHr/wzN/tMe4lwcaM/Y3icixQUl/lszyPX85EY3y8chywbm606RRvdKh1uGr\n",
       "Tz5dM0w1fIwWkqiTzlK3Yf26xvPOP88IJGp4e90eVyLf84lh5KX4kJh0H/b4ATDI93g6pTduvV4T\n",
       "C43lVKVQ2bEROgDEaoU4/hyIZ5+LOpZjXn7w0dWjzHkHbrhWUR/dtGnru2aT4d7bbrmBA4Dzzx5n\n",
       "mnr/tKrO5dEZnWFFs5ikqoJDLff9ePtK6lQudlXs1PSXjGHojxX6cXR8VXVzZ380u2Dy5MmWfWWl\n",
       "8uIfF20ZarCfcJL6U4VCVZRFfJqtrBBv/JUiuGuqa79a/O1Xnc8Yd65p/77d8sY1q9dbe1/rr1nx\n",
       "+vQxtzwwQp/iIACwZcGc67YteWNe7hnX7zrVazoW9Tt/MjdUbX2dNzqylLA3xBHm4bzh15yqtD97\n",
       "AfwNCQF5BxLC8mIkqpTM4bXmV5r6JDmd6cA+lIQQMxKW8symlyoBfEspbWztHElBmSTJKWRDyNm1\n",
       "eMyQ+268JeEb+cnHn+Qtm/O1c4DoWHlo374ax1baoNxAPBEUIAU4pFDLUq7xkZv++tfxPXoWS0sW\n",
       "/zTqs7feyx3GpL56tHNHNVzvwUOGHlB3ky+ZLP6weDXjzj37jHmSfsYhIjLCB2pq05RqTmjc54tU\n",
       "1n7Zk7Uu/vL5xUUMIfIQW+5OjuUOsl7ZJWN47c6ypx+89/47rClWaf/e0so8L/NYy0CiE6Fz7c68\n",
       "tMbqsZpYeCxLlS7NrysgkQgn/PCFzW4Y8+TfB/fo1VMAgKWvz6qzUP6wpLvUH97Tv0/PA2tNsVqh\n",
       "NxpS0fS1uC5WN0jMSr0rxZaq2b+vtLKTB/ekaUwHIm0Jw+JEk8lTVcFyuW6iwrM9hJj68xAxbd7y\n",
       "ud+5Fn634Gwal/cPJLZ3CdsxDJSeaIjfJkeEPSmd3LquZ3p/rQhuQ59rX5/z8TtV8z6bPS4uK7t1\n",
       "RRf/AwB4UZPZLCYBwJFfZNn204ICAL+poHRXbX0mdcTNwxlBlyituWTWk2F3xdj2zmF5COUApuAX\n",
       "YXkJgMmsoJ3Yedxf/zvwpvfvX/2vP/6m1yXJ7w9CyFUAHgHwPX7JJT4awExCyHRK6TutmScpKJMk\n",
       "OYUEJIy6aNJEe/PxRRdNtPz49TfjQXGQoKwONep3mvBUWk6nTG9DQ5g43c8PEu0H+kSUOJvfvXBA\n",
       "ca+eEgCcOWKk7uefFp+JsvBRBaUmoqxf+vPPntHnX2RZubcRCzZWUU+Py0eiOeEvpRFRji4xBT3f\n",
       "011z06678bJbSwZcqgGAf7z2xj27fly7c4Sjy5Zjfb7+XOpSOOlSWlOHdMaIExGThKoorN7WzeZ3\n",
       "jdLEQmNZqh6IKpRFkerOGk+EseMwa826xoplm/5VpEutfOXFl6fm5Of2CofCcmNFzbsllqyqQ+ct\n",
       "0KeW/vjjotohg0qyQQh27twV83u8O0DscEcDoqlL1r0PT3sklxCCxkZP9tR7H5iaFsP9rV/54Szn\n",
       "PI/ccPufx/fuXSx9//2PY76cPafTENHxNihWdpRv2Zgqk70Rv2a7oIuGCs+qNNk7/+p8060WAAAg\n",
       "AElEQVSZHCz9rp4HYN5B64pFV1RuWzsiq3t/LaUUu5Z/XymYstafyLw1G79Mi/oqLqMq9dp7nPe+\n",
       "zpZ7wp9NjgaJt2KDwZI70MdwAliNyc4ICedZQghEW57ZU7bGprFm/xpVbyoA3I1fhOWlLC9NBPAF\n",
       "fmOhneTk6cClF6cC6H+oNZIQYgGwColMBMelg3zVJUny+4RE5dJ9+/ZFbKk2CQD27dsr05hceqgP\n",
       "3y4DnXrLgzMGGwxGUEox65kn7nWX+y63CtooAHCEqPFY9CBLkiLHj7p/Um7LTQ32OKv3FzVsaM67\n",
       "25qCfQgBVSNCoNprjdUE5cpN24oD7GNmXhNbLeGpkgH9DsjBs8aMcDy1eFUfJAoWHP9ztjLoS4qF\n",
       "ucKabf3NQc9IUY6MYCg9kIdHBfHFePHHeZnZmTfNnj2QaYq2npDXOe2xtRuHcwz34TDV9ij2NMX5\n",
       "sPYjniNHZ/Wt27b/4Sn3TL3TaNTzNRVVWweqllfB/j975x0eVZX+8e+5bXrNTDKZ9IRAIKH3DvZ1\n",
       "3dWfu2vFvq4NKyoqiqgo69or9r7uWhBFV0VUem/SE0hI78n0fsv5/TEJBAwQIEhxPs8zD9zMueee\n",
       "O+Xed97yfYHKoMc+dsBp5vb8RrPZAostKRl1Rx6KCklRtseAgqGDBw1UA8AfzjnbuGrlqjNRI713\n",
       "xJN2M3URv2o7VUiNo6DZ2GNkQN9NPbi7A8fgq95aN/c9285lP4wWIyE5HIw94xx2VVeKWwAAtes+\n",
       "y+G05MO+k+7OEYN+peTrt85j+T9frDaldlk4vHLlByMoi1lqe6ahYs2HrYJgvEkOe+qUiG8wozaC\n",
       "UgXR5jIXWF5X8vPsdwnL80SRvsqfeONnR3bWXaYGwL1SNPAqIeRSTqX/+BgfL8Gx5OTLoTys6EXC\n",
       "oExwXPGJEf5I+kafLIxSOX54/403R2/dsmWEwAvM8sVLtgxnbP/ef5zBarEbDPHiD0II8vsUmct2\n",
       "fGOzCtpaANgaac0P1kV033/7HR04eBD5acGCgKuy/guwe5sYVFszk8ocPU8PqA1nSSw/EGSPUnlE\n",
       "kKLLTCHPAlR/d9FjTzw22Gg0orGxIWfWw48Io2Ka+6KhSHVVVbWcmRnvG71pyzaPWsJBO1t1Fau/\n",
       "RZ/btGu0NuI7XS3FRjHYK3SkgDRHedVir9aycHta0doYr5Y2yo031TY0DspoW0tp2a4wE5UrcBh1\n",
       "EYM0jk3w4Bp4ROQgGe25n1l6a/P6Des9519wvpkQgpYWF1zNLXWdVX13FYYwUGRpnwsvVZTjIgS+\n",
       "P+1SQKV6WwC9xrnMxpQT7o7GcAKcI/7xz/Zty8EGd4Icc93d76pHchiWg9pkY3JPv2jorm8+Gp97\n",
       "2q0/dWV/RYqBsng860+39ySEQJHl1Iovn3nanjviiuYlb2lYoz1LCXmDjCLOioC8Y5twSx5hOARK\n",
       "lw0oXfR6rMeEGw7ZWOBokcK+mqoV7z/pq92W6K5zMnPiGpSPA1hPCPkBe0PeGQDOAvBYVydJGJQJ\n",
       "jgubg/U9aRL3SHZusnFjTaOHd8kPFOmPvAvIiQphWIySkh4u/3alOUZlbrTe1tJZLp2vxdXgcbtg\n",
       "tlhBKUXJlk3uHvqkPULHosN076x/PW3ZvnULVqxYiV82bvQPhnluvdlp3unsfbpfbTxLYvnBe3Qi\n",
       "KY0JYmSZKeRZ0Kdm8xJL0B2OyCLrHZhzu9EYN1xTUhzEmZ6eg90BDFIsrz4+69m8vn175/sDQbmm\n",
       "rGreCEvWEYXWCFWQX1+cb/c3jVHHwqM5RepPsLecp0WtiVKFfBYyJM8vcfberjD75mYOVExvPvHY\n",
       "zMKxEycUBPx+ee3q1b603rk3bPB6r+IbfP/sq3NUHMm6AMAqaKMVpXWP3HfP1HusSVZ1dVVVdb6f\n",
       "f7yDgtJho2Z5uby4dNHCRYsu6N+/v27Bgh/dLdX1X+Wzv40QeWfIVEFVxH/MpYBOCAjZp6Ke4QQG\n",
       "oF2+t0V9jbxgSja0z8GwLHi9xWDJHhzUJ+ddo8gSURls8q4FL5ytL/pTHmHiU+t7jLG0VG04Dzh0\n",
       "p6oECU5k2vp2fw3gbADOtj8vAnA/pdR9wB33I2FQJjg+2PjpT995bS/CMJBlOfXuZ96egRiuOdgu\n",
       "VJGxgriu01lN/UOBgCvbyzzt1Jq7pHN4rCjxN9k9dtXdao1GE2rxLBrJJn8BxHtSr2E9k5NSU/r7\n",
       "fL6oOiA92dfgqDrQPIVhbuabsx7VJqdlZHg9rjDf6H7arEnZkwdmMpnVDMOgqF9/5PQqxC+NVPdD\n",
       "luNViVcPBiFxY41SURCjS41hzw+9a7YuSQq07NPSTUUYubW5eU+xCVUo3G5XpMZTPxjOpKcNxmTV\n",
       "5pLdXpUv8uQIIXnJ4bwO5qBLl9u4a5gx4hsjSNHRDKV74tEUUBrtKbHUy64UyNgJMJitqpn3T3WM\n",
       "jpm2dTaXnldLo6L85K2fzU9uMTB/n/rg1Avye+Rzkixh2rQHn3LVhCa1pwIcCYPUKZvQiklo9SEN\n",
       "ZhyNMdnOSGp75rPX31/3iZovFCLKipHa1F+OftYjoyUaEHbIIrc7Kcelyx/tO5ZSQCcCDKt/ufjL\n",
       "N4b0/NN1aWLIj90L/rvJ3ufsLnXhAQCNNUOs2/5dgyLG0hhegBjyIeZtrild9Op03uw4B4QjMVfV\n",
       "Mpbl/i37m4Kw5+oAQIoEIIW9hpIFL97Isdw6TtB4kvucUXmoop36TV8n+xpKx7IcX93j9Mlrjvb8\n",
       "E5w80BO4yptS6gLwn6OZI2FQJvjNoYqMlCSzkTBxZxrLski2mo04RNbUCtZ96zWTb7m0/4ABap/X\n",
       "i0cemJaZHJKu4/bzcP1WtET86ki29eWnZj2er1Kp8MP38/vN++gTjGSTv1jDeG644c7bLyvqW6SS\n",
       "JBkPT5v2jKs6MMmq0ndqCCWrjeFkGXeiKgBAADT7erfqG1vLv161q6DMyzLbav2QkWOEgGGgVOKl\n",
       "6HJjyPtDQe22hXZ/0wENbMKwCFU3vvzk44/fWVhUZFq3bq0rWNnwpq1/r5fueeBBNcMwmPflXPXq\n",
       "5cvu8zVHVh4sFYGXYmx+Q3FvS8A1Qi2Gh7d5IfdcTxSQlhinWu7XGJZ9qjE197v1xlccp50hfPHp\n",
       "x4hFI1BpVcM2eRp79temdOoFJQyLPqbUph0pNCu/Rz4HABzLYfz48cnfvfaRc1hS9gmnzTdSm74Y\n",
       "wOJDdS46VgSlGLszGlDt0ppDUt7IBpMt+5RNJelI+rDLttes/c/lG96cfg2l1GfOGPGSwdHrkB7Z\n",
       "6lUfZ0X9Tamm9P4lWmPa9RXznn2O01osYqC1VhHFeeZ+Zz5lyIt31gnV7rjQvX7extDu5V8rYuRs\n",
       "VmvS+LfND+t7nz2UMznGhsqWyiIjRCo3zNttcfS4PKXo7NbOjlm+7P2iSCz6hpAzNksJukLbv3vm\n",
       "qz5/mHJ3d78mCU5QTtyQd7eQMCgT/OYQhkV1Q0NLNBZLVwkCQuEI6ppam9KQetD9bM7Ugf0HDFAD\n",
       "gNFkwvAxozNKvvjRVmBMOS49cLd463pdd/s92SpVvMDhrHPONv74/fzxcOMLo93av6hvkQoAOI7F\n",
       "aWeemTr3+dezRtv1XQ4ju3UWzfb0/uO8WvPZMU4YNXdrqD2cDU6MrDNGA9/2rNux0OGt93Z1ziGc\n",
       "fXHTtro1S9dut+fobY3NPHveJZOuUDNtxv2fzr8AK5cusWwTPE9RSvxJPvJCL2NKC6EKspvKMlJ8\n",
       "DcO10dAIXo4NIx2aiFNAERluY0TQLG8x2JfvTO1dQtui75ZoQLV80cIGj9udN37UKOTn50GWFeP0\n",
       "h6Y/0VLunWRTGw548/d5fP5gMAidLl5tW1xc7HeojZ3erH+vtGtK7mA4qSV3WIM5a3D4mMlwn6Ck\n",
       "D710F4AHujq+dNFrk9XOgutNPUdb/aUrKhhZmpw7+h+XtT+/6+eX79WmFuz5fGsc+eoWRRrU64xb\n",
       "p1SteP/V0O7GTFVqv+fVqYVqADD0PZ/1b/2fzjR0Ul/36vdnphSdfVNnxw0HXfdpiy7MIoQB9Cla\n",
       "JRo4s2bNJ+npwy6u6Wx8glOMhEGZIEH3Y/aw9977zDuP2ZNM5oZmT6vdz0/ba550TsDvExWFgmHi\n",
       "uU6NDQ1RC68JLnbvHgGOM+UyhhUZOou/O9fpioVUxbroNJsjJd3d0uK1NUUfzTPY3QCg59Sempra\n",
       "EAATAEQiEYRDoTAgIODz+4LBEHS6uLuqtHSX36bSuw58pDh+tUG1JXPgGI/OcnaMU40BIfGALKWU\n",
       "k2LrDRH//B71xT+luWu6nNeyP8lqYzhZbawCAOJtbqipqZGzsnNYAFi/ZjV6piXxd15727hwTS3m\n",
       "zHpu6PBtm9bpZXEgQ5V9LH6ZMNUxTrU6oDasqrDnrm012Dt97a0qfbSmouGebdjw7jWTLjEBAMsy\n",
       "GD9hvOOrLW9n2NSGXQdaq60l9vj9992fPGTYMEdNTU2krqT8/eE6m+9Iz/1UoyEaFIqlGFdpi4e3\n",
       "zad4eLs78NZs1vAW5xWW/n+0AYDGWZDbsOClhxDvTgMA4AXtIl/Zmissfc+wAoB/91ovywo/AUDm\n",
       "qKvKatb8Nybyqj1KsQQEAAHDq0B41QFbKxGG59rTnAGAETSCHPIcoXJrgpONEznkTQgZiHjHpm2U\n",
       "0l/p+3aFhEGZ4LjQQ29vgYyb0ARkQoNDGZMAwNZ7n5n16CP/POOcc9JKduzwlm/Z8bmsJzOvnHz7\n",
       "SJs9SfXBu+/v3lHacEtvQ0q3dSQp0UUfeWjmo2cmJyeTUCiEafdMfSYvhGsBYGhSVuXi7xd8B0U5\n",
       "Jy09XTt3zhcVXpe3domJzoq6/Dseuv9+5+hx45zV1dWRii3b/zu8kz7OHjEsbNNE7ufS+xa6VOm6\n",
       "qDHDDMLsucFwsrhZH/F/n9u466fMlopu98SONaQvn/Phhz+1NDVOSFJkruKTj+m1BTlsy5XXQ25o\n",
       "xJlAMoBzAUAB8YocvyYk6FbVm9NWVdlzuqzH10/vqFjl86wO+ANn6Q3xN3vHjh1eh8p40HPKM9jd\n",
       "WX7pqtJ5iy12tSEwnLf95tqJJyJ+McKVxEJCqd4WoD1GuU2WtET1bxcJu6r1rNa8x4lLCAMiaPcR\n",
       "8soec+2assWvPRNpLL0EDEPkgOt/PSbcvKczlaP/n2pKF725RbD3HMMZbGyofDV4SxqijTtDRI4t\n",
       "P9CxGap8FavfXCSk9rMosSDEhm0lmWOv7vae4gkSHA6EkOkAJiHeCvQpQsgsSukbhz0PpSfGD1pC\n",
       "CKWUkkOPTAAAhBB2oDlt/F+yBh2xp+pkpCbk1u/yN+UlCfomjxxOvmTKLbMnTJyoBoBoNIq7J9/2\n",
       "/UjR0uXQ16Eoz9F+/MD0hwrat2e//Eq9snLnhR2LQta5KrMCYtQk2UyXXnPX3RNz8noK2zauj3z2\n",
       "5utzbH7pY5tK53dqzYE1rRU5ASWWnK+1b7dZnOHNmYOGtzLi/YwtxxnpYA6wsrhdHwnMz24uW5DT\n",
       "VNZlPb7DgVEkkttYmmMLtAxUx0L9GVkcJlBlH2FHotMhmJlBd1bWf2XWWj/dmVpQsn9FdjshKcqu\n",
       "5QMPO7IyewW8vhhtdL08RLDvI95eFXQZ6+38C4OHDkmtq62NNuyq+GAYsc05Fud3qtIuTl7Cq2Pe\n",
       "zIGtp3T19jFCkWIoXfrWFykTbxzOaQwI15dEXBu+eqvnabfMOpx5wq5qvnLdnNuoLPemgIPVmEIQ\n",
       "Q8vyJ9744sF6f+/88eU/S1LsXEKVltTC058wZw4MHfJY7lquasX7iq92WyI0fgScCPYFIYSGvnrh\n",
       "qObQnn87jsV5EEK2AxhCKQ0RQpIQb7k45HDnSXgoE5xUpGstgXStZRMALGwtyzGb9noaBEEAx/MC\n",
       "urEUweVyhWVZAcvGw1T1dXXhAk61T2HNEGtWZUwWmcreyYU5eT0FACgcOFi9JCdnaGF16BkAWIXm\n",
       "O8ZfdM75jD3P8M2mJnG9NlMGy8Xj4RKQYxUwKkeHHUvmNSRvrrxKzfLdmmyjjQaE3KbSPqaQZ6Ag\n",
       "RgaAysNVirLPXY8CgRDLb16f5szvd+lf7a0mo/j+p1+vHpI7cmYDy/8qVrOCNt3gzMmcSCnF7orG\n",
       "4C33TOubkZXDUUrx6jNPTqvaWjkpU2fdE57O1Fl9GQH5mor/LTclqfShTN72uyga6Q7aZYBKADQ6\n",
       "+zQZcocHTSeQOPnJBMMJsGcPubLx51cfYXi1jUqxNT3GXf/K4c6jsWaIBWfd8czh7tfzjMnzAMw7\n",
       "3P0SnAKcuDmUUUppCAAopa2kY17GYZAwKBOctPTVJW/46IMPdvbI71mg02vx3rvvtsAdnANVF+Ln\n",
       "XYSv8zwxbep9swYNGZRUsqPYF6hqeKlRUulsKl2oY3U5TxglFo7sc7WIRSNKlBPYVbac03WZEy76\n",
       "Lpaq9u1WAINeBQBMLNhoCOzGzOvOSXG22cXTvqgJqQhzVFcdQhVktZSnmbyNA30Qz7fHoukWMZpE\n",
       "9vu+MykpoH2KsGBXWWVelJlaltKzVGJ5pSHs1X333++GUxmhUebMNUInxuSqaP1pF1596WVnnn6a\n",
       "AQDmfjVP9Pu9HBAXZh86aox93qoNmZk66z6tGwnDIkdv63IRUYJ4l5udssRW2nJcmtyhfpPOeuIm\n",
       "Yp0kWHKGBSw5w6Yc73Uk+H1xArdezG3Toexsm1JK/9yVSRIGZYKTFpvaEPHXtNx0722338GreA3r\n",
       "jcwdqkpZfeg9u04/naMs0iReuvnT720xKGpkWJ/Q9u4zdfOunZGmXbv+3UedtCBTZ/URhoWrsurr\n",
       "+fPmTOozYJD5h6W/eOssIwNVWc4FlDBmNwBEFaSZOIzO1qF2y2K0Nu5qDZfXP/X6yzseHjF0SNKm\n",
       "LVs9gdqWVwnXeUvBA74OviajpbWyf1gMnpUiRjOTJDGDATUD2FM3TwFECVuucMK6NYWFoy94/Akn\n",
       "mxp/tvXlV4SmlbsqrW2Go0NjCjo0pp8PdkxRYIaPGzvG0L49ccIE/qM5X6FP0QAAwNZNG11OralL\n",
       "bRsTdI43FuaKxbCqXG/zJ/IkEyRI0BmEkHMAPI9484i3KKVP7vf8+QAeBaC0Pe6hlO5/fT9/v+2O\n",
       "nvcu50UmDMpTjIAY4dZ6qwcDwFBTxno9rz5lbkJNEZ9mW6ChP6swwbG2nC2EYRFVZEHyRlYyMbly\n",
       "uC235FgcV83ycqEptXGNPvTazCf/1Xv7tq2IShLGnXn2/Vs2brhq9badzw7QpC/VZJ63+acazbr5\n",
       "LvdIcPkmmDAEABhZqtS4t2vuu3Rcch+nEUtWroGfk+FmCDdQnbKppcx32bebP0tN15ibh2iTDyrU\n",
       "bgm06jNaKwv0EX8flRTpw8lSH5Yq6fuPixESlPsP1FlGjwHXtz/k/HxMv/u+LaOVpFm/mKLvXuhw\n",
       "tHdDQHNTczRvvzD+oeBEZdO69Rv+OHrkCC0ArF23LrB66ZIqr8dj8rrdsWBN3dsjDMmHrGpP8Gv8\n",
       "YoTbHQvzZSpdLFgwsdaQWnDEIu4JEiQ4gejmKm8Sb2rxMoAzANQCWEsImbdflfaPlNKv2sb3BTAX\n",
       "QI+O81BKF3XHehIG5SmERwwLxRr/qzddc3U/ApB3P5m7uSBEbzLzmpO+MrbM32wJ2Ojs2y6/sEer\n",
       "xxf7fP7ypXyE+49zeJ+Zl/z5T86dxTv9P837Zs5IanvxWK3BarMZBJ7H0mVLce2Nt0KhlLH1Gpb+\n",
       "1ucLH/5el6lQwuxpQ8wocrU2Gpyf6q5d0Lt2y67agMvwbMWij1OdqU6NVkfGjhuP3eXlyb8EG3oO\n",
       "0Dl22tSGXwl1p3jqLKmeugJtNNBLJcV6cbJYwFIla/9xEiEyX1jEqvr2B9evH3aynDTrlde/nnbv\n",
       "/Zc4C3oDAIikAAzhoAC03vPcjIcfmTF27JiUTVs2u12VdW/3YGyH9VqM4JK//eid9wuXLFk2mioy\n",
       "rSmr+PksNvWlyJY6NoMwMmEPz8uaAIjIIlMeDah3caqYK3doozlrcNhw6N06RZGiUCSRKHKMAIAi\n",
       "iwQAqCy1/SvuSewnLE/3/n9vGgcn6BSG4ymTyNVMkKB76P4cymEASimlFQBACPkv4t7GPQYlpbRj\n",
       "xzQ9gF+pjRBCLgCQTil9uW17DQB729P3Uko/68piEgblKcQWpeXSh26dPDA7w0kAINmeNGDmk69e\n",
       "Ohbp73fH/BFZZNe7qnqwhJGHWzNLCfPrntTHikZ1+I7nbrm+p0atAgA1yzJjv1ixPWPKPfc4CSHo\n",
       "XdDbUFtddU7Nsm3vpGstx6QdY2NtXW1zS2vvkMqBD5fVYGOlF8GoDOizTUDciNREQwtSPbU/9KnZ\n",
       "vJPpoKCQobP4VSHfRTGd4dv77r/PBAAjR44033PnXVM4t3hTZktFuiXYmq+NhXrxUqyAU6ReDKX2\n",
       "/ddAAVFm2BKRFbaHBc12t866/QOn7eoX33nz3HZxckNFBacR1NVvzX59x7TpD/XW6vV44Zln63Se\n",
       "2DvQAwM1KZsbd7ZMmrPhzfQ0jaVx2BHkNBKGxShqf4qWuJ8CgAwmvtTuLib6PRBTJFIZ8WuKGU5q\n",
       "yRrUaMroHzJzKihSFFI0yEhhHyuLEUaRokSRoowcC0OOhSGLYSiyCEUMQ5ElUFmCLIZBFZmCUoVS\n",
       "hbYL39H2f5X4HY0qsgIAhGH3aim2f4AAEMIwIAxPCENACEMYljCcijAsB4YTKGF4sIIGLK8Bq9IS\n",
       "lldThlMprEqnsLxGYQWNIpwiuZ4Rbz1XvvLjF4nWWkTFSIyD8lL+6bck+ncnOGxo9xuUaQCqO2zX\n",
       "ABi+/6A2g3EW4llQZ3Uyz70ALumwLQAYAkAH4D0ACYPy9wZhGbPVbNzjeUgymwjDEHN3zO0Rw8IO\n",
       "ffTlv1z5j6JoLCZ/PffLdSNiprt+q7aHvMBp1Oq9Rck2s1Gt0agFQvYqKGh1OmGt7P1raTjoKyKm\n",
       "b21qQ4QqMpYrzZezWnVfKRwtGUmS3jvcNQcFHb81c8Bwn9YUveuz3SJle/HYGY/m2nQs/BWbqjIk\n",
       "9t4+NVv2MSL3xytGtH2sFim2dg3kXSWQdu7EP35ZU5Tk9y0jnXSUpkBIYrgSieVLIoKmxKM1F1fa\n",
       "cssigmafNAZ1qPE/s19+ZfDNt05OEWMi3nzt9YocWfudqiH69bQ7776OsKzO6Jf+PcCQWtm+T4rG\n",
       "GErRGLvctedA/JY/Kk4lqCIjKMfYqohft1ORSZ3e5iFaS0hprSK+2m06KRqkihiRqSLJiiyJihSV\n",
       "xJBHFENuCXtzoRTE85tox//TY6QF11b5STo8WAAMAIYVtAynMXIsr+EYTsURhuVZQaPmVDrCCjrK\n",
       "a02EU+kpp9ZTVtApvM4iqY0pJ8WPj4qV/3lAXXDOeZwuiQWAUMmP0+p/mbcqdcCfu03vNkGCzliy\n",
       "vRxLtx+0y2yXvuuU0i8BfEkIGQvgQwC99hsiUEqrOmwvo5S2AmglhOi6ut6EQXkKYQ6zc19+5+Mz\n",
       "p06+zgkAL73z7zpTmJ2LI42bdWAz8V47ffrMwelpaQQAnM7UkbNnPXvuOG36/45+9kNDQvLXH327\n",
       "cNAV555mjcRi+PCbhWUun/jjksVLJo0bP063u3w3XbfxF/XtMx+7TZYVvPfqixfA5f9HiTZ62z9u\n",
       "veOC/gP6q0uKi8e/9NSzWaOVpBmHOp5Ha1ZvT+832qs1nx7l1WPR4UvFyFI579oZtkarpWhDWdnw\n",
       "iOZfHXUpASDJ32xweOpy9RF/nkqK5PGymHeWLOcyr61O6tjmxQZoAEAhpFFiuFKRFUpCKm2xS5dU\n",
       "UmnPqTmQ7mNHBmpStq1ftv6+27fdcpksy5LFFX0xx+DwAIATiAufdcNnIMHhQRUZYVlkI7LISbJI\n",
       "JDFCFDECMRpEayykqpJiYikhdSGqtEoV60QAcsfHsTIMjxRK6f4ex0PKPrXleO158Dorx2tMAsOr\n",
       "VCyv0fBaMxF0Vgg6K3itWeE1JlnQ2yTuBOr4Q1m+R7sxCQCcrUdqsGplLoDGXT+98keJ4mpQSjmG\n",
       "vJN/+i3fH8elJjjBOdxOOWMLsjC2YG+W06wvFu4/pBZARoftDMS9lJ0fn9KlhBCOEJLUZjC2Y9lv\n",
       "3OQOm7+KlB2IhEF5ClFkcFT9sq36rlvvm/l3ABC80lsDDM6qQ+3XFQjPpjiSHXvcgc60NIFR8Y7u\n",
       "mLsrDNFkLF2zYsej67bsOl8UpaglqHpunMHR/Pnb7zfP/eTTkZ6A3/HgE08VWm3xXMAb7phS9NLD\n",
       "My7Kyek5tP+A/moA6FVQoMrq2WMA3d7SqWetxWDXFzsLx/i0ptNjnGr0nraHAFhZKtFGgz873TU/\n",
       "9q7dWg7E5XlSvBGr3VtRRKPBPmYp5lQpUjYrS7kMfh2uBgAFCDdotGgxmhSXjOI8mZndYMnYdaC2\n",
       "hV1lsMaxCRFsApAwHn9jJFkiEVlko7LIilKEEaNBokSDlBEjslaKxnRSNGyOBmMCIFcDwkZA2QQ0\n",
       "NwN+SukpUzTXGZTSdgO5U9oMTg4Ax+usvKBLUrOCRs1rTJygTyIqg50K+iRFMNjF4+XRJLJYKgdb\n",
       "J7BtRqXUWlZvTM7bvXvJO4MVXcpMXc7IZAAIly/PL1/2Xn3OmKs3HY91JjjxoXK3Z4GsA5BPCMkG\n",
       "UAfgYgCXdhxACMkDsJtSSgkhg4C41uR+86wmhPxj/+44hJAbAXRZOSVhUJ5iDNA7d0LGvQB+1c5w\n",
       "h7fB3hDxOnN09opsvfWw8uZ0IfnLd999d9Tfr7/OTinw/rvv1VlC9Pvf0ngZqs1YAhlLwGCP0TSS\n",
       "Tf4CYXyxmITvUalVhe1j1WoNCMuqo9HoPjehYDCo22yVX/AFvJxaJVhsGbm63SGdFLIUtsqCZmBH\n",
       "S5OTxS3aSOCnvIaSxRO3L4Ap5MnSxMJjBDl2BSdLuYwiZzOgnfbtlQiRaVY2oyvsS5TMTHy6cHFV\n",
       "jke87csM27Q77r5r8ICkJOa1115Pnb92s0Hv1D1lMguaptq6nYNE0z8Ploe41eJaHm8AACAASURB\n",
       "VFPnaBQD2Q7BUF5oSk2E3H5jwlKUDUsxLiaG9zEcdbFw1BYL+Y1yTLQAsg2QbPEwNCIAVgLq+QCz\n",
       "CWiuAbynuiHZVToYnPt4+NvC6zwAXmPNUPMak5ZV6bWCzgq1yUFUxmRZbXbGfos8zeyRlz5RvvLj\n",
       "VEZrLVSkaIyjykupoy9v3PHdU5O1eRP3VJ+p0gcnh7fMPR9AwqBM0CndbVBSSiVCyGQA8xGPArxN\n",
       "Kd1BCLmh7fnXAfwFwJWEEBFAAPvmSrZzJ+Ih8csAbGj72yDEU7Eu6Op6Eq0XT1IOt/XiGtpyYcGw\n",
       "gX8fNHBA0s8/L2xo3lr2yGB1yoZD79lhjljjGN5uvkiWJco0+98cpHFsPfRevw3b/Y0pSkH6G7fe\n",
       "c1+GIit4/p+PV+h3N/3dpSPjB5029uYxY8cmrV61KuxqbSF/veIf6mUlzfh2bRkCbDzFlFAFppAb\n",
       "BeFaxVy8qmlM9fblxrDXzipyNkOVNBL/sv6KGMNIQq8Cju/RE0x2DhbuKPb4fim+Y+eQfnfMmPXE\n",
       "gPZxn3/6qfvLtz/65+TpU2eOGjWSBwBZVnD7HXcEnn3uBT3HsyjfvVt65vF/fj5Ktv6rs2OtUVr+\n",
       "VDByyM3DR4xIWblsaUPJ6o0vDOeS5x+DlzMBgJAYiRuPsRAjRQKQon6oxUjMGg2Gk8Rw1AZITkA0\n",
       "HiCPqd2QXBQ3JN0JQ/LoIPGEaR4ArzKmqAW9TS/orLza4oTKkEzVxhRJa8v+zbovFc9/9mo+Z9wM\n",
       "3pTKA4DoqY1JlSum9Trrjo+7+1iJ1otHx4lgXxBCqPedh45qDtO1jx2T1ovAnu/XaQAKEb+mbetE\n",
       "r/KgJDyUJy861mGdXpatsbW2tPhM9cEZvQzJzZ0NXKk0XZWSl3kTx7NCya6duO/++zPuu3fqbWjF\n",
       "1YdzwGFCyjJ4sQxQAZrO83SpImN5tPE8qLgcfURZMEDrKD78Uzt8+hhSGrcV19z08O23XQcKxRFQ\n",
       "3uiht7lWcO4+ZaW7xbUl9T6/4GCz0wbpXnp2LpK9DTjT24gUfyMc3lrYA61gY1EgXmTgQPxXXfyc\n",
       "AKoQpk5m2EqJ4SqjvKo8JOgqWozJ5d/nOWbMfPqpUe1jjcuWa77e+pyi9fvDoiiB5+NfsaqKqjDP\n",
       "siGWZfbKtRCCpKQkFcfHbdWc3FzOarflo6HzX7HmzNQrb7jxhhQAGDCgv2N6/YNXo05OGJTdQLvn\n",
       "MRILsXLYT6WoH/pYKJIcCXisciyWDEgOQOqKgE4EwFJAswwgCUOy+2jLKY21PYKIFwywAHhW0Aoa\n",
       "a6ae1xg0KmMKo7FmUI05TTyWBmbe2Gs/2LX4rbGyrcdQUEql1rLVPU+76T8dx+z88eU/ipJ4MRRZ\n",
       "MljTZmaOuHT3sVpPghOfw82h/C1p+3791PY4IhIG5UnKsOHD351625Tx/Xv3QSQaxYP3TH0Gfly5\n",
       "/7i1/tqiCRefd9Xf/vY3AQA2bdmCH374AUajUUBrKG4Aio1/oiqupyas/DxE49h4NOtawXue+Pvt\n",
       "t0/MzctTffH5nD+t/nnZP4cLKYf1K+dIKTSk1AliZFaauyZVEKN9yiBN+ovNPojfXkHMnkbYfY0Q\n",
       "5APfX4jFCjYjE0GLFTvWb1iQRoT5Po2xss6SXhNUGzoVl/a7WrYXb98xuKBPbxVVKBb+uKA+z2Cr\n",
       "KCuvf+Peu+5KOeucs+2lu0oDldtLPhxpyVr94XsfbHE60wYkJSWRV195uUGRFQZAMgCEQiF4PR4f\n",
       "0GkUHVq9nu+4rdfrOeDXmQs1Ibd+Z6C5wMAILUNt2RVdfgF/J1BFhk+K8hExzMXCPiKH/VQlhmPW\n",
       "iN+fI4YjdkDKAMTDVV/0AmQZoF4OkI1A6+8hR/J40yFkHgHga/OyCKygVWmsmXpea9ZqrRlEbUmT\n",
       "NdaMbs3D5LVmpeDM266r3/S1EwBSz7ytjuH2KlHs+vnVM2StfZY6dUASVWT4y37Kb9q24PzkwjMT\n",
       "gv+/U45BDuUJRcKgPEnJy8vLNVvihVlqlQo9CnraXMt2qKwq/T6GT0TF9B85cpQZADb98gtWr16F\n",
       "kl27qKuhpTKbT8NK3jPjuttuP6t37wL1vK/mnb9w3v/eHK9O//Bw19MU8Wk2yJ5r0nvmjMvKylKZ\n",
       "zWZc+/frbPcXF1+y3NUyIiMne0AkHJY9NQ0fDmPs39aE3PpyueVCSqH05JPnOjSm4KGPEifJ32xI\n",
       "9jVm6CKBNJUUSedkMY1TpHRQZHGKlEzikibIaQGwn+JCUFBRxpkGj0YjbfN4lYjNzlRKkpg7frx0\n",
       "+Q03GUVRwjOPzKgQknvPyjHYPIday3DFPHv2M8/qk9PTivw+b0ypcz3fZFLPPO3//tJXFEX65edz\n",
       "fsnyc9OH65O84IGePuXmmfc/NIlwrNUUpnPCGrbvrJmPX5uRkaFev3Zto7U58jgMnRuUlaVlxVWV\n",
       "Vc7MrEyubHeZVFW2uzgDSfuM2RJoyOR6pj530/9dl1W+u9y3eP6P80YqSc939bU9FYnJMSYgRvlI\n",
       "LMSKYR9IxC8bo8FwVtjjdgDiwcLWXaEJYFbFDUm6BWhtihuSJ4UkzqlGm5cl2vbwEUIY9+5VAq+z\n",
       "qlXGZINKb9dqbTlEm5Qp6ew50aMVbWc4AWmD/9Jpi1ExEvyrKuf0JCAuryWkDsh1V68dn1x45txD\n",
       "zVu58t89Aq7ae0EYTqXRvZM24M+rjmqhCU4IEgZlghOSuro6n9TB21ZbVR3sw2t+5UVTR+SNy5ct\n",
       "cxf1LbJs3boJN1xzBSRJIo8+/mTBL9tq0vqcOWLYkKGD1QBw6eWX6rfv2H7zhl01mwepU7qcWN4S\n",
       "8at3mMkb19/yaKGgUmP22+/ihmuugj05GeFY1JnVs8cgq9XKiJIIu8Nxx9LvF+/WpwiPTDv/rHxK\n",
       "KZ6bu+hcJUT/4dSaAwCgjQaEVHed0xDxpqljkTRBjqWxsuRkqZzOKnIa+VW50V4UELh1VjQZU+DV\n",
       "6AMk3anuO2EEl1yQh2/XbXTPn/u/aWI4GpZkJW3iRZfcedU11yRRSvkHH3jQfefkW9cqsuzTt4Rf\n",
       "7GVIOaQxCQAcw9HR1PYvVEcBqLFUIFdOmXrPqPye+RwA9O5TOPTtp54flQ18JykSaY0G9P3Vlg+M\n",
       "RC1CCwDY7dvR/G3ZxjLDEF2SixgOLPk1MKKb9q9HHr1FozfkhHy+smGK5dX9MzujKfopjz/ySA7H\n",
       "cRg6ZIg5GAyeu/3rxR/3MaU2deV8TgXaDchwJMBKYQ9lIwHJFvX7c6LBiBMQs4Bu8RrWAOwqQLUS\n",
       "UNYDTQEg0Im0ToLjSNv7EWl7eAghbOuupSqtLUevMtgM2qRsRmvLljXWjG4v8KGgHiqFQTgNAECO\n",
       "+iMsyx3ye1j/y9cpfl/r+3zeGdkgDKJ16/vXbJx3M4C13bm+BL89inxq/85MGJQnKb9s3Hj9YzNm\n",
       "fDNh5BjT7tKyQKS66Wki/Lrd3VBj+val3y14c9myZTe+9MwsIwgBx/O49uorsh55YOb47P0SfJ3O\n",
       "VNXuQPBmuHFDV9eyRfb+4eK/31+Y4kwDAJw/6Tp88eUXMOg0rlgsZrz5lsmMwaiH3xfAyy+/aIup\n",
       "pBunnj4y39TqguLy4j6LpqB6zbq3MmJihFHk1ANJ7rQjMWzMo7NGay3p6iZTKt9itKPZkIxWvS0S\n",
       "UBtXq6Tokpym0qUZrZUtK7yN16/dtOE0ef1a2lpdO2+MMXMVjMAy0nLBpCuujHsPCMFtt99qmXH3\n",
       "/assIcx3GcilS6WGQC9J+0Gy2hju6usAAETgMrOzc/Z8r3Jys9VUxWXt8DemBNOMz/Y/faK9snx3\n",
       "qLis+tVhrO0HADDyalHNsJ617uocNcNF+1nSO/V4aDmVPJraX4QfAFF3Wiak0WoEjtv7tU51ONQb\n",
       "xIgewClrUHZmQNrDXn++GA6nA2LqQWRrjoQSgF8JqNYDsZVAI4BgwpA8OWjzHIcAhAghze7ytSpe\n",
       "a9FoLGlmtSWd09lzqC65R7Q7QuOOnqOfaChZ0I9LKepDxRArucoUidIpzTsWbrf3nnjAYkpPXfGf\n",
       "uPTh2e2CE5xzkCO687tLeSZhUCY4sUkYlCcpXq+3LFBafWOTd7XcU2P0c0LyAUN2I5jk/y71N2R6\n",
       "fb5LzOZ4VXNTc4vIUVq/ecPGTWvXrjuzT5/e5Mcff0SvngWor6nj1rTUnWvKSL1Cq9fx1WXl24bE\n",
       "jI8ILN/pTZMSMAzTwS6lFDt+/rFylMvzyRmZzsnsxx8gUFcLpbYWlxVvhzYYHMc8swvtwoscgByg\n",
       "557dAUkhTIPCsLUiy9XVWTKkYmcf6y5HQXZNUmZuUG0QQIgAxNsdqsXwMnPAtbRf5cb1ulhQBOIh\n",
       "+JW62MN6o8HeWF65fIhiebUna9+zfipKDfUN9Up6ejoDANXVtbFwMBhLG9j3tQfuvCs9GPTjiUdn\n",
       "juZcgev3TyM4GOqw8t1nn34y4bJJl1sppZjz6edNhjD9yefQPzTzn0/2FoR4jtWTMx+72bfLvdDI\n",
       "q0VXNKDaaZJeOffiy/J9Xp+05KfFS0dK5hkrArXDqYpNt0bY5X1MjoauHN/X2Lp80aJFRRMmTNAF\n",
       "/AF8/913FYWm1G7RIj1RoIoMrxgRQtEAJ4bcYMN+8VgakO2sAdSrAXYDEN4SFw8On2ji4wm6Ttt7\n",
       "1+69dBNCBFbQqrW2HIvGmqHWp+Qr+pT86JF6LpN6jPYRwl5ct2PJz0LWSKfaXqCFIg5vKl3wlL33\n",
       "xL8faD+GYZuVWEiE2sRLnioonmpQTndWyFf7JiHkAkppl69HCU4sTuSinO4gIRt0knK4skGb3TXO\n",
       "cIbx80mXXKQOhcL4ZM4XwbRWel621uL9mTR9PnL0mJwRI0cQj9sdfOeV1z4fOn7MOTffcnMKAOza\n",
       "VSo+99is90YT+2wAYBSJODz1NkvQ5dTGgk6I0awave6i/NRUM9/cBKapHuxBPlcUoEGeVwxpKSys\n",
       "JqyubXYn+2NvBHlNTYva0FBWMDFQmlowIqg2jIpxwghKmL1ql5SKvCxu1EaDy5zumqX59TsqO2t3\n",
       "uEpwz35k5vThNksSSnbuEl945vkv80Pq57ZzwasIyxj1PvHzsF039bwLzu8TiUbkBf/7bi2A2Iuv\n",
       "zT63vep627Zt9IWHHn9gvCHzsCqpV0lN5+pTbedThSJc1/LRMFXK0pJ04b0HZszo1z7m048/bi39\n",
       "8qdLexlTWpYoDVOeePqJy+1JccfswkWLIh++/9Hay664fEiPvDzN55/Pqa9Zv33aYI3jly4dX2n+\n",
       "m8psGB0Oh/xON54+XM3RE5FALMwFxRAfDXkIQl7ZGvEH0yK+UDYQO1YGJLBX+mcZwBYDvhLAk7ih\n",
       "n/oQQnhW0GrajEvhSI3LmjWfpPsl8h2fUmRt/1us7Ke1fc669YDafmLIw5T8PPs9Ys4bTSMeFZ82\n",
       "hFBFhuhrVGLlC2crgYbJB9o3QeecCPYFIYQ2PXvHUc2RfNfzx0w2qDs4ag8lIeQcAM8jHoB7i1L6\n",
       "ZCdjXgTwB8RDDVdTSo+qkjjB4eMzCf83/cGH1I31DdBZ7Jjx2EzdjClTL8lh2NcHRg2Xb1i56vZt\n",
       "v2xKlv3hlWwo1jyuX7+rpK1bINfWIr2uhr+0bvd5PdzrC1lFTmOokkrizeP3kBQNAK17dbYVkFaF\n",
       "YWs9HBeoSHH0FvLyuFK3x49m79NJxqzlG6N+czPnv4b6ZGpKHvJJcz/HdFN2UYGLGlRhotknmMso\n",
       "crVKjCw3B90retVtW2cOeSIHO9eWiF9dOKQwy2aJF6z06pnP25yOvqUuz+sPPfhEX5PRhJdfeGF8\n",
       "64biO7999T2FJYw0ypJeuULwPtbxB5aiUByJB2oEl/wtmvEtAECVEl9TfUN5XW1dkTPNycREERvX\n",
       "r2vup7O6AEBQqWw2q23P/kaTUT1yzKgBZ5x+ugYApky5K3XKXVNugBc3den4jP0z+PAZoD5ItumJ\n",
       "TUyOMf5YhI+EvYwYdMMQ9YezQ15PGpVjPbrQ8u9oaS+0WQVge1z6x0cp/c00DhMcX9reaxHxwh7B\n",
       "Xb5Gq7Gkm7VJmbwhtbdsSC2IdKWgJ6nHqEbv6jktSC60ghDQWBBUClcebJ+26vGrdn3/1KVKysBZ\n",
       "aLtPM2o9Q3hNXnecX4LjQ6Io5yC0aYC9DOAMxHtKriWEzKOU7ugw5lwAPSil+YSQ4QBmAxhxNMf9\n",
       "vUMIIT3y8q5SKPvntdGGH4aqHCu7sp/A8xgwaCAAoKmyCrkBn2Wgq2qcWow4L5BFmZMlllXkiwiV\n",
       "05lbb9hHkKYPkIr4AwCggHgUhqmVGbZ2q8nUQ1PUN0W0JdEV20qK82XTHZLWHGofKykSqan2GdO1\n",
       "yT7O7qQuQcMFCyZkRPVJ/oigGe5iuLkghAQAgAA8Q2HjIzAq7mDjhhXvTQjLbx/O62Pk1bG6ltZY\n",
       "+zYFRV1dveqm227r5UyNn8KUe6c6p9xy87UjYs77XdGAarG/amJIjK17/NFH+9165+0ZQX+Qvvnq\n",
       "7C0DNMmLDufYB6JvRPvEM489iqRUR67H5Q6aGgOPCvoUBQCYYHT+53O+GPO3v/5FpygKPv/8i8jA\n",
       "AQP2XHkIIVCpVJ0Kq59KeGMhPhwNcGLQDRL2SY6w19dHDEfygOjRVGEfDlsAYS3AbwTErUCjHwgl\n",
       "KrZ/31BK27UvPYQQlbt8rV6blGnWO3ozBkfP2MG0LjXWDFFntE4O7vr+cXAaHYkFdmcM/OPUQx2T\n",
       "U+moNW/k/Oa6sttgysgAACXil6kYKum+M0uQoHs5Wg/lMACllNIKACCE/BfA+QB2dBjzZwDvAwCl\n",
       "dDUhxEwISaGUJtrGHSGDBw9+Y/pDD16upoym5Jct43/44pu3RzD2f3ccwygScbpr7ZagK10TC6UN\n",
       "FqN8yWUXB3rZkvS0vh6s24VrgYsQf/wKiZCoV6cnIYNRao3GmrLCsc9jvLomoDbUNppS63xacxgA\n",
       "lodrzr7mjhvHDR8yRA0AObvLBzz5yKyLeoaZT3fygRtYjjUJIjeP6XuOUqZLGhIRNINFlu/fsU82\n",
       "qEJ7puhQlG5AUboBdiGGHxb8iPMu/Kvuqd0rJiKMfQzKEl+jrVkrXQ4KOT2q+XD/kK7A8krT7pqP\n",
       "Zr/x5nX9+/W1Lly4uD7Y6p0niuKt69auI6Ikom9RPygUtCHs1VXYuNeuv+6BPi5XqzLnPx8HZ0x/\n",
       "uCUUCPhSvbjHbHLE0A0YebU4SlI/guoYAB2g31vNnRRlN63fuFF0edyQJBnn/vFc4cMPP/KMGz/W\n",
       "mJLsIN98843HV98yH+yvi65OZiRZIt5YSAiHPawU9FBj2BvqEfa4MoBYd1Vid4X2sPbqeFg7sBVo\n",
       "pJQeVjFWgt8HbekOUUKI212+VqNP6WnWWDN0ekdPakjtHeksJJ49+spt6KR9XenPs8dGQ/7LACWQ\n",
       "kj/ycVuv8fsoS6QUnd3qbXj54VjForsow6tFT/V2Gmy699idXYJjzameQ3m0BmUagOoO2zUAhndh\n",
       "TDri1ZEJDhNCiOqmm24867SJEzXrFy7FuX37mj1ffXXxyJIlCqRYDlWkPJ0iJ7FUSWP2qwO2NwWB\n",
       "pgYQADIgB3ghEmbYZpNC14msUBPlVbVBlb6uxZBc22qw+Shh9ux7wIoQnsvKzcneYxxmZWVyVKXK\n",
       "KbGlvj/2nAvzdnsJttWH/qyQfR1srCyV8RH/eqZhvYO0lqr7nnN6wV+G/s0IAJ999hkKiuLphizL\n",
       "MR1T5Ep8jTaaa3rj6Vuvz5ZlGTOfe21sdYP77xk6i7/j/MMY++c7fly/eO03C515elv5CG1q9O03\n",
       "37z22uuuMxj0esx4+MEo0+j7oMSo+vv06U8XWqxWvP7yC+wLL75g1Om08PsCtgemTn0U4a6FmY+G\n",
       "6pA749o/Xq0dPXpPwx1m7udzK6dPffB7XqVKZYLijyOE5CPuXnAiERIjrD8WFGIBNxD2yKkhz2/u\n",
       "hWxnN8BtiHsk6WbA1RyX/UmEtRMckraq/iCAICGEd5Wt1OjsuUl6R0/ekNpHNKQWHDTPdtdPr54m\n",
       "srpnufyRdsgxNOxa1E8w2M43Ogv3Sefpecbk+QDm72m96K3tlh+4CY4PSiLkfVC6egPYP4n0xKgE\n",
       "OjmhUky0Ndx2O3QffAAPpTg3bqDfs//AmE4HVU4eItYkumXr1m25UfmzsKCtnZNsPfsPt9163vBR\n",
       "I3Xbtm5jn3j2eX60YvvgV/vLIrOKtl7LqlW5TDi6YiTv+Gb/Mfoofv7os3kXjvnD35KLG8NYsrVa\n",
       "cg2+4VwwLPtVSdu1j7Dgor4QD/ZrQ9i3Lqt59wZNQ3FoVxLz9oOPzOjD8So8NPXuyPKli/0ypWTI\n",
       "8NGqvPye/IrFi4LV5bvrWimuTIqy83sbHI3NWunq526/IdtgiCcH3n3ztfnTH33+LxmwvLf/2nqb\n",
       "HM29TY5mAFgSrvnjLZPv1fbrHzdUH3r4YdV9t915HmFYtV4fn0uv00Gni4tDGox6pGdmpKDk2Nez\n",
       "ZGmtVatWrmwePXpUGgDU1NYqYV+gfCzjeBEi9stWPblo70oTCvu4aNBFVGFvNCvobsmkcvS3yIXc\n",
       "nwiAdYB6I8BuASIb4r+VQgnZnwRHyn75lhqdfZNZk5RpMKYVyUZnYYRT6391v4tFQ5O4vFF2QgjA\n",
       "qcCmFPVp3LpgiNFZuOy3P4MEvxWJHMqDUwsgo8N2BuIeyIONSW/7268ghMzosLmIUrroKNd3ykEp\n",
       "jZ0+fmyo2mLVGghBxGxGM2EkD8v5RlxykZVNTwfrdOL1b+ej9+DhoDyP4SNHkx/uudszyCN8DQBC\n",
       "rm7qiNGjNABQ1LdInVvQc5C0tYlwDLfPhW+t4J919wMPTszNyeWWLF4y5t9vvzvYaDZYY4JZE9AV\n",
       "bFCsObYoJwwoZ7nkZT+0v+1aDgxg5WN0eK6VFDpUKLDzmP7Q7JXDotY9BVs/BxpH3zDl/gK9wYRX\n",
       "X3gWj06fprbbrOpvvv3e99mnXyxaufDnmCSLeXffcdPY5OTk095598O/Lli75ekYT+3eQADtBqVC\n",
       "FYAqh/yBwnCsyWKx7nGTGg1GsByv0/vFj2a/9OLIyXfelerz+kApBSEEsqygqak5kPYbWHM5Bptn\n",
       "7ebiZx54YNo/jAajqrK8Yle/mP5Z8Ife90REkiXiE8NCOOxlxYCLWkPuQEHEF8wHojbguFxR272R\n",
       "G7CnyCaQqNZO0N20pUqECSEt3qpf9Dp7rsXgLGSNaYVRjSVtbxqHokRBZYDEb8FUjsYYlu9yt7AE\n",
       "B4cQMgHAhOO8jN8dR2tQrgOQTwjJBlAH4GIAl+43Zh6AyQD+SwgZgbjsRqfhbkrpjKNcz+8CIovb\n",
       "WyeOHPeNyYAzRozAnDnzqjQ6o3japEl7pCmkHxciEAqguq4eaRmZcsjjKwfilcQxUdznph6LxmQW\n",
       "ZB+jzBUNqApH9Suyp2ZxG6t8aNT21MtDLvuzS+8gwZgCAEP2DKY0xsniVpUU3WQMeTdmNO7cUhHc\n",
       "9uiQoitH2AUb/9KLH1drWmOvdKw4JpSK4XBYrqurZQoL8mG3xZd+3rnnGJcvXWlu2b77hStuu+at\n",
       "/v378QDQq0+v9NScvCd79+7Nv/zxvNiFp40U0lKT8dTL75TkKcY5h3rNUiLs92+8NvtvD82YkcVx\n",
       "LF568aUGfVD6b3+do2zj+u133Td58jXhWER/z5S7nQW9e2tKikt8TK17JrQph/3+HAlDueRFaMAi\n",
       "NPiQBitONmMyJscYXzTIh0MelgbdcnLY4+8dDYaPRyi7HS9AtgCqdQC3HQgnvJEJfivavJZuQojH\n",
       "U7leq08tsOqTe+iMaUWyMa0oYnLkPe4pX1LIOfrlUTEYpc3Fi3L+MCWhftJNtDmjFrVvE0IePm6L\n",
       "6UDCQ3kQKKUSIWQygPmI5+u9TSndQQi5oe351yml3xJCziWElCKec3LNUa/6d86GrTv+/ibLftYj\n",
       "1Zn2yRffBEJ1nmddmsC5VVXVPTMzM4jH40FMBsIxGRvXrfdtXrth5SDJ8GL7u91aWfPFx//++Mbx\n",
       "E8Zb1q1Z660vq/g2i7Gh0eQwVtuyC/xqY68wryoEIcmL3tu698BCMkFMgVnDItvMoHjjutUORj87\n",
       "v27HjnZB8XZssuXOV555/UyGZ20povBDX3089NzOaEvWuv988MH6Cy+5eIjb49vzOaSUIhKNKhTg\n",
       "NWo1AwA+rxeeQBiTrrpGBQD9Bw4S7rnjtlrR7f0qT9L/t71l48HINyS7thXX3XLXzZMnMyzD8O7w\n",
       "R4M0jhIAGKhzlEDEfSAAbZFRu2Cdvp/aGCC/kTF5shKWoqw/GuTDgVaGDXlEZ9DlzZBjkZ5A9Og6\n",
       "JB8dWwDhF4D/BZDLAG/CG5ngeNEmO9aea6ny1Ww1a21ZRlPmwBZBYzrfXbVxAstyrXl/mLKE4U7i\n",
       "3JYEXeJUL8pJCJufpBBCuF56+5//lj24Ss3yckCMcGt5zydDhg/LISyLv1x8OUKhEGbec+/r4znH\n",
       "6x33VQjBSoaOCFlSzpSMWZSaUk0Sy/dWGNa5/3FYKNBTP+BvUByqKO668k9Mko7FjuIS6flZLzw5\n",
       "VpNxSO/ggYjIIrsm0nCmohMu+tvf/q9XXm6OZs4XX9U2biq9vydvLt5mCL8xfdrUAaIkYdGaDcpf\n",
       "/nrRniqhR6c9uKF3g3LAbhMJjg17imr8LWBCHjEn0Oo9XvmQHamJd7BRbQJIWbxS24tEJ5sEJyCE\n",
       "EF5lTDFqbTkWc+YAasoY0GmeZUf2FOXUbts/pSxBFzgR7AtCCK2adu1RzZH5+DuntrB5guMG1XKC\n",
       "R83yMgDoebUkiPi436BhUwYMGqQGgGWLF/tYot+xMXtIP5/WlB/hNT1Elu8hs1wPShjTr2ekEU6R\n",
       "dvJSrEQTCxdbfI3b3E1LZzz6xOMF1qTxzM8//SR98O5bUlHvXtLcuV9vGCo4vjyaE1CzvDxOl/E9\n",
       "gO/nvv7v/orApicrqjWDjHFvZp5HvHna/TP+wbCshWhUfc4446x8k9mMEMdJBgAAGyhJREFUNatX\n",
       "hV31jWtADtryO0E3ERIjrC/iE6JBFxGC7mhW0N2SR+XIbynt0xlegGwAVFsBdjsQK47rRoYppcd1\n",
       "XQkSHIy2cHgrIcTjq96kNzjXJhmchawps3+kO3qIJ0hwvEgYlKcACiGoTsq2q4zDq2Z/vWG7fkVd\n",
       "fphouBCxMHTkdc+3dLIPoUqAlaWdghTboY2Fiq3+5h15jTsrVVJszwVtm6cuZeKl56VYk+IdZ047\n",
       "/XTu5/nzi9f9sPSVkfbctWqe77aL3xhrziYAmzr+zaY2RMbB8CIA1Lk8+ofvnTpFrdVZoh7/ulHE\n",
       "+tGvtAMSdBuBWJgLRP18xN9CdCF3ODvoau4FRI5lm8OuEAGwHlBvAdgdgLQTcDfH8yITIe0EJxVt\n",
       "gvleQojfU7le663uZzOmFarN2UMShuUpSiKHMsEJyaBr37ucRPxXfa02pMoMmwVC4no3yMY+QmaU\n",
       "xlhF3s3LYqkgRkr10UBpsrehNLOlvKmzHtgd0XHqiMvl2ttxRqGQqJx9wfVXP7pp00ZPeVndowNV\n",
       "yZsONkd34dSaA04Zj8APgFUfcNxyf/UIUcX30keVVUMMzkRXicMgEAtzvohPiAVaoQu5wz2CLnce\n",
       "ED0RjMjtgGobwG0FlBLAUxPPS4smQtoJTnbaisQChJCgr2az1lu92WbK6JcwLE9BlFM8hzJhUJ6k\n",
       "EIYZRXSW09qvNoQqHlaRKzhZrBCkWKU2GqywBF0V2U2lNR29joeCKjJWKM2XQeD6EJW0tm7t+vnz\n",
       "Ur68ID8/3/jVl19Gr7/+BnWvgl7qC/96oeWBe6beixZcfoxO8bBZgpY7T79y0v/1KuyrX/LT/MuX\n",
       "L17+/Ggh+dvjva4Tmf2NyP9v796j4y7vO4+/v3OR5JuwjbAdWzaGhHuA5X7bFqcNrQvbJhs2TUmT\n",
       "sA1tWBpS2tOGSy4Ne842hZzTEw5LQwmhlDZtIQkpsARISBrv0uBwBwO2AWNsS7J1nZE09+t3/5gR\n",
       "CGFLY49Gc9HndY4O8/P8NPPVczQ/Pnqe5/c8xyYiA40UIrdD8BVgN8RegxiaFyktauIGHjNLxva+\n",
       "unCsZ0tX55oPLlh65OnpGb9ZmoJ6KKUheSH3zwzuHFsfatv6vmjf7lVj+2ZlBe4ng9GvXfXnf/qb\n",
       "J598csfmzZs3/NOdd3/v53ff97lHg97dfeoJf3rc8cd1Q2l/6eVdyxcwPDrTS86K7fGBVQPt/lvk\n",
       "8kPnta98pC0YftcnM55Lh7pPOu7XL/i1ixYDfOyTl3d9c8eO32PIFSinmDqcfWwiMnA8pOu1RuSE\n",
       "yT2R28Anhci0lvqR+WJqsBzve6VryarjFgAzrmYhjc0Lrd3hrEDZpJ6/+4onT1u6JnzakadHD/Z7\n",
       "d8SHuvZ1FDZ6Lj96dtvKRydu7MkX83b0Scecfsopp3QAnH/++Qv//Wc/u2A9qVuB1385MPix0dHR\n",
       "7qVLlxKNRundtadvDZ2z/JO91wuJ/mMXn/KBv/ni5X+wZmhoMH/P7d/6jfNzh10zeSH2rBeD4Y62\n",
       "d82qtIAdpk2ZSiZurJkIkY00nL0FOl4r9UQW90JsW+l/nAqRMq9NWXJoUbBtUWCm7xGpJwXKeebl\n",
       "eP+6jhOOvPVLV35uXTQSKfzdbbddcnZq8efbguFiEPNcdsqi59nc24FjfdSv++p113/18CNWrIgM\n",
       "DgysHwv8LxbUvub04Qv/x5f+4ro1wWCAFatWhS75bx8/80f/+44TfnXFMVsnzlnetjDz0pYtL+94\n",
       "beuq9x97gj2z+QkO6+w8YnPf6x85L7TiwdpX2Xim3p19VHy4IW6sGYTAG9C2FQLbodgDsZ2l/3Eq\n",
       "RIrsh7trF50W0OrrUCpQzjPx5R1/fONXv7IuHA6xZs3q4Cc/85nT7/nrb57+oSM+8KwFgvS9uevR\n",
       "hx588LKzzj77sE2bNkWje/b9kEBpeZ5VCw5LrMpwPb1ZYBlzESYBAoGgBQLv/HHe3t5ubvae393Q\n",
       "4Ng/PL3pZxteff6pthNPOJFrr7+24ytf/OJFRJg3gTKVzwTHM/G2dGzI2hLRzNGJ6NCxXqh7iOwt\n",
       "7Z3d/hrwBhR2lu7OTqEba0RkntAcSmkpgUAgEAq9vaU17Qs6ggTs7S0azqPr2z/5x/uffuT7D5zS\n",
       "ni48c86S7m11KXSSwEjsX//h27ef8OnP/tGKyMiwP3DfvVvPWrb21annLQy1Jbu7Vycv/fjH2wDy\n",
       "hQLpVDrXdPsYHqRsIRsYTcfbUvGRQCgRyR4VH6n7OpET8yF3lpb3sR5Ivw6D8VIvZHbGFxARaTG1\n",
       "CJRmthG4hdJuhd9x95unPP/7wLWAUZqTfpW7b5n1QlCgnHdC0eQ//+2tt5181ec/v3JsLMp3//7u\n",
       "racued9zk885t7P7ReDFRslhZy1Y9fTzv3j2z2947oVLi/l85NTikjsXtre/p8ftjOXr9jzx+E83\n",
       "Lelc8ptru9ct+MH379vVMRi/hSVL6lF2TU3snZ1MRIKBeCR3ZGwocpQX0vXcsaYXgm9A+DUIvgXF\n",
       "Xoi/VpoPmdFi4yIis8vMgsBtwIeBPuAZM3vI3Sd3BO0EftXdx8rh89vAuTWpp1FGmxpha6RmYmbB\n",
       "05auufDSQ7gp54Vk//HxRaFPFPP58eOzC+9YuaAzWYsa6+WJ4Z0fzIfsiKNChz2/fvHyWbn7vRHk\n",
       "C3kbyybakolIkPhIfl18ZOzIQjZ9PNSlx2+iF3IXhF4HdkN2N4wNlp7SULaINIRGyBdm5tv/6L9W\n",
       "9RrH3/lv79p60czOA77m7hvLx9cDuPtNB6hhGfCyu3dXVcgBqIdyHjpt4artOP+TIHM2D3Iu/UrX\n",
       "0a/Uu4bZ4sUC0WyyPZmMBoux4cLqRGT8jFwqWa8Q+RqEd0J4B9guKAxCfNs7i4yrF1JE5ABqcFPO\n",
       "GqBn0nEvcM40518B1GwpPQVKkQYzESJTydFAPjHiKxOR8ZMzieSxkGmf41p2Qmg3hN6C4A7wIUju\n",
       "gEisFCA1F1JEpEI1mENZ8SiQmX0I+CxwwWwXMUGBsgV4scDmUOSGdUcffWYqnaKvpze2eNHioeJ4\n",
       "8qdnh1b8uN71SWVGM4m2RDIayseHi12JSOyETCJ5IqTnMkROzIPcA4EdYEOQ2gOR8jB2Vsv6iIjM\n",
       "jaf3DfN0/8h0p/QBaycdr6XUS/kuZnYKcCew0d0PeppcpRQoW8CTxcFPXvWFP/ntU8sLkt//bw9y\n",
       "8sknsfXVbWf89IcPh88JrXi43jXK/o1lk+F4ciyciw358mQ0fkp6PH4cZDrnaEX2iR7IiQA5AOne\n",
       "UoDMUOqFVIAUEZkFXji4y/pZKw7nrBWHv338rZden3rKs8AxZrYe2At8Arhs8glmtg74IfApd99x\n",
       "sDUfDAXKFhDs6PjgRJgEOOvM03h162t89KMfWfqLJ/7jN4iiQNlAJvbPzsWGfEkimjwxNTpyEqRr\n",
       "HSLTwO7yHMjdYHvAI5DeowApIlJzxVke8nb3vJldDfyY0rJBd7n7NjO7svz8HcBfAsuA280MIOfu\n",
       "Z89qIWUKlC2gkM6+8tKWLRsmQuVzz7/EiSceTy6fJZVK56FtppeQGnt715r4CAsTkfRc7J89CIFd\n",
       "0NYLwT3gPVAcgdTu0hzILKUhbN2JLSIyB7w4+5dbd38UeHTKv90x6fEfAn8462+8HwqULeD8QNe/\n",
       "3H7rt9Yf+f6jz0ikkocv7zq8fd267vZrrv7CWCCX79icGfu9c8Or77VAcOYXk1kzl7vWTPQ+7oFQ\n",
       "DwR2gw9CLgrjO0o70uQo/WWqACkiIrNOgbIFWCDIBX7E19kRA+CJlzZ/cPvzz33lr/7simNWHr70\n",
       "3M0vvHrqPd9/7LDzAmvvmOGlpEpztWvNTgjtg1AvBHeD7wOPQ+oNiMZLvY85d6/rdosiIvKO4kHO\n",
       "oWw2CpQtaHV7Z9/RZx6zbOXhSw3gvNNOWvDI/33qXKIoUNbARIjMxCNmyWh+tnet6YXgXghPDF3v\n",
       "Ax+DzO7SftgZSuGxbjvkiIjIzLSXtzSdJeH2dGR07O0eMcdJpjMFWFzPslrK1K0P1yYi0fcXsqlq\n",
       "Q+REz+M+CPQCE+FxEEb3lMMjGroWEWk6B3uXd7NRoGxBKzo6U0/t6Hn4vkd//vETP3DU0h9t2tyX\n",
       "H0n/LQvrXVlzyxfyNpqJtSUTkaAlovk18ZGxMwvZ1KHsWjNWuss6PAyBifA4BMQgXe55zFL6yis8\n",
       "iog0Pw15S1M6J9h9+6aHn/7Jo/Zk9+pw56und64ZrndNzWgiRKaSo0HiI4cUIieGrAchuA+8FxiG\n",
       "QgpSOyEZL/U65jVsLSIizUqBsoWd23XUm8Cb9a6j2ewvRB5dQYgcLPU0hkcg0F/qefSJXsd+GOt9\n",
       "Z8g6rxtmRETmF82hFJkHJuZEphPRgCcihelC5OTgOAS2r7RFITHIjEOiF1Kx0l3dOXef1bu7RUSk\n",
       "ORVrsA5lI1GglHlr4u7sdDIaID6S705E3xUieyH4PLQPQHAYbJC35zlmxiHRA+mJ4Wo011FERKah\n",
       "m3JEWkgqnwnGMolwKj4SCCZHcyviI6OLirl8BxSiEHwSwg9AeACKKciMQmxHaag6j4KjiIjIfilQ\n",
       "SstL5tLBodTYglhsMJRPjhVCqbHxrBezKci9DPkkZEZKe1pneSc0aqhaRERmzWzv5d1oFCilZaQL\n",
       "uUAqnwtmivlgJJduG8omwtHkmCfSsXQuPT6U9OLYOCTi7+5tbO1PuIiINAQNeYs0kGwxb6l8Lpgq\n",
       "5EIJihYvOnEzxrxADCyZzxVHU2OZRCYxmB7tiwJxdz/odSJFRERmkwKlyBybHBpTxUIgZuYxIAmk\n",
       "Qm25bPvibKKjM55rX5gvZFPBXCJCenxfLhuPxJLDb8WBjJblERERmTsKlFIXk0Njxos2BkwOjZm2\n",
       "hblsx4pEdklXNtTRWQh1LCm0L+nKZ2LDoVS0N5wYfNPSfS8X0uP9I5mx/iSlENnaf/6JiEjT0hxK\n",
       "kUN0qKExEGonDISBBfkMiaG32mP7trUNvPxWe3p8IJ0a2TNUyCbTGsoWEZFm4VqH8sDMbDlwH3Ak\n",
       "sAv4XXcfnXLOWuAfgRWAA99291ureV9pHDOFxmz74mymfdG0oXHR1NdMRAKJoZ1tqUhPIBXZ45nx\n",
       "oXhyZFccSGsoW0REmpH28p7e9cDj7v4NM7uufHz9lHNywJ+5+4tmthh4zswed/dtVb63zJGJ0Jgp\n",
       "5oOpYiEwBiTcLW7mM/U0hij9kk0NjZMV8xmSkZ621MiecHJkN5nYUC4V6YnmktEUGsoWERFpeNUG\n",
       "yt8BLiw/vgfYxJRA6e79QH/5cdzMtgGrAQXKBlLwIsl8NpQq5IKpYiGQAMYp9TamA8FCrmNxNtXR\n",
       "mcgu6coG2xYWwwuX5WfqaZxOenwgmIr0hJPDu4Lp0b5iuRdymFIvpNaAFBGRlqK9vKe30t0Hyo8H\n",
       "gJXTnWxm64HTgKeqfF85RIl8NpgqZIPZYiEQc7cYpeCYCAQL+fCCfGbRslRyyRGZUMeSQnjhsnx4\n",
       "wWGFUMdiD1AKjAcTGifLp+OWHNnVnoruDaYiu8nGRzKp0b2RXCKSRr2QIiLS4ub9skFm9jiwaj9P\n",
       "fXnygbu7mR2wtcrD3T8ArnH3+MEWKpWbuuzOOPi4YXHMs20LcplFy5PJhcsytqgUGNsWd+VDHYvd\n",
       "gI7yV7UmhrHT0b5QcmQXmfGhQjYxMp6K9Ezcka25kCIiMm/M+zmU7n7RgZ4zswEzW+Xu/Wb2PmDw\n",
       "AOeFgfuB77r7A9O83o2TDje5+6aZ6pvPHCyaSYZTxVxwam9jaYj6nXmN4UXL8h2dKwsAbeWv2TQR\n",
       "IDPjA6FUpMfSo/sK2fhIIjmyK0EpQOZm+S1FRETew8w2ABvqXMZ7eFFD3tN5CLgcuLn83/eERTMz\n",
       "4C5gq7vfMt2LufuNVdYzn/hgqC35kwWd6dTiw9NTexurHaKeyf4CZC41nkwMvpEAMkBOw9giIjLX\n",
       "yp1RmyaOzexrdStmHqk2UN4EfM/MrqC8bBCAma0G7nT3S4ALgE8BW8zshfL33eDuj1X53vNeZln3\n",
       "UPuZlybb5+C98um4paK9bZnxgWAq2kdmfKCoACkiIlKZeT/kPR13jwAf3s+/7wUuKT/+DyBQzfvI\n",
       "3EuPDwQzY/3h9NhAMD3aR2Z8IJ9NjsbT0d4UkNWi4iIiIpWb9zflSOub6H3MJkaC6dF9lh7r90Im\n",
       "ns3Eh0czY/1pSgFSS/mIiIgcolosG2RmG4FbgCDwHXe/ecrzxwN3U1ph58vu/jezXkSZAuU8U8xn\n",
       "SI/uC2fiw8HM+EAwPdbv2dhQIZ9JJJLDb6WALKXh69aePSwiItLEzCwI3EZppLgPeMbMHpqyccwI\n",
       "8AXgo7WuR4GyheXTcUuP94ez8ZFgJjZomfFBcoloIZ9JpNKjfclCNpmj1PuoJXxERERqqAZzKM8G\n",
       "drj7LgAzuxf4CJM2jnH3IWDIzC6Z7TefSoGyBRTzGTKx4VA2PhzKJUcDmdiQZeMjnktGC/l0PJmJ\n",
       "DaYUHkVEROqnBnMo1wA9k457gXNm+00qpUDZxPKZuO964q6FueSoFzKJdC49Hs+M9WeAPBq2FhER\n",
       "aRjFg1wI5eVMgleyielOaai7fBQom5S7F82sFyjohhkREZHWcnL7Ik5uf2c16XsTQ1NP6QPWTjpe\n",
       "S6mXsi4UKJuYu2fqXYOIiIjMrDD7SzU/CxxjZuuBvcAngMsOcK7N9ptPpUApIiIiUmOzPYXS3fNm\n",
       "djXwY0rLBt3l7tvM7Mry83eY2SrgGaATKJrZNcCJ7h6f3WoUKEVERERqrgY9lLj7o8CjU/7tjkmP\n",
       "+3n3sHjNaAcbEREREamKeihFREREaqzFd15UoBQRERGptVoMeTcSBUoRERGRGlMPpYiIiIhUpdV7\n",
       "KHVTjoiIiIhURT2UIiIiIjWmIW8RERERqYoCpYiIiIhURXMoRURERESmoR5KERERkRrTkLeIiIiI\n",
       "VKXVh7wVKEVERERqrNV7KDWHUkRERESqoh5KERERkRrTkLeIiIiIVKXVh7wVKEVERERqrNV7KDWH\n",
       "UkRERESqoh5KERERkRor1ruAGlOgFBEREamxVh/yVqAUERERqTHdlCMiIiIiVWn1HkrdlCMiIiIi\n",
       "VVEPpYiIiEiNtfqQ9yH3UJrZcjN73MxeN7OfmNnSac4NmtkLZvZ/DvX9RERERJpVwb2qr/0xs41m\n",
       "tt3M3jCz6w5wzq3l518ys9Nq9fNVM+R9PfC4ux8L/Kx8fCDXAFuBFs/nc8fMNtS7hmajNjs4aq+D\n",
       "pzY7OGqvg6c2a14Fr+5rKjMLArcBG4ETgcvM7IQp51wMfMDdjwE+B9xeq5+vmkD5O8A95cf3AB/d\n",
       "30lm1g1cDHwHsCreT95tQ70LaEIb6l1Ak9lQ7wKa0IZ6F9BkNtS7gCa0od4FSMM4G9jh7rvcPQfc\n",
       "C3xkyjlvZzV3fwpYamYra1FMNXMoV7r7QPnxAHCgAr8JfBHorOK9RERERJpWDe7yXgP0TDruBc6p\n",
       "4JxuSrltVk0bKM3scWDVfp768uQDd3cze09Lmdl/AQbd/QV104uIiMh8VYObcip9xamjwzWZfmh+\n",
       "iInZzLYDG9y938zeB/zc3Y+fcs7XgU8DeaCDUi/l/e7+mf28nuZXioiIyKxz97pOuZutjDP55zCz\n",
       "c4Eb3X1j+fgGoOjuN0865++ATe5+b/l4O3DhpBHmWVNNoPwGMOLuN5vZ9cBSdz/gjTlmdiHwF+7+\n",
       "24dWqoiIiIgAmFkIeA34dWAv8DRwmbtvm3TOxcDV7n5xOYDe4u7n1qKeam7KuQm4yMxeB36tfIyZ\n",
       "rTazHx3ge9QLKSIiIlIld88DVwM/prSSzn3uvs3MrjSzK8vnPALsNLMdwB3AH9eqnkPuoRQRERER\n",
       "gTpuvVjJwuhmttbMfm5mr5rZK2b2J/WotZ4aadHSZjFTm5nZ75fbaouZ/cLMTqlHnY2ikt+x8nln\n",
       "mVnezD42l/U1ogo/lxvKGzq8Ymab5rjEhlLBZ7LLzB4zsxfL7fXf61BmwzCzvzezATN7eZpzdN2f\n",
       "ZKY203V/Drh7Xb6AbwDXlh9fB9y0n3NWAf+p/HgxpbkCJ9Sr5jq0URDYAawHwsCLU39+Smt8PlJ+\n",
       "fA7wy3rX3QRtdh5wWPnxxvncZpW016Tz/h14GLi03nU3epsBS4FXge7ycVe9627w9roR+OuJtgJG\n",
       "gFC9a69jm/0KcBrw8gGe13X/4NtM1/0af9Wth5IKFkZ39353f7H8OA5sA1bPWYX111CLljaJGdvM\n",
       "3Te7+1j58ClKa3LNV5X8jgF8AfgBMDSXxTWoStrsk5RWtOgFcPfhOa6xkVTSXvt4Z63iTko3fObn\n",
       "sMaG4u5PANFpTtF1f4qZ2kzX/dqrZ6CsdGF0AMxsPaW/Pp6qbVkNZX8Lkq6p4Jz5/EGppM0muwJ4\n",
       "pKYVNbYZ28vM1lAKABNbds33ideV/I4dAywvT9l51sw+PWfVNZ5K2utO4CQz2wu8RGm7XjkwXfer\n",
       "M9+v+zVRzU45M6p2YfRJr7OYUu/INeWeyvmioRYtbRIV/+xm9iHgs8AFtSun4VXSXrcA15c/p4a2\n",
       "UK2kzcLA6ZSW81gIbDazX7r7GzWtrDFV0l5fAl509w1m9n7gcTM71d1jNa6tmem6fwh03a+dmgZK\n",
       "d7/oQM+VJ8+u8ncWRh88wHlh4H7gu+7+QI1KbVR9wNpJx2sp/SU63Tnd5X+bryppM8oTsu8ENrr7\n",
       "dENLra6S9joDuLeUJekCfsvMcu7+0NyU2HAqabMeYNjdU0DKzP4fcCowHwNlJe11PvBXAO7+ppm9\n",
       "BRwHPDsnFTYfXfcPga77tVXPIe+HgMvLjy8H3hMWy70hdwFb3f2WOaytUTwLHGNm682sDfgEpXab\n",
       "7CHgM/D2qvmjXoMV8JvIjG1mZuuAHwKfcvcddaixkczYXu5+tLsf5e5HURopuGoeh0mo7HP5IPCf\n",
       "zSxoZgsp3TixdY7rbBSVtNd24MMA5bmAxwE757TK5qLr/kHSdb/2atpDOYObgO+Z2RXALuB3obQw\n",
       "OnCnu19CqUv6U8AWM3uh/H03uPtjdah3zrl73swmFi0NAnd5edHS8vN3uPsjZnZxedHSBPAHdSy5\n",
       "7ippM+AvgWXA7eVet5y7n12vmuupwvaSSSr8XG43s8eALUCR0jVtXgbKCn/Hvg7cbWYvUerouNbd\n",
       "I3Urus7M7F+BC4EuM+sBvkZpGoWu+wcwU5uh637NaWFzEREREalKPYe8RURERKQFKFCKiIiISFUU\n",
       "KEVERESkKgqUIiIiIlIVBUoRERERqYoCpYiIiIhURYFSRERERKqiQCkiIiIiVfn/Fz1GHxXsCgsA\n",
       "AAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1089b1a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAtQAAAFrCAYAAADxWR7NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xu0HFd94PvvT7ZRJIOQz1GWCbYzMAxDApiHScAMmosI\n",
       "2DK+KxDDDRmCJwpwA4R4BCPlAvEl4ARw4AbpepSZAGMIKE+SEBjMDFjyTBAkhGCQsU2wwHYCubYJ\n",
       "D0tgEWzLD/3uH1XHp0+fflQ/qp/fz1q1zunu6urdu6q7fr3rt/eOzESSJElSf9aMuwCSJEnSNDOg\n",
       "liRJkgZgQC1JkiQNwIBakiRJGoABtSRJkjQAA2pJkiRpACeOuwBVRIRj+0mSJGkkMjN6WX8qAmro\n",
       "/Y1peCLiksy8ZNzlmEfW/XhZ/+Nl/Y+PdT9e1v949dOQa8qHJEmSNAADakmSJGkABtSq4sC4CzDH\n",
       "Doy7AHPuwLgLMOcOjLsAc+zAuAsw5w6MuwDqTWROfn+/iEhzqCVJklS3fuJOW6glSZKkARhQS5Ik\n",
       "SQMwoJYkSZIGYEAtSZIkDcCAWpIkSRqAAbUkSZI0AANqSZIkaQAG1JIkSdIADKglSZKkARhQS5Ik\n",
       "SQMwoJYkSZIGYEAtSZIkDcCAWpIkSRqAAbUkSZI0AANqSZIkaQAG1JIkSdIADKglSZKkAdQaUEfE\n",
       "70XEtyLiSx3W2RMRN0XEdRHx5DrLI0mSJA1b3S3U7wfOa/dgRJwP/KvMfDTwCuBdNZdHkiRJGqpa\n",
       "A+rM/Cvgux1WeR6wt1z3c8DGiDi1zjJJkiRJwzTuHOrTgFsabt8KnD6mskiSJEk9G3dADRBNt3Ms\n",
       "pZAkSZL6cOKYX/824IyG26eX960SEZc03DyQmQfqK5YkSZLmQURsAbYMtI3MehuEI+IRwMcy88wW\n",
       "j50PXJSZ50fE2cBlmXl2i/UyM5tbsiVJkqSh6ifurLWFOiL+BHgmsCkibgHeDJwEkJnvycyPR8T5\n",
       "EXEz8APgpXWWR5IkadwiYiss7IRji0VYtOYwHNmVmfvGXTb1p/YW6mGwhVqSJE2D5WAZWgXJxeMb\n",
       "PgK/tK4Y6Oyd5SPb74KjFxhUj9/EtVBLkiTNi+Vgefe64p7tmyOiKUhe2Fk8fgVFML1t6YF1sGMn\n",
       "YEA9hSZhlA9JkqSpERFbIxb3F0tsXX5kYSfsWVcEydso/l9qrdYss4VakiSpomqt0J0c2QXbNxcp\n",
       "H7/acP/2u+DorqEXWCNhDrUkSVIFZX70H8G/XoRLgK0UedA7rso8fO5ysL1nKdhumRdtp8TJZg61\n",
       "JElSDVa3TG+jCKaXZea+iLigzIUGjrYMksv7DJ5niAG1JElSV0udCbc13HcJcMOKVA2D5flkp0RJ\n",
       "kqS+3HgYjl4A0LqTouaFOdSSJEldtMuPLv7vnjet6dFP3GlALUmS5lq3yVg6rRexuB92n7OcCrLc\n",
       "SbH+kqsOdkqUJElq0ilg7mUYPPOj1Y4BtSRJmlndA+ZVnQ17nLFwaVxpGlM+HE96zhhQS5KkGTZo\n",
       "wNxZ1aHyNNsMqCVJ0hwbvIXZVBDZKVGSJM2sKrMXVu2UqPngKB+SJElNDJjVCwNqSZKkPhl4Cwyo\n",
       "JUmSerIcRB9fhHseB7+7tnjECVrmleNQS5IkVbR6SL1fBR4GbIUhjwai2WZALUmS5tSqIfWA/0oZ\n",
       "UEuVGVBLkiQ94BsU04c7QYuqM4dakiTNpRZD6h2D+78Maw/bKXF+2SlRkiSpg+aRPIq/juyhZQbU\n",
       "kiRJbVSZ5EVylA9JkqTS6tboVZ0QHclDQ2FALUmSZs7qIfG2b4bjh8ZbKs0qA2pJkjSDWrVG/wpF\n",
       "mgeNKR+O5KGBGVBLkqQ5sfYwHLmgTPMAjtoJUUNhp0RJkjQVmnOiOwXDdkBUvxzlQ5IkzaR+AuRe\n",
       "AnBpiQG1JEmaSRGL+2H3Ocs50XuBHVdlHj53nOXS7Okn7lxTV2EkSZLGJSK2RizuL5bYOu7yaLbZ\n",
       "Qi1JkiZeLykf5k9rEKZ8SJKkmVU1J9r0EA3CmRIlSdLMKgPo2luZ7cyoXtlCLUmSZsogKR+mi8iU\n",
       "D0mSJPpvZTZdRKZ8SJIkMbr0EAkMqCVJ0hQbfr7zkV2wfTPQmPKxa7BtataZ8iFJkqZSXfnOdkqc\n",
       "b+ZQS5KkuWG+s+rgTImSJEnSiJlDLUmSppT5zpoMpnxIkqSpZb6zhs0cakmSJGkA5lBLkiRJI2ZA\n",
       "LUmSJA3AgFqSJEkaQK0BdUScFxFfiYibIuL1LR7fFBFXRsS1EfF3EfGLdZZHkiRJGrbaOiVGxAnA\n",
       "V4HnALcBnwdenJmHGta5BFibmb8WEZvK9U/NzPuatmWnREmSJNVu0jolPhW4OTO/npn3Ah8Ent+0\n",
       "zj8BG8r/NwCHm4NpSZIkaZLVObHLacAtDbdvBZ7WtM7lwF9GxDeAhwAvqrE8kiRJ0tDV2UJdJZfk\n",
       "YuDazHw48CTgv0TEQ2oskyRJkjRUdbZQ3wac0XD7DIpW6kb/BngbQGb+fUR8DXgM8IXmjZX51ksO\n",
       "ZOaBYRZWkiTVy1kNNYkiYguwZaBt1Ngp8USKTobPBr4BXM3qTom7gTsy8zci4lTgIPCEzDzStC07\n",
       "JUqSNMWKYHrDR2DPuuKe7XfB0QsMqjVpJqpTYtm58CJgH3AD8KeZeSgiXhkRryxXuxT4iYi4Dvif\n",
       "wOuag2lJkjQLFnYWwfQ2imXPuuXW6tYiYmvE4v5iia2jKafUuzpTPsjMTwCfaLrvPQ3/3w78dJ1l\n",
       "kCRJ02e5RXv3Uov25oi4oPjftBFNlloDakmSpMKRXbB9M9CY8rGr/foLO4tgetvSHevgVy6FE368\n",
       "Ocg2qNa4GVBLkqTaZea+ooV5R9m6fLSP1uW1/2J1kL1jJ0V6qTQ2BtSSJGkkygC6YvDbqkV7zT8C\n",
       "izUVT+pbbaN8DJOjfEiSNH+ah9kr/jpSiOrVT9xpQC1Jksau6hjVjmWtuhlQS5KkqeMY1Zok/cSd\n",
       "5lBLkqQxazWih50NNT1qm9hFkiRJmge2UEuSpDHrdYxqabKYQy1JksbOzoaaFLV0SoyI7cAfZOZ3\n",
       "ByncIAyoJUkaPYNczaO6OiWeCnw+Iq4Bfg/Yl9PQrC1Jkvq2PPKG03xL3VRK+YiINcC5wC8CPwH8\n",
       "GfC+zPz7Wku3/Pq2UEuSNEIRi/th9znLI2/sBXZclXn43HGWS6pbP3FnpVE+MvM48E3gW8D9wCnA\n",
       "hyLit3supSRJkjRDquRQvwb4BeAw8F7gI5l5b9lqfVNmPqr2QtpCLUnSSDnZiuZVXZ0SfwP4vcz8\n",
       "xxaPPTYzb+itmL0zoJYkafTslKh5VFdA/YeZeWHTfX+Qmf++jzL2xYBakjQqBpHSfKtrlI/HNb3I\n",
       "icBTenkRSZKmgSNbSOpH206JEXFxRHwfODMivr+0AN8GrhhZCSVJGpmFnUXO8DaKZc+65dZqVRUR\n",
       "WyMW9xdLbJ3W15CqattCnZmXApdGxNsz8w0jLJMkSZpSo2jl90qCJk3bHOqI+LHM/EpEPAVYtVJm\n",
       "XlN34RrKYg61JKl2jmwxuIgHH4Qzz4KHA6+gGHV3uONXO0a26jTsHOqdwC8Bu2gRUAPP6uWFJEma\n",
       "dJm5LyIugB1lmsdROyX2oPxB8iR4VXnPNuDCTk+RZkKlmRLHzRZqSZImV8PIKGfB7sWVLcevPQ7f\n",
       "O7+elA+vJGj4htpCHREvpHXLNACZ+eFeXkiSJM2elfnM7261yrXDDnS9kqBJ0ynl46fpEFADBtSS\n",
       "JM29hZ1FML0NeBgrUzy23wVHL67jVcsA2iBaE6HTKB+/OMJySJKkqbeVIrDecRi4xpZjzYtOo3xc\n",
       "mJl/GBE7KVqqo/FvZu4eWSHNoZYkaSKZz6xZM+xRPk4u/z6ElakfQedUEEmSNCfMZ5Yc5UOSJEl6\n",
       "QD9xZ9upxxs2+qiI+FhE3B4R34mIj0bEv+y/mJIkSdLs6BpQA38M/BnwIxTTHv058Cd1FkqSJEma\n",
       "Fl1TPiLi+sx8QtN912XmE2st2crXM+VDkiRJtRv2xC4LFB0QPxERv8Zyq/TPAZ/ou5SSJEnSDOk0\n",
       "bN7XaT2ax9KweY+ssVzNZbGFWpIkSbXrJ+50lA9JkiSpNOxxqBs3/HjgscAPLd2Xmb/fW/EkSZKk\n",
       "2dM1oI6IS4BnAo8D/gfwXOCvAQNqSZIkzb0qw+b9H8BzgH/KzJcCTwQ21loqSZI0NSJia8Ti/mKJ\n",
       "reMujzRqVVI+7srM+yPivoh4KPBt4IyayyVJkqZAEUBv+AjsXlfcs31zRFzg9OOaJ1UC6s9HxCnA\n",
       "5cAXgB8Af1NrqSRJ0pRY2FkE09uW7lgHO3YCBtSaG10D6sx8dfnvuyPiSmBDZl5fb7EkSdKkKFqh\n",
       "F3YWt47ssvVZWqlKp8QAXgBsphiX+q8AA2pJkuZA95SOI7tg+2Zg6fG74OiusRRWGpMqU4+/C3gU\n",
       "xUyJAbwI+IeGluvaOQ61JEn16Nb6HLG4H3afs5zSsRfYcVXm4XOrbkOaJnWNQ/0s4LGZebx8kQ8A\n",
       "N/RePGl0/HKXpO7atD6/FRa2FLeP7IKFrtspv2P9ntXcqhJQ3wz8KPD18vaPlvdJE8ke55PJHzma\n",
       "ddN5jDd3KPzSOrj8LbC7HFZ3+2Y48lZTOqTO2gbUEfGx8t+HAIci4mqKHOqnAp8fQdmkPtnjfNL4\n",
       "I0ezbnaO8c8Ae9Y0fX9ugSMXlN+jwNEp+bEgjU6nFurmX59LydbR8L8kVeCPHM26aT3GmzsUfuU4\n",
       "LSZ9M6VD6qxtQJ2ZB5b+j4iHAT9JEUhfnZnfrrLxiDgPuAw4AXhvZr6jxTpbgP8XOAm4PTO3VC++\n",
       "1Io9ziWpiszcFxENrc/fOwDb34jfn1JPqozy8SLgt4FPlXf9b8D/lZl/3uV5JwBfpZi2/DaKNJEX\n",
       "Z+ahhnU2Ulxf2pqZt0bEpsy8vcW2HOVDPZnOXMbZtXw5fE/jSXoKL4drULP62ZylY3xW95FUVT9x\n",
       "Z5WA+nrgOUut0hHxw8D/yswndHne04E3Z+Z55e03AGTm2xvWeTXwsMx8U5dtGVBLU86TtGYp6GzF\n",
       "Y1yaDXUNmxfAdxpuHy7v6+Y04JaG27cCT2ta59HASRHxSYrOj/8pM/+gwrYl1WzYwYE5mJrePONq\n",
       "JvUYN9CX6lcloL4S2BcRf0wRSP8c8IkKz6vScfEk4Czg2cB64LMR8beZeVPzihFxScPNA4053pKG\n",
       "a3ZGLJDmm59lqbuyP9+WQbbRMaAupx3/HYoOic8o735PZn6kwrZvA85ouH0GRSt1o1soOiLeBdwV\n",
       "EZ8GngisCqgz85IKrylNjcluNZrtlkSNix2GR6/zZ3myv4ek0SgbaQ8s3Y6IN/e6jSot1B/PzMcD\n",
       "f9Hjtr8APDoiHgF8g6Jl+8VN63wU+M9lB8a1FCkhu3t8HWnq2GqkebR6RAnHMx6NLwEvLP9/5AP3\n",
       "+j0kDU/HgDozMyIORsRTM/PqXjacmfdFxEUUv4JPAN6XmYci4pXl4+/JzK9ExJXA9cBx4PLMdFpz\n",
       "zYFJbwG2JVH1mNQ849l15ABcfg7sKW9vB44eKP6f9O8haXpUaaE+G7gwIv4R+EF5X3Yb5aNc6RM0\n",
       "5Vtn5nuabr8TeGe14koaBVsSpVmxsKW48LuNIk5+LHDjjog4CAtjLZk0S6oE1FvLv40zJUoayOS3\n",
       "ANuSOBhzUzVZ9lEE1e8AWITtH4Ejb5307yFpWnQdhxogIp4CbKZIy/hMZl5Td8GaXt9xqDVzDLhm\n",
       "16yPt6zpsXwsPnYdvIrl9I69wI6rih/3fg9JjWoZhzoi3gT8LPBhitbp90fEhzLzLf0VU5Jmnbmp\n",
       "mgzL6Vs3/hGw2OpxPC6lgVVJ+bgQeEJm3g0QEb8FXAcYUGsuDaNl2d71s6nh2DirGFlBGr8yqH5J\n",
       "keZheodUhyoB9W0UH8C7y9s/xOrxpKW5MLxA2BbMSTGs1JsWx0b5yJkYvMyvSUntsqOxVK8qAfVR\n",
       "4MsRsb+8fQ5wdUT8DsVoH9vbP1WaNbMVCE/KyX5chnulYNWxAew4DFzTLniZ9/qfdZN2Jcr0Dqk+\n",
       "VQLqj5QLFCN9HCj/BtWmF5fmQm/B0fhH+Zi0k/141P4D6ZrMw+e2esD6nwez9QNcUntdA+rM/MAI\n",
       "yiFNidaBcK/B0WRcfvVkP1y9/kiaj/qPiIthYUdx68juzLx0vCWSpOGr0kItqdQuEI5Y3N9rcOTl\n",
       "19VGnwIxvCsFk/EjabIUwfSGtxUTiwBsf1tEMD9B9fivREkaDQNqqUezEwhP1sl+HCkQZRD8VthR\n",
       "tqAe3d34er0G+L0dG5NV//VY2LE8S9+SHTuAuQio/ZElzY+uE7tExM9m5p93u69OTuyiSTeuiTwG\n",
       "bdGdpE5xZSv/Oc0TT7TLQR7Oa7bfb6PYp5NU/3WIWLwddi827dPDmYc3jbNc41TnPp/140kalb7i\n",
       "zszsuABfrHJfnUtRzNG9nktP+2YrLOwvFi5u+H/ruMs25rqo/f0Xr7fhTvhAFsuGO6e53ot6+0BC\n",
       "lssHEhb2j+s16y7PqI+X8exTLoYN2XCMJnDxuMtVx36osp06P7Oz9n3g4jLOpZ+4s23KR0Q8Fzgf\n",
       "OC0i9lCM6gHwEODenqJ2zaQWl+jPgZdSjrs7dyMW5MhTQcbfqW24LWLzkAJRmJcRPjLz0oigKaVm\n",
       "YtI9hrUfylzxt8DuNZ23U+dndvzfB9I865RD/Q3gIPD88u9SQH0U+I81l0tTodW4u1cA74Qp/zL3\n",
       "0ml3ww4Kcyz5pp2C+P4D/O7Hz/wEP2UAPTFB9EqD74diX298C1y2Zh72p6TW2gbUmXkdcF1E/FFm\n",
       "2iKtuTFIoLgcSB1fLC7krD3cKSAfLHCvM+CrYvhB4ahb+TsF8f0G+PPS+jwuk/djd2En/Os17R5t\n",
       "Ku+B+q7CzM8VHmkiVcgj2QxcBdwEfK1c/mHSc1lcRrJfmnP2EnZOff5ev7mzq+tjU1kfreuiRf31\n",
       "XGf0kf85jNftt56qlLf/9zT87dZ1/AxrH8za0m0fDbvehvMZXNhffM5PbcwVv7/Ydsvt19bXZFTH\n",
       "uIvLrC/9xJ1VNvpV4LnAqcCmpWXS35jLyPbNSDoljvJE0TogOvlg94Ct1fNe0DbQHEcnvG6v20s9\n",
       "9xqMVFm/nwCnxXPuXt5fxXNHGcBW3a/t6noYx3qd267vuKxyfAz/R9ygdbJc7p0JZydsvJ+y4+W4\n",
       "PuMuLi6DLXUF1J+bxjfmMtT6H1kv+PbPG11r3urXW393EaR1fv1pD6j7D2arBuBVWm77CZhaPef0\n",
       "bLw6MMq6HuR4HU6LaettDOtz1M/nuMpzKv7Qu73Yr1eWn62zE04+WGd9DvL+DKhdXKZzqSugfjvw\n",
       "28DTgbOWlkl/Yy5Dq/shnoR73055orp99MOpNZ4gNx6s3uLYPuWj+aTbqU6a1u3a8t9jK9zFrQOu\n",
       "qqkK/f246j+g3tg2YGr/nLOzuAS/M5fLW/8xtFw/Jx8sjptefzwOXs72P5iGse1+rkqcfLBIgWhM\n",
       "hzj54OrW55MPFvvtBWXA3O6H3vqEhVx5RaJTkL6z3OYLHjge6vzuGKS+XFxcJmOpK6A+AHyyeZn0\n",
       "N+YyrLof1km496C4DPzuL06yq4Os3lITBrmkW70Oll9r48HGtIPyxHp3cxDQqmzL7/uBdRN+rAwS\n",
       "168KHrqdtNs8vipI7/Y+272HHuq+ZSDf4r00vMamlu+58/s/tSEgO7tNUNb2x8sE5OP2eqy1axVd\n",
       "2YpbZ7DeuT5afX7PbrEPWu/31T9oW22vdcpS8b43NQbfCRuP1pHy0n5/TG6ajYuLS+ulloB6EhYD\n",
       "6nHW/WAn4c4n1Y0Hl0+YC7c3tlqV99+/HBis6PBzd3Gy7R64tAtyyoDy9mLpPNHEcAKlVq3cq1te\n",
       "V77vxnWX6m9TLtVT6xb0K5eCyNurBsoNr90cyDe1rJ9ytGjha9zOKUer1/36u+GhNzXv69XPa91S\n",
       "uXrbza39C7cXz7uysY7v7xQ4D7MFse4W4Ao/Tt5f1MEpR+Gke5sCybs7/aBpXze9/ehqXR9LaU+N\n",
       "z1mZCtXuykTrz0PLgLo8pppTs9bftNxC/Yxsatme6ElVqu8TA3YXl2EvtQTUwMOA9wFXlrcfC7x8\n",
       "0t+Yy9DqfqATxcrWssageFPC2ntgwz2tW6UW9q88cTYGimtv6hZwrX79bDj5rr+JHmdvG/Sk1aaF\n",
       "/vbW5W0VMLygKYht3CeNPzx+uDmI6iGVY3XHqtX7f1OuDFiXWxpXB7mNr3tlNgV4HX4EVWopr5Ij\n",
       "fH/3/Tq8VJDW2+rembXKsdb6vTX+uNmZK4/pja2Czv0Vt31nu+C7l++D9p/9xisInWelXE7ZaHz+\n",
       "+vubAudcPm5XBeVHl4+79i3bg39PDjelqId90vWqj4uLS+9LXQH1lcDPAdeXt08C/m7S35jL0Oq+\n",
       "ZQty9eeecnR1UPyohv9btcQuvV7LoaiaWlGX82Rbl6HVie6Ue6oEt8Otx+ZLz0VLc+vyNr/v5iB2\n",
       "KZhYKv/Osm4e3yqgOFglCOoc0LTaR82B0UN/0PQj5c7iPS89t1UrZbdUgdblXV2mnVlebeiab945\n",
       "6O9crmrHe++dWVuVq9pxfHbD7eYfn5tysB+drVO0evk+KNZdf3dRjscnnHw/PPT+VkNrtv+R1Jy+\n",
       "8mNZBMkPpFTdvvzDotUx1vj9U/0Y7H3fV+tnUX17rY7x1t9bdb0nF5d5XvqJOzvNlLhkU2b+aUS8\n",
       "oXyFeyPivgrP05RbnqDisqWJAta3WOdiWCinFT7ywLTC5XM/Ci9bC7/a8IybgT+kaOy6pN1LPwle\n",
       "ugb2Ukwa8m7gK8fh6K/DwpZiet9tDau/9jh8r80EBq0mO1hzH8UPwxH6wcWQH4V3ry1u33kM7rx4\n",
       "9XpHdsHlm+GX1hXv+9DxYoKYb5b1sQO4by18qeE5ZwL3Xwu3ncmq97XmX+TQZyC8maJseyn2417g\n",
       "hPWwm5WTvLyWor5ZV0y82uzYYsTi/qX3nX1NqLKvfP3di8A5xb4+0nISlVYTrsCRtw5rMozV5X7Q\n",
       "Ilx2VreJb/qfCOZGive+9D/lpv8dsAZ4VXnfhZTH24CTfBxb7PZ9sNqJDeXYfi/c8Zvw/i3F7e6T\n",
       "6BTTlm/fDHvWwSOB/wnseQhwVrGvjh2CMxeL57yifK9Ltt8F999UrNvyceDobT1UQEvF/lv/uJXf\n",
       "c9uPDW9SlaVj/DEj/s6S1JMKUfoBYBH4Ynn7bOBTk/5LwWUY9d710vvF7VInVl/uXxp1YX1D6/L6\n",
       "u1ukfDRcyq6aD9xtFIhV+bZty11vfVZLG1ld3lY5xYuN5b9/eb3ureDtX7PSJf67i5SbxqsEG8uW\n",
       "w04tmmvvh4c2lG39PZ1abzvV1coyVb+M374Vvp4c1Oq5672k5DTu8xeWx8Qzsxj5YqlVunV/hR73\n",
       "fYtUgt5aYQdp/W/aJ0tXHVq0xm48uPqqwPLoKi3eW1lfD4z40fbKVPXP69Ln85lZ5Gl3Hsqv98/j\n",
       "0v5c1ZfElA8Xl5qWfuLOKht9CvA3wB3l35uAJ076G3MZRr23PyEWX/in3LO6E1hxgmp/iXplTuly\n",
       "wLV0CfnkjiftdoFfH8dU5U6J415a1+Uzs3kcXlZcYm89IkiXOqk8SkHDfbcXwXTrmeKKdZcC/aU8\n",
       "14UsUkQ6HVtVRgNpF2T1FlAPZx/13+Gxt2EZW3VKbAy4HpXdfmR02Z9t72v3Y7b9D5/+6rv9j7v+\n",
       "fhAtP37KPas71S59X7Xq5Fpl37G1lxS0Po+phmO8VSODnRJdXIa91BJQlxs+CXgc8HjgpGl4Yy5D\n",
       "qfeKrZYrOhk1nKB6G/6s02uuXmf2TiCdA9rmVrbWU7yPum6Wg/jGgHnjis6ArYPelvmgHTuo9Xu8\n",
       "9LPuMD4nVfbHyvprvApQeYz2FgHXhmy3vUHqoMVzO4620+9rdQ6cB+kg3frKVOvtdv5h37msyyPL\n",
       "DO8zZiu0i8sol1oCaookuOcDrwF2lsuOSX9jLkOr+4pDZ539wAlq5XN779A4SFA4rcF2t5Nm0/vq\n",
       "2PFuPGVf6iC2scWEHa1aYNff1D4I7a1ls5d9XsfxMVhqQ3Onu97TBVYfO+vvLup39f4YtJV+Zf11\n",
       "Dzr7qe/uV8b633+0uDLV5vUqXflo12pfz2dscj7zLi6zvvQTd1bplPgx4C6KXlDHK6yvGZJFp6EK\n",
       "Hdi+ei8cvSTLTom9Pbff11yp/85dVba7UHaWOjJgh752FnYW5d62dMeKDmwt6uRSJkT3/fW9i2H7\n",
       "R4GyQ+b2Y3DnRcX/rToetupI2r6DVy/HS7/HVv3KCz9Fx9PDvTwzV3Xou7OvY7TKcd5Yf8sdSjuX\n",
       "jZ7ru/3+H3T/ld9PFT47x/+x7HTZ5RhsLuurj8GDyroZznfFaL5/JA2sQpR+/TT+UnCpdX80pXNU\n",
       "u0Rdf7mGnyNLby3HA8yyV19+7yQsvdbTsOp1dO9taGkUtV7Ob/d6/ZSjzrKPcv93rpNeOhG3mlhm\n",
       "sGN91MeHi4tLsfQTd1bZ6DvH/QE2oJ6shQfyPqt1fhvVybGegLrb5edhzbLniXOal0GO8VH/eGj1\n",
       "eoN1IOzewXHSl2GUuZ867P6DfbZ/aLu4TOrST9xZJeXjb4CPRMQaigFxl15oQ4XnaiYt7ITda5fT\n",
       "E/aubTW+LtSThtH+EmhvqQKD65ym0Ysc+ljR6tUgl9ZzgFSEQZ477tdr3lZdaVd1G/U+WDa87xBJ\n",
       "41UloN5NMfb032WmOdTq0XBPGJ1O2PUEpaML0sd3Uq/PtOR/TmsgODzDOs7nOUCs47ti1I0EkvpW\n",
       "odn708AJ09b07lLr/uhhqLLhXrIcxyVQqg9nN3dpGu3qZtrqZ54vrS/vwwem8x5p2kO342iall7f\n",
       "R5XPyDjqZlb2h4tLv0s/cWeVFuqvAZ+MiE8A9yzH4bm7t9BdsyJ7agme/haWbNNy3Fs9zJ7urbrz\n",
       "3Fo5HVrsw7vaTd1eTe+f91m6OtDuu6LT+t2+Q6psc5hXgmZpf0ijVDWg/hrwoHIJIOsslCZf1RPH\n",
       "8IPO/gP0OtIPej2BzpbJD5ir7/Pp/+HXn+Huwyqf9+Z9Mg3HUZ0G/Q4ZfgA83/tD6lfXgDozLxlB\n",
       "OTTDhhlZfF6ZAAAVuUlEQVR09hug2+oyDuMNUnvZ5/N+tWGYOn3eW+0TOH5ohMWbKMP5kW8ALE2C\n",
       "rgF1RDwG+FXgEQ3rZ2b+VI3lktrqL0D3pDN8nQPm8Qepve3z+bzaMAkj4/xK+brzdXWgxY+LZ0fE\n",
       "r2fD5FjjMa9Xa6TBVEn5+HPgXcB7gfvL+0z5kObcsPI/NT7j/9EDsPYwHJnDqwOrflysgde+JSIO\n",
       "9vb+WwbAB5Znsux9CMjxHxPS9ImyN2P7FYoP91NGVJ52ZcjMjHGWQdNtuTVoT+NJx5SPGeY+nzzu\n",
       "k2VFwLv7nIbx/IF3AzdelXn43N62tSJ15ABseGNTHb8VFraUjxsgS130E3dWCagvAb4DfBg4tnR/\n",
       "Zh7po4x9MaDWMEzLmMgaHvf55Bn+iBTTuX/LHxcfhz1rinteD1wIvL/ngHrldlsF6q89DpeVrzO/\n",
       "P2KkquoKqL9OixSPzHxkT6UbgAG1JKnRLLR2R8TFsPEt8GNr4BnA5QO/h/Yt359tuL1joKBdmnX9\n",
       "xJ1VRvl4RN8l0tSb5hagcbPupDpNf0fjzLw0Ig7CjTvhRmqa3fU4/NKaQcsKfqdJnVQZ5eOFrG6h\n",
       "vgP4UmZ+u5ZSaSJUGXbML9jWHKZPUhXD7rjbolPhAbj8jXDmQKN2+J0mdVYl5eN/AE8HPkkxqcsz\n",
       "gWuARwK/mZm/X3shTfkYi9aXDpcvFc7CJde6dKs7SYOZ1u+fcTRCDOM1e/1Os7FF06yWlA/gJODH\n",
       "M/Nb5YucCvwB8DTg00DtAbUm1fRfcpWaGQhMh2kc3q1TK2+dx92oh6+0NVvzqEpAfcZSMF36dnnf\n",
       "4Yi4p9MTI+I84DLgBOC9mfmONuv9JEWPiRdl5oerFV31c4D//ll308hAYLpM3zjnrRshIoLJP+56\n",
       "+U6zsUXzp0pA/cky7ePPKFI+XggciIiTge+1e1JEnAD8Z+A5wG3A5yPiisw81GK9dwBXltvXhOje\n",
       "AmTQ2M40tp4JDAQ0HpN/3PmdJnVWJaC+CHgBsJmic+Je4C+ySL5+VofnPRW4OTO/DhARHwSeDxxq\n",
       "Wu8/AB8CfrKnkmskOrUA+QXb2fS1nkmqV7tGiKVUj8lW/TvNxhbNnyrD5h2nCHg/1OO2TwNuabh9\n",
       "K0Xe9QMi4jSKIPunKAJqpzSfMgaNmi0GAqpPu0aIIuVjdo47G1s0j9oG1BHxmcx8RkT8M6sD3czM\n",
       "DV22XSU4vgx4Q2ZmFN8opnxIGhsDAdWtVSPELB53NrZo3rQNqDPzGeXfB/e57duAMxpun0HRSt3o\n",
       "KcAHi1iaTcBzI+LezLyieWPlFOhLDmTmgT7LJUltGQhoHDzupPGJiC3AloG2UWEc6kcBt2Xm3RHx\n",
       "LOBM4Pczs22HxPJ5JwJfBZ4NfAO4Gnhxc6fEhvXfD3ys1SgfjkMtSZKkUegn7qwyHemHgfsi4l8B\n",
       "76Foaf7jbk/KzPsoOjTuA24A/jQzD0XEKyPilb0UUtMhIrZGLO4vltg67vJIkiSNQpUW6i9m5pMj\n",
       "4nXAXZn5O0v3jaaItlBPg2mdtUySJKlRXTMl3hMRPw/8AvDTZefBk/opoGbZ5I+jKkmSVIcqKR8v\n",
       "A84G3paZXwMeQTH1uCRJUiWmBWqWdU35WLFyxAJwemZeX1+RWr6uKR8TbpZSPor3sjTRwpGpH75K\n",
       "koal3+/HWTpHaPb1E3dWyaH+FPDTFOkhB4HvAJ/JzP/Yb0F7ZUA9HWYhEB3Gl/4s1IMkNRvk+zFi\n",
       "cT/sPmc5LXAvsOOqzMPn1ldiqT915VA/NDOPRsT/STFc3psj4kv9FVGzbDbGUR0sF3z5hLN76YSz\n",
       "OSJshZE0A+wrI7VTJaA+ISJ+BHgR8MbyPqcIl1ryhCNJqx3ZNUvTq0vNqgTUv0kRDHwmM68uJ3q5\n",
       "qd5iSePil74ktdb/9+MsTq8uNeqpU+K4mEOtURokB9qON5JmmX1ENA/q6pS4Dng58Fge+FVKZubL\n",
       "+iplHwyoNU084UiS34WaXnUF1B8CDgEvAX4DuBA4lJnb+y1orwyoJUmaHl6t0zSrK6C+NjOfFBHX\n",
       "Z+YTIuIk4K8z82mDFLYXBtSSJE2PiAcfhDPPgocDrwC+icPkaVr0E3dWmSnxnvLvHRFxJrAR+OFe\n",
       "CydJkmZf0Tp9wpPgVcDzKEY9Wj3arjMnapZUGeXj8nKGxDcCVwAPBn691lJJkqQptbATdq9pGD4U\n",
       "eO1x+N4DI4I4Zr9mTdeAOjMvL//9FPDIeosjSZJm0LUrg2XH7NdsqdJCLUmSVFHL8aovHmuRpJo5\n",
       "DrUkSRqqdkPmLd9/fBHueRz87tpiHUcB0eSoZZSPSWBALUnSdGsxlF7C8e/DiTfD9y42mNak6Cfu\n",
       "7JjyEREbgfOA08q7bgX2Zeb3+iuiNPmcjECS6rAqbzrg3Rvghh8fZ6mkYWg7bF5E/AJwENhCkQe1\n",
       "Dvgp4JqI2NbuedI0a+h5fk6xbPiIwzlJUnW9DYf3cIoW66VGDGk6dWqhfiPwlObW6Ig4Bbga2Ftn\n",
       "waTxsOe5JPWr83B4zZ0VX08RSnxzTKWVhqfKxC7NJj/pWpIkjVSZLvdH8Nh18DCKhonl1uciqD56\n",
       "Abz2mmJc6gspguntdxXBtjS9OrVQvw04GBH7KXKnAc4AzgXeUnfBpPFoOdyTX/SS1MHqlulttLqQ\n",
       "XfZJ2Ves//4yzeOofVU09TqO8lHOkLiVIskJ4DaKTonfHUHZGsvhKB8aGTslSlJvIhb3F/1OltLl\n",
       "9gLvBm5wODxNnaGP8pGZR4A/GahU0pRZakEZdzkkabrdeBiOvsRgWvPAcaglSdJAWowxbcu0ppYT\n",
       "u0iSpLHoli5nOp2mxdAD6oh4MvAo4MuZeWjA8vXNgFqSpOllC7amST9xZ6eJXd4E/CnwQuDjEfGK\n",
       "AcsnSZLm0sLOIpjeRvNwetIs6NQp8d8BT8rMOyNikaKT1n8dTbEkSZKk6dApoD6WmXcCZObhiOhn\n",
       "EhhJkjT3HONfs61tDnVE3AF8uuGufwv8Vfl/Zubzai5bY1nMoZYkaYrZKVHTYqidEiNiS4fnZWZ+\n",
       "qpcXGoQBtSRJkkbBYfMkSZKkAQx7lI+fiYiLGm5fHRFfK5efHaSgkiRJ0qzo1NHwdcAVDbcfBPwE\n",
       "8Ezgl+sslCRJGr+I2BqxuL9YYuu4yyNNqk6jfDwoM/+/htt/nZmHgcMRcXLN5ZIkSWO0PBnL7qWR\n",
       "OTZHhJOxSC10CqhPabyRmRc13PzheoojSZImw8LOIpjetnTHOtixk2JeCkkNOqV8fK7V7IgR8Srg\n",
       "c/UVSZIkSZoenYbNOxX4b8Ax4Jry7rOAHwJ+JjO/OZIS4igfkiSN2nLKx57GyVhM+dDMG/qweRER\n",
       "wE8BjwMS+HJm/uVApeyDAbUkSaPnZCyaR45DLUmSJA1gqONQS5IkSerOgFqSJE0sx8LWNDDlQ5Ik\n",
       "TSQ7Rmoc+ok7O41DLUmSNEaOha3pYMqHJEmSNABbqCVJ0oQ6sgu2bwYaUz52jbVIUgu151BHxHnA\n",
       "ZcAJwHsz8x1Nj78EeB0QwPeBX87M65vWMYdakqQ55FjYGrWJG4c6Ik4Avgo8B7gN+Dzw4sw81LDO\n",
       "04EbMvOOMvi+JDPPbtqOAbUkSZJqN4njUD8VuDkzv56Z9wIfBJ7fuEJmfjYz7yhvfg44veYySZIk\n",
       "SUNTd0B9GnBLw+1by/vaeTnw8VpLJEmSJA1R3QF15XySiHgW8DLg9fUVR5IkzQonfdGkqHuUj9uA\n",
       "Mxpun0HRSr1CRDwBuBw4LzO/22pDEXFJw80DmXlgeMWUJEnTZHnSl91LI4BsjggnfVHPImILsGWg\n",
       "bdTcKfFEik6Jzwa+AVzN6k6JPwr8JXBhZv5tm+3YKVGSJD0gYnE/7D5nedKXvcCOqzIPnzvOcmn6\n",
       "TdxMiZl5X0RcRDGj0QnA+zLzUES8snz8PcCbgFOAd0UEwL2Z+dQ6yyVJkiQNS+3jUA+DLdSSJKnR\n",
       "csrHnsZJX0z50MAmbhzqYTGgliRJzZz0RXUwoJYkSZIGMIkTu0iSJEkzzYBakiRJGoABtSRJkjQA\n",
       "A2pJkiRpAAbUkiRJ0gAMqCVJkqQBGFBLkiRJAzCgliRJUy0itkYs7i+W2Dru8mj+OLGLJEmaWk5B\n",
       "rmHrJ+48sa7CSJIk1W9hJ+xeB9uW7lgHO3YCBtQaGVM+JEnSXDA1RHUx5UOSJE2tqikfpoaoqn7i\n",
       "TgNqSZI01YpgeWFncevIrlZBcsTifth9znJqyF5gx1WZh88dXUk1DcyhliRJc6cMoFsE0Y2B9vHF\n",
       "ERdLc8SAWpIkzZzlFI/dZYrHq4/B9mPA2uL29rvg6K6xFVAzxYBakiTNoFWjf6yFX7kGdhwubh5t\n",
       "mRoi9cOAWpIkzYm1h82ZVh0MqCVJ0kxo6px4ALZvBhpH9TDFQ7VwlA9JkjT12gyL91ZY2FLcbj36\n",
       "x+ptdB4tRLPPUT4kSdKcajlj4paqKR6rOzFu3xwRjlOtSgyoJUmSnMJcAzCgliRJM+DILnOmNS7m\n",
       "UEuSpJnQSw5087rFX6cml1OPS5IkddWmA+MFxf92Spx3dkqUJEnqqnW+dNmB0SBaPVsz7gJIkiRJ\n",
       "08yUD0mSNFdapHwcg/u/DGsPm+ohc6glSZIqWO6UeHwR7nkc/O7a4hE7I867fuJOUz4kSdLcycx9\n",
       "Rc70msNFML2NYtmzbrljolSNAbUkSZI0AEf5kCRJc8wJYTQ4c6glSdJcWplHfS92ShQ4DrUkSVIl\n",
       "yyN97G5omT7SsjNiLzMwaj4ZUEuSpDnUenIXmiZ2aRF4b44IRwHRCgbUkiRJbVULvDXfDKglSdIc\n",
       "sjOihsdOiZIkaS5VyY1uMauiE7/MOGdKlCRJGjI7Jc4XA2pJkqQJYjA+fQyoJUmSJoTpItPJcagl\n",
       "SZImhiOEzIs14y6AJEnS/Di+GLG4v1hi67hLo+Ew5UOSJKkGLVI+jsF9wO+uLW6/+hg86MvFtOcn\n",
       "AWuc+nwCmEMtSZI0QVZ2Sjy2CP/lrCIFZB/w88BLgb3AO8tnmGc9buZQS5IkTZAyMN4HELG4f/mR\n",
       "3wJ2A1dQBNPmWU+zWnOoI+K8iPhKRNwUEa9vs86e8vHrIuLJdZZHkiRpfI7sKlqg9wJ/P+7CaIhq\n",
       "S/mIiBOArwLPAW4DPg+8ODMPNaxzPnBRZp4fEU8D/lNmnt1iW6Z8SJKkqbecAnLP0+CHNhQt06Z8\n",
       "TJJ+4s46W6ifCtycmV/PzHuBDwLPb1rneRRHEZn5OWBjRJxaY5kkSZLGJjP3ZR4+F/75RXDnMfgM\n",
       "sAl4zXF47TUG09Opzhzq04BbGm7fCjytwjqnA9+qsVySJEljlZn7IuL5cGPZYfEOR/eYYnUG1FVz\n",
       "SZqb1Cd/2BFJkqQBNXZY1HSrM6C+DTij4fYZFC3QndY5vbxvlYi4pOHmgcw8MHgRJUmSNM8iYguw\n",
       "ZaBt1Ngp8USKTonPBr4BXE3nTolnA5fZKVGSJEnjMlHjUGfmfRFxEcWljBOA92XmoYh4Zfn4ezLz\n",
       "4xFxfkTcDPyAYnRzSZIkaWo4U6IkSZJUmrRh8yRJkqSZZ0AtSZIkDcCAWpIkSRqAAbUkSZI0AANq\n",
       "SZIkaQAG1JIkSdIADKglSZKkARhQS5IkSQMwoJYkSZIGYEAtSZIkDcCAWpIkSRqAAbUkSZI0AANq\n",
       "SZIkaQAG1JIkSdIADKglSZKkARhQS5IkSQMwoJYkSZIGYEAtSZIkDcCAWpIkSRqAAbUkSZI0AANq\n",
       "dRURW8Zdhnll3Y+X9T9e1v/4WPfjZf1PHwNqVbFl3AWYY1vGXYA5t2XcBZhzW8ZdgDm2ZdwFmHNb\n",
       "xl0A9caAWpIkSRqAAbUkSZI0gMjMcZehq4iY/EJKkiRpJmRm9LL+VATUkiRJ0qQy5UOSJEkagAG1\n",
       "JEmSNICJDKgjYiEiroqIGyNif0RsbLHOGRHxyYj4ckT8XURsH0dZZ0VEnBcRX4mImyLi9W3W2VM+\n",
       "fl1EPHnUZZxl3eo/Il5S1vv1EfGZiHjCOMo5q6oc/+V6PxkR90XEC0ZZvllW8btnS0R8sfyuPzDi\n",
       "Is60Ct89myLiyoi4tqz/XxxDMWdSRPxeRHwrIr7UYR3PuzXpVv89n3czc+IW4P8BXlf+/3rg7S3W\n",
       "eRjwpPL/BwNfBX583GWfxgU4AbgZeARwEnBtc10C5wMfL/9/GvC34y73rCwV6//pwEPL/8+z/kdb\n",
       "/w3r/SXw34EXjrvcs7BUPPY3Al8GTi9vbxp3uWdlqVj/lwC/tVT3wGHgxHGXfRYW4N8CTwa+1OZx\n",
       "z7vjrf+ezrsT2UINPA/YW/6/F/iZ5hUy85uZeW35/z8Dh4CHj6yEs+WpwM2Z+fXMvBf4IPD8pnUe\n",
       "2CeZ+TlgY0ScOtpizqyu9Z+Zn83MO8qbnwNOH3EZZ1mV4x/gPwAfAr4zysLNuCp1//PAX2TmrQCZ\n",
       "efuIyzjLqtT/PwEbyv83AIcz874RlnFmZeZfAd/tsIrn3Rp1q/9ez7uTGlCfmpnfKv//FtDxAIqI\n",
       "R1D8yvhcvcWaWacBtzTcvrW8r9s6BnXDUaX+G70c+HitJZovXes/Ik6jCDTeVd7l8EjDUeXYfzSw\n",
       "UKb4fSEi/v3ISjf7qtT/5cDjIuIbwHXAa0ZUNnnenSRdz7snjqggq0TEVRRpG83+78YbmZmdxqGO\n",
       "iAdTtBq9pmypVu+qBgfNYzIaVAxH5XqMiGcBLwOeUV9x5k6V+r8MeEP5fRSs/iyoP1Xq/iTgLODZ\n",
       "wHrgsxHxt5l5U60lmw9V6v9i4NrM3BIRjwKuiognZub3ay6bCp53x6zqeXdsAXVmntPusTJJ/GGZ\n",
       "+c2I+BHg223WOwn4C+APM/O/1VTUeXAbcEbD7TMofgl3Wuf08j4Nrkr9U3aIuBw4LzM7XSZUb6rU\n",
       "/1OADxaxNJuA50bEvZl5xWiKOLOq1P0twO2ZeRdwV0R8GngiYEA9uCr1/2+AtwFk5t9HxNeAxwBf\n",
       "GEkJ55vn3THr5bw7qSkfVwDbyv+3AauC5bKV6H3ADZl52QjLNou+ADw6Ih4REQ8Cfo5iHzS6AvgF\n",
       "gIg4G/heQ1qOBtO1/iPiR4EPAxdm5s1jKOMs61r/mfkvM/ORmflIiitiv2wwPRRVvns+CmyOiBMi\n",
       "Yj1F56wbRlzOWVWl/r8CPAegzN99DPAPIy3l/PK8O0a9nnfH1kLdxduBP4uIlwNfB14EEBEPBy7P\n",
       "zP+doun9QuD6iPhi+bxfy8wrx1DeqZaZ90XERcA+il7f78vMQxHxyvLx92TmxyPi/Ii4GfgB8NIx\n",
       "FnmmVKl/4E3AKcC7ylbSezPzqeMq8yypWP+qQcXvnq9ExJXA9cBxinOAAfUQVDz2LwXeHxHXUTTC\n",
       "vS4zj4yt0DMkIv4EeCawKSJuAd5MkeLkeXcEutU/PZ53nXpckiRJGsCkpnxIkiRJU8GAWpIkSRqA\n",
       "AbUkSZI0AANqSZIkaQAG1JIkSdIADKglSZKkARhQS5IkSQMwoJYkSZIG8P8DKtsw7u9NX6kAAAAA\n",
       "SUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1091aaa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m.plot_probs()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The model identifies the branches of the time series, and in particular the non-branched region have ambigous GP assignment. In this region the two trends share information for prediction.\n",
    "\n",
    "Like any GPy model the hyper parameters can be inspected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style type=\"text/css\">\n",
       ".pd{\n",
       "    font-family: \"Courier New\", Courier, monospace !important;\n",
       "    width: 100%;\n",
       "    padding: 3px;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<p class=pd>\n",
       "<b>Model</b>: OMGP<br>\n",
       "<b>Log-likelihood</b>: 1106.26056208<br>\n",
       "<b>Number of Parameters</b>: 5<br>\n",
       "<b>Number of Optimization Parameters</b>: 5<br>\n",
       "<b>Updates</b>: True<br>\n",
       "</p>\n",
       "<style type=\"text/css\">\n",
       ".tg  {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n",
       ".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
       ".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
       ".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n",
       ".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n",
       "</style>\n",
       "<table class=\"tg\">\n",
       "<tr>\n",
       "  <th><b>OMGP.</b></th>\n",
       "  <th><b>Value</b></th>\n",
       "  <th><b>Constraint</b></th>\n",
       "  <th><b>Prior</b></th>\n",
       "  <th><b>Tied to</b></th>\n",
       "</tr>\n",
       "<tr><td class=tg-left>variance         </td><td class=tg-right> 0.01</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>rbf_1.variance   </td><td class=tg-right>  1.0</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>rbf_1.lengthscale</td><td class=tg-right>  1.0</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>rbf.variance     </td><td class=tg-right>  1.0</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>rbf.lengthscale  </td><td class=tg-right>  1.0</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<GPclust.OMGP.OMGP at 0x108642490>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We continue by letting the model optimize some more, and also allow it to optimize the hyper parameters. The hyper parameter optimization works best if the mixture parameters have converged or are close to converging."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 200 bound=1588.80940759 grad=197.3883808, beta=0.0 maxiter exceeded\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " :0: FutureWarning:IPython widgets are experimental and may change in the future.\n"
     ]
    }
   ],
   "source": [
    "m.optimize(step_length=0.01, maxiter=200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style type=\"text/css\">\n",
       ".pd{\n",
       "    font-family: \"Courier New\", Courier, monospace !important;\n",
       "    width: 100%;\n",
       "    padding: 3px;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<p class=pd>\n",
       "<b>Model</b>: OMGP<br>\n",
       "<b>Log-likelihood</b>: 1588.80940759<br>\n",
       "<b>Number of Parameters</b>: 5<br>\n",
       "<b>Number of Optimization Parameters</b>: 5<br>\n",
       "<b>Updates</b>: True<br>\n",
       "</p>\n",
       "<style type=\"text/css\">\n",
       ".tg  {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n",
       ".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
       ".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
       ".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n",
       ".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n",
       "</style>\n",
       "<table class=\"tg\">\n",
       "<tr>\n",
       "  <th><b>OMGP.</b></th>\n",
       "  <th><b>Value</b></th>\n",
       "  <th><b>Constraint</b></th>\n",
       "  <th><b>Prior</b></th>\n",
       "  <th><b>Tied to</b></th>\n",
       "</tr>\n",
       "<tr><td class=tg-left>variance         </td><td class=tg-right>0.0014606243382</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>rbf_1.variance   </td><td class=tg-right>  1.02213521375</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>rbf_1.lengthscale</td><td class=tg-right> 0.595341949099</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>rbf.variance     </td><td class=tg-right>  1.16851232834</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>rbf.lengthscale  </td><td class=tg-right> 0.448887117217</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<GPclust.OMGP.OMGP at 0x108642490>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAApQAAAFwCAYAAAAG8us1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XecnFX1x/HPmbK9pWwS0ggkoYdqgEAgibRQo0hVijSj\n",
       "CCqiglgAC4oCotSICCgiiiBFCEV+CV0ghBJKgBBCeu+72TIz5/fHMwvDsmV2Z3Z3dvf7fr3mtfPM\n",
       "3Od57oSEPXPuveeauyMiIiIi0l6hru6AiIiIiHRvCihFREREJCMKKEVEREQkIwooRURERCQjCihF\n",
       "REREJCMKKEVEREQkIxkHlGb2ZzNbYWZzmnn/K2b2upm9YWbPmdmumd5TREREpLdqLfZKtvmDmb2f\n",
       "jMH26Og+ZSNDeRswuYX35wMHuvuuwM+BP2bhniIiIiK9VYuxl5kdAYxy99HA14CbOrpDGQeU7v4M\n",
       "sK6F919w9w3JwxeBoZneU0RERKS3ai32Ao4B7ki2fRGoMLOBHdmnzp5DeRbwSCffU0RERKQ3GQIs\n",
       "SjleTAcn9CIdefFUZjYJOBPYv7PuKSIiItJLWaPjDt1ru1MCyuRCnFuAye7+mRStmWlDcREREck6\n",
       "d28cWHW6bMQ5bfwcS4BhKcdDk691mA4PKM1sOHAfcIq7z2uuXS78B+9OzOwyd7+sq/vRnejPrG30\n",
       "59V2+jNrG/15tZ3+zNomlxJW0d3PaPe59a/d1tZTHgTOA+42s32B9e6+ot0dSEPGAaWZ/R2YAPQ3\n",
       "s0XApUAUwN2nAT8F+gA3mRlAvbvvnel9RURERLoLC4Wzd61WYi93f8TMjjCzeUAV0P5oNk0ZB5Tu\n",
       "fnIr758NnJ3pfURERES6q2wGlK3FXsk252XthmnotEU5knUzu7oD3dDMru5ANzOzqzvQDc3s6g50\n",
       "MzO7ugPd0Myu7oC0TzYDylxk7l0/vcDMXHMoRUREJJtyJb4wMy/Y+9x2n1/z0o05v9ZEGUoRERGR\n",
       "DtbTM5QKKEVEREQ6mIUVUIqIiIhIBkI9PEPZ2VsvioiIiEgPowyliIiISAfTHEoRERERyYgCShER\n",
       "ERHJiIV69izDnv3pRERERKTDKUMpIiIi0sE05C0iIiIiGVFAKSIiIiIZUUApIiIiIhnp6TvlaFGO\n",
       "iIiIiGREGUoRERGRDqYhbxERERHJiAJKEREREclIqIcHlJpDKSIiIiIZUYZSREREpINpyFtERERE\n",
       "MqKAUkREREQy0tMDSs2hFBERyVERs2H9Le/afpb3KzPr09X9EWmOMpQiIiI5KM9CI0ZQ9MQB9BsV\n",
       "x5nB6slmNtHdN3R136TtlKEUERGRTldB9JIJ9BuVT4giwuxH393LiZza1f2S9rFQuN2P7kABpYiI\n",
       "SA5ySHjKcQLHIdZlHZKMWDjc7keT1zObbGZzzex9M7uoiff7mNm/zex1M3vRzHbuyM+ngFJERCQH\n",
       "rabu8hmsnruZGOup53nWzdpI7K9d3S/pemYWBq4HJgM7ASeb2Y6Nml0CzHb33YDTgN93ZJ80h1JE\n",
       "RCQHufsyM5u4kZVTE7BlPfU3uXtVV/dL2ifLQ9d7A/PcfQGAmd0NTAHeSWmzI/BrAHd/18xGmFml\n",
       "u6/KZkcaKKAUERHJUe6+AvhZV/dDMpflgHIIsCjleDGwT6M2rwPHAs+a2d7A1sBQQAGliIhIb2Nm\n",
       "IcDd3VttLDmrLQHllqVvUbPsrZaapPN34dfA783sVWAO8CoQT7sTbaSAUkREJIdtDZUfwWZAw929\n",
       "ROHgnSkc/Mkamg2z72ncZAkwLOV4GEGW8mPuvgk4s+HYzD4E5me7rw20KEdERCRHmVnejqCC5j1A\n",
       "KGTtfjRhFjA6OS8yDzgReDC1gZmVJ9/DzM4BnnL3zR31+ZShFBERyTH9Le87fck7Z3uK8hZQ9zrE\n",
       "Tu/qPklmrOnAsF3cPWZm5wGPAWHgVnd/x8ymJt+fRrD6+3Yzc+BN4KysdaAJCihFRERySJ6Fdv8c\n",
       "FT/amdL+ToyN1A5bxoZvA1d0dd+k/cyyF1ACuPt0YHqj16alPH8B2D6rN22BAkoREZEcUkR432EU\n",
       "9o+ToAgnj/z8PEJ7dHW/JDPNDF33GJpDKSIikkOqiT+/gKqVRoIoxmpqttSRmNXV/RJpiTKUIiIi\n",
       "OaTOE2/0s8hv49SeXUAotJ66WRuIXd/V/ZLMZHMOZS5SQCkiIpJDzCx8KNz/U+J3FQAPQlGLFQml\n",
       "W1BAKSIiIp1mAJTuD17Q1R2RrApleVFOrsloDqWZ/dnMVpjZnBba/MHM3jez181Mk4pFRESaYWah\n",
       "MdBvPNR0dV9E2iLTDOVtwHXAX5p608yOAEa5+2gz2we4Cdg3w3uKiIj0SCVQsj9YOfg1MGIBoT3y\n",
       "ScwDlnV13yQzPX3IO6MMpbs/A6xrockxwB3Jti8CFWY2MJN7ioiI9ERmZntB/32h5gLCJ6yk9L7R\n",
       "9L8eSu/qQ+Tcru6fZMZC1u5Hd9DRZYOGAItSjhcDQzv4niIiIt1R8d4QHgCJWqJnj6FsYF+i7EBp\n",
       "377kdeguJ9Lxsrz1Ys7pjDqUjf8kvBPuKSIi0m2YmY2D/vsn505GCH1qSloEi1i2t1oRyaKOXuW9\n",
       "BBiWcjw0+dpnmNllKYcz3X1mx3VLREQkpxTtDdGhUAdQQ/1Lq6gbUUle/nrq6ldT94q7KyHTCjOb\n",
       "CEzs4m40yXr4VjIdHVA+CJwH3G1m+wLr3X1FUw3d/bIO7ouIiEhOGgv9J6Ws7L6O+osvYN2it7Hd\n",
       "6knMX0P8R13Zv+4imYya2XBsZpd2WWca6ekJ5owCSjP7OzAB6G9mi4BLgSgEG5S7+yNmdoSZzQOq\n",
       "gDMy7bCIiEhPYmZF50Le0OD3JAD5wI3EboCgsPkcSHRZByUrustcyPbKKKB095PTaHNeJvcQERHp\n",
       "ycZC5USobe79w+CKSfDsK2bT9nJvtp1IV+rhI/oiIiK5y8yK94H8bSHWTJPd8+H4EvgFUNSZfZPs\n",
       "6ullg7T1ooiISBcZC/0PbHlXnPMBauGW/d1bqvssOa67BIbtpQyliIhIF0gjO7kdMNmh9iW4vjP7\n",
       "JtkXMmv3oztQQCkiItLJzMzSyE6eB1AL93wXVnZS16SD9PQhbwWUIiIina9oP8hrITs5HPgCEFsA\n",
       "t3Ret0TaR3MoRUREOlFDdnJSy9nJbwBh4J/vwdJO6pp0oO6SaWwvBZQiIiKdq2i/RnUnGxkAnESw\n",
       "VfENndct6UiqQykiIiJZkdyzu7KV7OTXgDzgYWAeKhfUI/T0nXI0h1JERKTzNOzZHW/m/Qrg9OTz\n",
       "6zqpTyIZU4ZSRESkE6SZnTyTICP5FDCnc3omncF6eAqvh388ERGRnFHcSnayGDgr+fwPndQn6SSh\n",
       "kLX70RQzm2xmc83sfTO7qIn3+5vZo2b2mpm9aWZf7dDP15EXFxERkY+zk62t7D6FYMj7ZeB/ndMz\n",
       "6SzZrENpZmGCYveTgZ2Ak81sx0bNzgNedffdgYnA1WbWYSPTCihFREQ6XvH4lrOT+cDU5HPNnZTW\n",
       "7A3Mc/cF7l4P3A1MadRmGVCWfF4GrHH35uqeZkxzKEVERDpQQ3Zy/5azk8cDA4G3gSc7p2fSmbK8\n",
       "ynsIsCjleDGwT6M2twD/Z2ZLgVLghGx2oDEFlCIiIh2oFEqS2cm6ZpqEgW8mnys72UNluQ6lp9Hm\n",
       "EuA1d59oZiOBJ8xsN3fflM2ONFBAKSIi0kHMLDQhWNm9pYVmxxBstfgh8J/O6Zl0trbslLPu/VdZ\n",
       "9/6rLTVZAgxLOR5GkKVMtR/wSwB3/8DMPgS2B2al3ZE2UEApIiLSQQZA2QQIDYBEM01CwLeSz6+n\n",
       "+XbSi/QZvQd9Ru/x8fGH029r3GQWMNrMRhBszXkicHKjNnOBg4HnzGwgQTA5v2N6rIBSRESkQ5hZ\n",
       "+FDoP6Hl7OTRwHYEGad7O6dn0hXCWRzydveYmZ0HPEYwZeJWd3/HzKYm358GXAHcZmavE3xx+YG7\n",
       "r81aJxpRQCkiItIBhkLFJPDy5ue7hYALks9/D9RfQuiANUTOdPBtqf/txfg7W8BIb86c5LBsBpQA\n",
       "7j4dmN7otWkpz1cTfGHpFAooRUREsszMolOg7wFQ1UKzo4HRBHPf/nk5tleMomsPoGyQAy+zbseb\n",
       "2HLcAlhLyyvEpRvIdkCZa1SHUkREJMu2gT6TIF7QfJMQ8N3k82uB+sVEvjyGskGGEcLYmfLhswh/\n",
       "aU5QP1BzK7u5cMja/egOFFCKiIhkkZnl7w0V41vOKk4BRgELgXsADF+7JWVNThX19etJrFwJHVLm\n",
       "RSSbNOQtIiKSRbtA34OgvoUmYT49dzIGcAaxa/7E2rHbUbJbDI+/x6YXqvG/untzu+tIN9JdMo3t\n",
       "pYBSREQkS8ys4Awo3RM2t9DsC8BI4CPgXw0vjoMtg6k77mbW7haG+uEw/y1Y19F9ls4RUUApIiIi\n",
       "6dgTKg+G2haapGYnryWZnWywNcR+Ba88CwV/gE0dufeydK6enqHUHEoREZEsMLOifaFg+5aHu48F\n",
       "tiHYFafZupPPQng+bMh2H0U6ijKUIiIiGTIzGwuVE1vPTn4n+fxaoMm5kS9BwRzY6O7N7f0t3VBP\n",
       "z1AqoBQREclc8XjI37bluZPHASMItr/7d3ONnofIu7A+y/2TLhYO9exBYQWUIiIiGTCz0AQYcAhU\n",
       "t9AswifZyd/RTHZyDuTNhs3u3lKmU7qhnp6h7NnhsoiISAerhPIJEBoALRUfPw4YDnwA3N9co6ch\n",
       "7+1gZxyRbkUZShERkXYys+iR0O/Q9LOT19Ao8KwFboKtayE0Fxa6u7ZZ7IF6eoZSAaWIiEg7bQN9\n",
       "DoFEC1ssAhwPDAPmAQ+mvrEMwj8ievswiveoIu7LqHnazL6krRZ7HgWUIiIi8hlmVnBKsMViSwtx\n",
       "CoALk88/k538OZGv7UmfA8uIRDYCZRQdMZM1pwG3d0inpcuETQGliIiIJJmZAZXbQdnhLZcJAjgD\n",
       "2Ap4k0bZSYB6bOtSIpFaIESYCkJ5EWxU9nst0rG0KEdERCRNZla+FflP70X5G2UUzriOyJktNC8H\n",
       "zk8+vwLwxg0GE7/3bTatqiUoUvkGG5dsIf7P7Pdculo4ZO1+dAfKUIqIiKRpAHl/OIT+40M45RTz\n",
       "Fpum3symh74OS5to/k2CoPI54Kmmrnc5iZfPoepn71J/nEFsI7Grqj3+Rkd+Buka3SUwbC8FlCIi\n",
       "ImkqIDwghFGEE8LoS17fD2Ewnw0oBwFnJZ//srnrLYZwAYn/LKbmBnf/TAZTeo5IDw8oNeQtIiKS\n",
       "ps3Uv7SWLbV5gON8RPXCifBeE02/S7Ag5z/A681dbwYUvACrFUz2fBryFhEREQBKid38ERsGryKy\n",
       "ex2J+mHUX344bGzUbCRwEsFuOFc2d63FEH4J6oGqDuyySKfIOKA0s8kEm9yHgT+5+5WN3u8P3EmQ\n",
       "/o8AV7n77ZneV0REpDOZWeEpUPodYpdCrKWmFxH8TryTYN/uJiWzk8uUnewdukumsb0yCijNLAxc\n",
       "DxwMLAFeNrMH3f2dlGbnAa+6+w+TweW7Znanu7f4r1FERCRXmJntCf3TKBO0B3AkUENQd7JJyk72\n",
       "PgooW7Y3MM/dFwCY2d3AFCA1oFwG7Jp8XgasUTApIiLdTPEBULB96wHgJcmffwJWNNcomZ1cquxk\n",
       "79HTA8pMF+UMARalHC9OvpbqFmBnM1tKMDH52xneU0REpNOYWfggGHgYbGml6URgv1qo/QF5e51D\n",
       "9MYHoKJxo5TsZEv7f4t0K5lmKNP5ZnUJ8Jq7TzSzkcATZrabu2/K8N4iIiIdblvoOxl8QKNtExsx\n",
       "ktnJWRRHd6NiXB0JHmLN4MnUfSE/paGyk71TT89QZhpQLiHY8L7BMIIsZar9SNbgcvcPzOxDYHtg\n",
       "VmojM7ss5XCmu8/MsG8iIiIZSe7X3WdSy/t1QzDda+eNUL+Q8ihAHiEqyR/2KHUVU2A9KDvZ0cxs\n",
       "IkGmOOdkO6BMY1H094CvJA8jwI5Af3dfn9WOpNwgE7OA0WY2gqCo64nAyY3azCVYtPOcmQ0kCCY/\n",
       "s+rN3S/LsC8iIiJZY2Y2FgamsRAnSrCym0cJL4zByIb5ZJuJ1eyeEowqO9mxksmomQ3HZnZpl3Wm\n",
       "kWwGlOksinb3q4Crku2PAr7TUcEkZDiHMrm45jzgMeBt4B/u/o6ZTTWzqclmVwCfM7PXgf8CP3D3\n",
       "tZncV0REpKOVQOlBEN0+yCh+ymoInUP0+u9Q9PSDRF4ChgPvLyJ+7gusfX8B1VWzWb8kTN0NWydr\n",
       "DCk7KVn08aJod68HGhZFN+fLwN9buqCZfcvM+rS3QxnXoXT36cD0Rq9NS3m+Gjg60/uIiIh0FjOL\n",
       "HgkDDmlmIc6PiXx/d/ocPZBQ5LDkYu73YNqF8OYL1Bz+BDUjxsHy42BdwznKTvZuWR7ybmpR9D5N\n",
       "NTSzIuAw4NxWrjmQINM5G/gz8Fhb/q5qpxwREZFGtoN+h0O8vJnFp05o+wqikV1ZTz7OR0S5kfo1\n",
       "1wLjYMu4T5fPYzGEn4c6lJ3stdoSUL4/+3/Me/XFlpq05UvJ0cCzrQ13u/uPzOwnwKHAV4Hrzeyf\n",
       "wK3u/kFrN1FAKSIiksLMiqZC2b4tLMQxEu8YWw4aRVUkAdxHdPVI6t9prv0MKHhZ2clerS0B5Q6f\n",
       "G8cOnxv38fFjt/2hcZN0FkU3OIlWhrsbuHvCzJYT1FCNA32Af5nZf939+y2dm2kdShERkR7DzEIH\n",
       "BAtxWqw5+QtiV+/P2rUh4EXC6xZS+4vzPz0E+bH5EFF2UrLs40XRZpZHsCj6wcaNzKwcOBB4oLUL\n",
       "mtm3zewV4DfAc8Au7v4NYC/g2NbOV4ZSREQkqRLKD4bQ0CA706z+cFB/GABsGEf8gHEpcyUbezLI\n",
       "Ti5WdrJ3C1v25lC6e8zMGhZFhwmGpd9pWBCdspblCwRzIVsryg/QFzjW3T9qdK+EmbW6FkYBpYiI\n",
       "CGBm+cdB/4Na314xCvw0+fxqWggm50De81Dt7spO9nKhLAaU0Pqi6OTxHcAdaV5yZONg0sz+6u6n\n",
       "uvvbrZ2sIW8RERFgDFQeCfUFLbT5OpGLHg7KBG27EdbQyi/rmRCdA6uz2U/pnsLW/kcn2Tn1wMwi\n",
       "BMPdaVFAKSIivV6ZWennoXBMMNexSRcSOmpHis86hPgAgEcozr+Y0P7NtZ8N+S/AJnev6Yg+S/cS\n",
       "Clm7Hx3JzC4xs03AGDPb1PAAVtLEvMzmKKAUEZFezcyiB8LAY1pZNLOB8PjJ1Bfn4SwlnyrKSta1\n",
       "EFA+CdH3QBt5SE5z9yvcvRS4yt1LUx593f3idK+jOZQiItKr7QSVLdWcbHAAsYWjqScBvEI5y6nZ\n",
       "WE7if021fTZYiLPO3ZvNeErvks1FOdlkZju4+1zgHjPbs/H77j47nesooBQRkV6rzKz0dChpqeZk\n",
       "g9PxiQDPE97wBJtW11H/8M0k/q9xuxpgBoTnQ4ftmyzdT7YX5WTRhcA5BAvMmvpSNSmdiyigFBGR\n",
       "Xim5veLAL7a+qhuCrev2B9aNJT5+L7asz2+m4TNQ+AqsTe6xLAJ06uKaNnH3c5I/J2ZyHQWUIiLS\n",
       "K7U21P0z2HETlH8Z5u6RUiYompJ5/C02+j0iXze8+khiV0+EDTPAFis7Kd2EmX2JFqZ7uPt96VxH\n",
       "AaWIiPQ6rQ11f43oVcMoPnIrwsUrWb8W4pXAe8BfG9r8GttxOYW3T6RiaD3Ow6zdeyG1p7wGH7l7\n",
       "i4XRpffp6NXaGTialucPK6AUERFpzMyik2FAU0PdyyB8Jew3mKIjR1FcVkKMg4NgkpuI1LyG/fwC\n",
       "6i/dAermEzl3IhVDDSMfYwxluzzB6oNX4r/r/E8luS5X51C6+1ezcR0FlCIi0qvsBJVHQaLxUPc0\n",
       "GPIK+X8eSP6wjcTKFlHNqVQTBt6jgAr67fo54rtczZq+t1A/FahPEOx7B7CFeGIDrHL3RGd/Jsl9\n",
       "uTqH0sxOcfc7zexCgn8TlvrT3a9J5zoKKEVEpNdoaaj7FaJXjqffLlGC3/xxVrMVtVQDb1IBQAnh\n",
       "UDHR7aGefan/zXOs2Wt3KkbVEk/8j02zqvC7O/UDiWSuOPmzlE9/yTJaKaWVSgGliIj0Ci0NdU8l\n",
       "cnkB0XFvsokoxh4UcVRy05wHiKyHcBBR4tQSrwU4E5aXUPvFp1h97GY8tpDETao7Kc3J4SHvacmf\n",
       "l2VyHQWUIiLSKzQ31H0hoaNGUnbyMAoLAJZSwzasoxTHYdZrJKbVse4ng8ivXErNigrqf9Vw7gmw\n",
       "djfid1wNCXdf19mfSbqPcO4uygHAzEYC1wLjCP6NPA9c4O7z0zlfAaWIiPR4pWZlZ0Hxvk1kJzcT\n",
       "2nNXChqG/dgBYw9qcYgbXHQlibkPUP38K1QPPQQWHQUbUs+fDvmzYWFnfA7pvnI1Q5niLuB64Njk\n",
       "8YnA34F90jlZe3mLiEiPZmb5B7WwV3c/EjMWUr0OwHD2Yl08BBj8EZgLMAXW/wzebBxMPgsFz8F6\n",
       "d6/p6M8h0sEK3f2v7l6ffNwJFKR7sgJKERHpscwsNBYGnQB1zRUwv4LEMyvYdN3zrHmzmJXLBhEP\n",
       "A0uBFle31gBPQOhD0FC3tCps7X90JDPra2b9gOlm9kMzG5F8XARMT/c6GvIWEZEeawj0PQoi28OW\n",
       "ltpdT3waxO8Hnk6+9COayWg2eByKXobV2mJR0pHDQ96z+fSXra8lfzas8r44nYsooBQRkR7JzIrP\n",
       "gL5HNrMbThMuBUqAx5OPZq2E0JMQXwkbM+2n9A65uijH3Udk4zoKKEVEpMcxs8hkGHR8K1nGFBOA\n",
       "KQSZzB+31vgRKHoOlqqIuaQrR+PJTzGzXYCdSJk76e5/SedcBZQiItKjmJntBAOOgsQASCfgKwR+\n",
       "nXx+DbCkpcZzIO952OLu6WY+RXKemV1G8MVqZ+Bh4HDgWSCtgFKLckREpEcZAOVHBiWCatM85RJg\n",
       "OPAWwcruFj0JebNhVSZ9lN4nbNbuRyc5DjgYWObuZwC7QXKLqDQoQykiIj2GmRWcCAOmpD9vcl/g\n",
       "TCAGXJD82SyVCZL2yuFFOQ22uHvczGJmVg6sBIale7ICShER6RHMLHwAbPUlqEmzeF4hn5QG+gNB\n",
       "hrJZKWWC1mbST+mdwrk/JvyymfUBbgFmEWwC8Hy6JyugFBGRHmEb6HcEhLZNf6j7h8DWq2Hd5YSj\n",
       "pxEvGBvEjU1KKRPUYhZTpDty93OTT282s0eBMnd/I93zcz9eFhERaUWpWdmRUHFIK/UmU+wDnBUH\n",
       "XqSyz25Unj+NvLvnQbSpxioTJJkKmbX70RQzm2xmc83s/WQR8qbaTDSzV83sTTOb2VL/LPAlM/sd\n",
       "8C1gZJs+X1sai4iI5BozKzgSBp2U/rzJj4e636aEjeRRTJgdKd3jZhjb1AnJMkErVSZI2iubi3LM\n",
       "LEyw7/ZkgjI/J5vZjo3aVAA3AEe7+y4Ei25aciMwFXgDeBOYamY3pvv5NOQtIiLdlplFJrVt3iQE\n",
       "O3+MWAmb3qK0tOHFBB4PNbEoZzbk/x9sdveqrHRaeqUsL8rZG5jn7gsAzOxugjqq76S0+TJwr7sv\n",
       "BnD31a1ccxKwU8OXJjO7HXg73Q4pQykiIt2SmdkYGPQlYNtWVmen2Bs4C4jPhQufZ/3CauKsoS7+\n",
       "Lptf/EGwGOFjNcDDEHkbWvtlLNKZhgCLUo4XJ19LNRroa2YzzGyWmZ3ayjXnEZTPajA8+VpalKEU\n",
       "EZFuaQj0OxoK9w1Wo6ajAPgdwR7FfzgQHn6HLa/Nov64CL7qJ8T/2b9RIfTHoej5YCFOXbb7L71L\n",
       "lld5e+tNiAJ7AgcBRcALZvY/d38/tZGZPZR8Wgq8Y2YvJa+/N/Byuh1SQCkiIt1OhVnJ8dDvWNiU\n",
       "7jkL4MYRMGI1bJwBdx0PTIUlEPt9U+3nQ+QJiK2CDVnqtvRibRnyfvn5Z5j1wrMtNVnCp2tEDiPI\n",
       "UqZaRPBlaAuwxcyeJihW/n6jdlc3Om4IVo30AtegsXvabTuMmbm753zFTxER6Xpmlj8Fhn8LqsvT\n",
       "/IX3MPaNI/AfOzCd/jzEpnePp/aYg1pYyHMDlNwGi9093f3AJcfkSnxhZv7G0vXtPn/XwRWkfg4z\n",
       "iwDvEmQflwIvASe7+zspbXYgWLhzGJAPvAic6O7Nzos0s0EEC9MceMndV6bbR82hFBGRbsPMwuNg\n",
       "qxOgLt1gEigbj19owNuUspF8dqR0u4ewcc2dkNwRZ6OCSclFyVqo5wGPESyc+Ye7v2NmU81sarLN\n",
       "XOBRglXbLwK3tBJMnpBsdzxwAvCSmR2fbp805C0iIt2CmdkoGHAshLZvoQB5E35dDoWrifIWwaLu\n",
       "LcRrC/AmU0YbwB4Fe08LcSSLQmQ3Ueru04HpjV6b1uj4KuCqNC/5Y2BsQ1bSzCqBJ4F70jlZAaWI\n",
       "iHQLlVDxRSiZlFyEcw028l2il0awvBCxx68j/ucmTjsRmOKw5XpYUkHdtjXEaz9g8xPXN7Pg4FEo\n",
       "ehZWaEccyabc38obA1alHK9JvpaWjANKM5sMXAuEgT+5+5VNtJlIsLIuSjBBdGKm9xURkd6jzKz0\n",
       "OKickpzz+B8o/4D82ybSb2TYjA+9evfvsKHmWuJ3pZy2LfALAIMfTqT+kQdYvU8hrL8eZuc3cZ93\n",
       "Ifok1Gxuw2IfkXSEcj+gfBR4zMzuIggkT6RRBrQlGQWUKZXaDyZYcfSymT3YaFJoQ6X2w9x9sZn1\n",
       "z+SeIiLSu5hZ4XEw6BSoaihe/iTsvj2l2zbsIrKNFZUu8M2H8ElAmUew80cRcD9wz0RgIvxfS/d6\n",
       "EPJnw0LPhRWr0qPkcobSzAy4jmBBzv7Jl6e5+7/TvUamGcqOqNQuIiICgJnlTYbBp0BN6iKcvrBi\n",
       "A/UbB5FfDlDrCeL4upRTfwCMISidcnE693oCCp+DNe7elvmZIj3FI8ktGu9tz8mZrvLuiErtIiIi\n",
       "mFlkHAw+FWJDIZ763k9g7lKq/jXHN66a71WbnmH1a8dQf3ny7QOBbxCccy5pDF+vhNCj4Iuh/bVd\n",
       "RFoQwtr96GjJjPwrZrZ3e6+RaYYym5XaL0s5nOnuMzPsm4iIdDNmVg5sAywaA4UntrCi+ybqf3oz\n",
       "9TevhtIkukV4AAAgAElEQVQfwPxRUA/0A/6QbHIVMDud+z4ARU/BEnePt95aclVyzcbELu5Gk3J5\n",
       "yDtpX+AUM/uIT3afcnffNZ2TMw0os1ap3d0vy7AvIiLSjfWx6KQdrXjaNhQN/sirVhdSc9V4EvfV\n",
       "Av+EyhKIfRFSh7X5elDUOdXvgErgBYI5/q2aAQUzgpqT6W7hKDkqmYya2XBsZpd2WWca6QaLcg5L\n",
       "/kzdKSdtmQ55zwJGm9kIM8sjWBH0YKM2DwDjzSxsZkXAPgRFOEVERD7Wl+iVh1r/0cPJLz7E+mwd\n",
       "Iu/8jyDyTfLumEf54y9T+t+pRK+sbf4SZxGMhq0HvkWjfbmbkhzqVs1J6fWS62H6AV8AjgH6NqyR\n",
       "SUdGAWVHVGoXEZHeqdDChfWeIEqCQjMKCRf8ivC3x1mfibuGSgfsFSoftJ2VHvtjQgc1cfouBIWZ\n",
       "AS7ks5nLJj0ARU/CctWclI5mGTw6pX9mPwVuB/oSZPlvM7OfpHt+xnUoO6BSu4iI9EKrvG7uZmp3\n",
       "GmzRULXH2UD9fAhtXU7k499Vfckrmk9oNCSeTDm1D3ArQamgvxAkMVqloW7pTKHcn0R5CrBrQ5UD\n",
       "M/sV8Drw83RO1k45IiLS5cys8GC49C3WVr3n4ZH1JJaeRv2PHiR0wPte9fntrKSPu/OeVy3blvgT\n",
       "KaeGCOpNDgVeAy5L534a6pbOlvvxJEuAQj5ZBFfAZ9fFNEsBpYiIdCkzyz8ShpwDm4YSuwQ+GX0e\n",
       "T+Kxb7Fpq6WJmikJnAj1fzkP/yDl9O8TlAlaA5wDtDDF8hPJoe4lGuoW+dhG4C0zezx5fAjwkpld\n",
       "R7Da+1stnWy5sBmAmbm7537sLiIiWZUsXD7sTKjfNjWSbOR8It/MJ/+0EiJ5S9jy4UnUnXZQsKPH\n",
       "nx0Si+GcYWkOdT8LBTdC9bvuy7P2QSQn5Up8YWa+aE37d/Mc1q+Ujv4cZvbVlEMnmL758U93v6PF\n",
       "8xVQiohIVzCz6CQYejYktg9qSDbpOhi2krIHdw+VDQCo8QQLfcUjFxGfGIKimRTWPUJ4zWpqXioj\n",
       "8dhFJP6zVaNC6A1WQuhqyH8SPlJ2sufLlfjCzHzx2s3tPn9o35IODygzlWnZIBERkTYzs8gBMPQ0\n",
       "8JaCSYCFsFU/y+vXcFwCfC0ZTC6ikDXWN2+fUMVW/SiYsi19r/sJeX9bBuGmrqVV3dJVQtb+R3eg\n",
       "gFJERDqVmYXHwpBTwMdAXWvtJ8C7H3rVR+4O7uziqxP9oGgVVvOK9fl4tUMpEfpYXng3K9vvN9hn\n",
       "Sgs9q1XdIh1GAaWIiHQaMwvvCYO/AuG90ggmAY6CDQOoOfdJX/V8qa9YNJK6kMOmPxN6ZLnHEgB1\n",
       "nmARNUQcooTCCaww9RorIfSQVnVLFzJr/6Nz+mfHp/Nas+drDqWIiHQGMwuNgcGnQd6kZvbnbsV4\n",
       "h78bhP5BaPpT+JPFFP8mioUAtqWQ96lmPfVvnUztFyd+sh8xN0DJbcGqbmUne5FciS/MzFesb/8c\n",
       "yoEVHT+H0sxedfc9WnutOSobJCIiHc7MwmNgqy9D/iTY0o5LDI/DtDCE3qSEOis7vNpX7T7WSkJl\n",
       "FvwqS7iz0WMxIDwX+kxMBpQPQtHjsFbBpHQly9FClGZ2OHAEMMTM/sAnm/OU0sr85lQa8hYRkQ7V\n",
       "MMx9GuQd0r5gsgK4MwwVy8jnXSunyELsSflWs339moQ77s4bvpndrCzyeeu/w2vk/RZgDuRNh/ol\n",
       "sDa7n0qkbXJ4Uc5S4BWCUYNXUh4PAoelexFlKEVEpMOYWWSPIJiMjG/fMHcU+BMwcg2sf5Y+FQ1b\n",
       "2OVbyKu97tbHfdVeUULjd7HS/ErLC97zcPEGsPsh+nJQIiiRtQ8l0oO4++vA62b2N3dPOyPZmDKU\n",
       "IiLSIcwsMhaGnAXhdgaTAFcB44AVc+Hkmayft8njrPd6XvH1r55HYtrV1J0ex9/rRxSADR5L1BJ7\n",
       "799Q/H9BiaC0Fv+IdCTL4NFJ9jGzJ8zsfTP7MPmYn+7JWpQjIiJZZ2bRcTDkq0C6q7mbcAHwPYJh\n",
       "8i8Ab/4d+j1D5CuGV3+V+J1jk4HqrbDVy+T9Jp9QaS3x9w6m/uf3wQbthtO75Up8YWa+blP7p/D2\n",
       "KS3ujEU57wLfAWaTsjGAu6dVGUEBpYiIZJWZRQ+AoacCe6a5t3YTjgWuAxLAmcAT12Aj3yVyAcBO\n",
       "xK7+Nv5hUycuhvDvITIDFrp7kzvmSO+QK/GFmfn6zdXtPr+ipKgzAsoX3X2f9p6vOZQiIpI1ZpY3\n",
       "CYaclmbR8mbsA1ydfP5T4IkbYNhCCu88NNR3OMDTiTV7TmPL8VNhSeqJNcC/oHAGLFIwKdImM8zs\n",
       "t8B9pHwRdPfZ6ZysgFJERLLCzAoOgcFfhXhr2ym2YCTwZyAPuBW4DWAOka9OCFUMDycX5Owb6rP1\n",
       "04n60yF2RerJ/4Gix2CVu7dnNblIh8n2am0zmwxcS7DN6J/c/cpG708EHgAa5kHe6+6/aOGS+wIO\n",
       "fK7R65PS6Y8CShERyZiZFU8JdsCp3RbS3if7x4TGryJ8bBhfcjmxOyvhLwRlgh4HLmtoF4KNdTgN\n",
       "29/U4hhsSL3WbMh/GGpWwfosfCSRrMpmPGlmYeB64GCCLP3LZvagu7/TqOlT7n5MOtd094mZ9EkB\n",
       "pYiIZKTUrOwUGPRlqB4QzHlMy/cJT6kIlf7sqFBp/2qvT9TGV5wDXgrMAb5JyrVOJfbH2xJrDt4z\n",
       "VLGHA68m1s8+h9itDe+vhNB9EJoDKzwXFgeINBLKbmHzvYF57r4AwMzuBqYAjQPKtG9qZoOAXwJD\n",
       "3H2yme0EjHP3W1s5FVBAKSIi7WRmNhT6fgX6nQqbC9pw7nQoqyJy9sRwWf+QOwcl1oX646UxWBGB\n",
       "04FPrWAYB1sKqDv+jsTqgx338/H/jknO86oB7oKiR2FxJnX0RLqRIcCilOPFBHOPUzmwn5m9TpDF\n",
       "/J67v93CNW8nmGLyo+Tx+8A/CaaetEoBpYiItJmZhbaGyhOg7ERo0ybFPyR8SMwKLst3H0YiwR6J\n",
       "NfT3WjZjPhv/5oGwoqnz9oCaPUj8p/HrD0Bxct5k+5fRinSwtiQon376aZ5++umWmqSThZ8NDHP3\n",
       "6uT2ivcD27XQvr+7/8PMLgZw93ozS3v6igJKERFpk4Z9uY+D/COT+2W3RTXRHxwa6TdiRbyGofHl\n",
       "DCJGDcZNhGZ+i/gLbbnWDCj4N2zWvEnJddaGmRgTDjiACQcc8PHxFb/8ZeMmS4BhKcfDCLKUH3P3\n",
       "TSnPp5vZjWbW192b24Z0s5n1+7i/ZvvSaJ5ySxRQiohI2hoKlp8IofHt25ebAgsX4s5BVLM1MWrA\n",
       "H4Qrv0X8uvw2XOddiN4HiXmwUvMmJedld/fPWcBoMxtBsBf3icDJqQ3MbCDJfxtmtjdB7fGW9rS/\n",
       "EHgI2NbMngcqgePS7ZACShERSYuZFU2GrU6E+Jj2b6XIBq+bNzK+dputvYoYcDuRl75O7Lo2XQPs\n",
       "n5D3goqXSy/k7jEzOw94jKBs0K3u/o6ZTU2+P40gGPxGcti6GjiplWu+YmYTCIbFDXi3LXOStVOO\n",
       "iIi0qtSs/EgYeDJsGZqyLVt71ML38uGCOPjfCT+1M/Gz9kgjQP01tvNi8i7Pt3DeKq9/623qz0sd\n",
       "1hNpLFfiCzPzms0b231+QUlZZ+yUEwGOBEbwScLR3f2adM5XhlJERJqUrHVXtDUUfRXKT2rjSu5m\n",
       "nJ0f7NGdCMM3TiH+mUU2TZkJxSus4KYjIv1H1uIsTMTGrEusXQJcknmXRDpBdoe8O8JDBNNY5tCG\n",
       "8l8NFFCKiMhnDA0XfH3PcMmFZYSKNsRrPhpB3elZCCa/AlyefP594ONg8gGoeJToZRELled5/L9X\n",
       "E/tb6on/hZEjQ8VDYjg1hBgeLswr9UjjHT1EclcOjAi3Yoi779rekxVQiojIp5jZ4AmRih8fnFc2\n",
       "pNhD1Hp88L21K34+0eu+m875z0LRKsg/AtalLLI5E/h58vmlwN0Nb8yD6GOWf9cR0crd8i3Me/Gq\n",
       "cd+JrS+4NqVw+WhY/n6iZl2/UOFW+RamhgTVHl+VlQ8s0hlyP0P5uJkd5u6PtedkBZQiIvIpUdhp\n",
       "21C0f5mHCJkRtQh5Fh7UXOW7WuBXsHMMwhuITOkbLjym0EKhx+Nb3rrQ684aBefwSbHknxDs1f2x\n",
       "u2HbHcIlI/MtDMB24eLSD+KbD8E/CSi/AKu+6TV/WhZbd2rfUDR/fmLLh4u99rwO+PgivdXzwL/N\n",
       "LAQ0LMZxdy9L52QFlCIiAgST8kdB5RGwblGsauke4eJtAFYkauvrPfZmU+eshtBPLe/WMdGy/SJu\n",
       "0bfim8MHRvtEooTYMVRcubZu2T3gYwkKMV8E/K3xNSph02qPbwFKABLu1JGoa3i/BvgLlMwl9ht8\n",
       "8xXEKQVWq1SQdCeW+xnKa4B9gTfd295ZBZQiIr3M8EjB1yvD0S/VeKJuUaz2+xsTsbfNrHASDJoC\n",
       "Nh6W/TxRe8E9tct/VGDhgk2Jutcv8/pfN3WtXxI+dnxev0nDQwVRgEGhPF6LbWJsuIw945vDw4Jg\n",
       "MgF8B7i3qWtMhaXfjFc98AZ2XB/LK3szvnH+KK9vmGvJ3VAyPdiju2FHnnaXLBLpMrkfUC4E3mpP\n",
       "MAkKKEVEepVhkYLTjy7s96vxBeUVcXdu3LhkdJHZEadA6LiUkkA/If4yifgXWrteDNuqwsLRhuNy\n",
       "i1KTiDPS1zIkvokEJELwDVIW4DTlBuovvSK+7m9vw8BD4fXDYSPAfVD8b1i7wl074Uj3lvsB5YfA\n",
       "DDObDjSMEKhskIiIfFZZKDxlfEF5BQRj0Afml42uq9900Nfhofas4t6J2P3P1a8/5bBo/6EGPFO/\n",
       "dt0hic02hERFHOJhOAt4Ip1rXQLvETyAYFvF+6FqCaxpR9dEpG0+TD7ykg8jvT3DAQWUIiK9So0n\n",
       "1m5KxIhaiLp4PdXxuk2D4MP2lgT6Biz6Vbz67H8lll0YdcIXUZs/APYHasJwBvB0e647G/L/CfG3\n",
       "g6FuzZWU7i/HM5Tuflkm52unHBGRHDW6b/lJW1eUfN3dWbB+83UfrNvY5BzEtjCzvjuEC574fF7p\n",
       "dnWJeM17sc0PXxOva3Nx8Ntg4FwYPhbmHQfrgGLgZuDzBNu8nQr8rz19nA+RmyA8Axa3Zes3kcZy\n",
       "Jb4wM69dtajd5+dXDuuMnXK2B77HZ3fK+Xw65ytDKSKSg4aVlYw/aedtfz91rx0GAFz/8tvbDSop\n",
       "+mj55upZ7b2mmRVNgvK94zVfnrulZkgf2HwNLH4VCt6HoimwNr/1y3BxKHpy30jRd/cKF1a+Gata\n",
       "uqm+6oozSJwP7AKsBU4HZrenjysh9DfInxHs0a1gUnqMbrDK+x7gJuBPfLK9qoa8RUS6s7L86Imn\n",
       "7jpqQMPxqWNGbfX4/CUnAG0OKM0svA30OwMqpgQLb2qBuQAXh/O+1idScGbfUCT/h/XVCybHak47\n",
       "FJrdH7sWCIfyvjG5oP9ggF0tsvXg+k3XEcy5+hA4BVjQ1j5CsHT7Lih6AJa4e217riEi7Vbv7je1\n",
       "92QFlCIiOag2Hn/3/bUb6nYb2C8P4L21G2q3xGJz0z3fzIqBMUD1BNh8FDAJNqe2uRkGD4kWfffY\n",
       "kspSgAMSFQNu3rD4qkPjdVObu+4iiJaEIvkAxbEtjKheTjgIJl8BvkqQoWyzGuB2KL0flrl7VXuu\n",
       "IZLTcj9D+ZCZfRO4j+C7IwDunta/aQWUIiI56IN1m278+TOvTZo8cuj4hLs/Pn/JUwvWb749nXPz\n",
       "Q6Eh+5SVTz+kT//tVm+prnp3w7r7JtXWXJraZiPYK+HoDV+MFpU2vFYaChMNhff7eLCrCaOgfmms\n",
       "Zl5e7Yah29SuJgR8gC0eiZ9ABvUh/wolD8DKTe4b23sNkZyWA2tWWvFVgiHu7zV6fZt0TlZAKSKS\n",
       "g9w9YWbHvb5i7WCC/8kvS3e186ii4hu+M2TrMRVho7CsPP+hUOjYa5Yvue27KUPRV8DYI4r77/pu\n",
       "XTVj8ooImTGvfguO17VwaQCuStS+nF9bOxFgDvbGYPxoINauDwrcDiX3wupV7uvaew2RnJfjGUp3\n",
       "H5HJ+RkHlGY2GbgWCAN/cvcrm2k3FngBOMHd78v0viIiPV0ygFySbnszi+4Elf2LigcOCIcJW7Ao\n",
       "dFB+fvGbUJHaNoaV9AtH8oYWV3Bv9RrygMXxOhKJREtzNKPAL/KDeZIOXDYG/1ObP1iKfyQLl69K\n",
       "c1hNRDqGmX2Jzy7C2QDMcfeVrZ0fyvDmYeB6YDKwE3Cyme3YTLsrgUcJCmWKiEiWmFlogFmfKTDi\n",
       "KCjHGP7Kpg0A1HqcJ9asWvOF5CKcBl/CX3ikas3b/SNRTi4fgIUstjFe/9Kx8boLmrlNJfBPgmCy\n",
       "BvgawWrQdrsPiv8FG1S4XHoD80S7H53kTIJ/018h+Hd+C3Ax8LyZndbayZlmKPcG5rn7AgAzuxuY\n",
       "ArzTqN35wL+AsRneT0REUphZ0QEwcBKED4WqS+Fzxw0fUlldH+eeNctxII5/MLbR/MZxsGV5XfVJ\n",
       "161ZeEnYrLg8Hrvz+kTs+WZusyfBL5dBwDLgHODVTPr9IBT9CzZ9CKtUuFx6hRwf8iYYgdjR3VcA\n",
       "mNlA4K/APgQbFPylpZMzDSiHAKmVOhcnb/wxMxtCEGR+niCg1P84REQyZGbR7aDf2VB+FFQnSwFR\n",
       "ARtW1dRVHb7VwAqAunicX7y1ocmFLl+EdV+M1X6/pft4kK34pQW/bF4kyEyuzqTvj0HBv6D6Pe2C\n",
       "I71J7geUwxqCyaSVydfWmFmrc6szDSjT+R/BtcDF7u5mZjQz5G1ml6UcznT3mRn2TUSkxzGz0AAo\n",
       "OxL6Hw7xfRvVjPwhvH/RypWPRMyOGlhYUPLwkqXvj9pcdVk7bpVXBVcXw7EAr0ajGx5zbrk4Vp9R\n",
       "MDkDCu6GurdhuYJJyTYzmwhM7OJuNC33A8oZZvYwwdQWA74EzEyWIFvf2skZbb1oZvsCl7n75OTx\n",
       "D4FE6sIcM5vPJ0Fkf4Ituc5x9wdT2uTE1kgiIrkq+YW8eAIMmAChQ6G6pf23L4edNpv1nez+2kGN\n",
       "6k825Q4Y8BZsszN8eHowv/4WYE83o3bIcGJ9+nHdR/M/OH7j+oNGQbt2sJkBBX+H+tmw1N1bKE4k\n",
       "kh25El+YmdcverPd50eH7dIZWy+GCL5AjidIGD4H3JvuF79MA8oI8C5wELAUeAk42d0bz6FsaH8b\n",
       "8FDjVd658h9cRCQXmVnhWBiwH+QdBlsGQFZTHZcXFhyzVb8+P96rX9+tli1ZtubQ1Wvz86Bss1ld\n",
       "aOT2eYnCIgAeXLl8ZXzF0kNPhVVtvccTUHgX1M4Jyh8pmJROkSvxhZl5bOEb7T4/MnzXDg8oM5XR\n",
       "kLe7x8zsPOAxgrJBt7r7O2Y2Nfn+tCz0UUSkVzKzvF2CLRNLD4ba7aFDdpDJKyk6/5yR2wzho0Ww\n",
       "em1l8rfWc3/Iy1/7lUjk6H5AzBO8U7V51bfbsSL7YSj8B2xJDnPn/LifSIdI5OZffTN7zt33N7PN\n",
       "fHYqo7t7WTrXybgOpbtPB6Y3eq3JQNLdz8j0fiIiPZ2ZRYZAxXHQ51CI7ZnGkHUmBmPFvPYmtmEj\n",
       "DrxeVLh+t+otJx9eWxO94aP5if55+dtuiMU2bVW9+Qf925gdTa7mrlYwKb1ejk4Zdvf9kz9LMrmO\n",
       "dsoREckRZhauDBbc9JsIiUkdlJFs5IiTVq0ZbIDnRVmz7daJu5Yse2Y3iO8B8T22VJ/Llup2XThZ\n",
       "Z3KTVnOLZF+2N5Yxs5HAEnevMbNJwBjgL+7e6oIcUEApItLlzCw8AEoPhf6TwA9oZcFNlhQAlwOn\n",
       "5AOLQ6GF9xQVLli+aOncc6uqf5npxf+RLFquOpMiSVlM0KdsLHMwwW5aL5vZg43XsLRxY5n7gL3M\n",
       "bBQwDXgAuAs4Ip0+KaAUEekiZhYqgZKDoPJAYDxsKc+wVu9qCN0OI0qhZmqwWLIpOwE3AqOBOuBn\n",
       "QxOJ2y5Y32S5yjb7G5TcD+sVTIp8Iss73nTExjKJ5NqYY4Hr3P06M0t7AwMFlCIinczMQqVBCaDK\n",
       "CRCakIVAEuBlKHh4xFZ3HvW5HXdcX1UT++kb7z/xoyWrvpf/SZMQcDbBdmr5wDzgG8Dbmd4bgq14\n",
       "7gkyk2uXwBoFkyIpshtQdsTGMnVm9mXgNODoZKmyaLodymgvbxERaZ6ZVY4euc3Nnz9w/Ix99trj\n",
       "NjOrKDUrmwAjvgkDL4K6Y6A6G8EkwD8G9bt1xxFDxi3eWF1RXlrU/+RJe035RV50v+TbI4F/A5cS\n",
       "BJN3AoeRpWByA9itUHIXrF7svlrBpEiHatPGMgTD3a0NeZ8J7Av80t0/BEYQbL2YFmUoRUQ6wPCh\n",
       "Q/Y5ZNKBj3zn62f3/fyB4/lo4SK+9rXzxuz9+pwvHw5V2QoiG1xdkLfzpL122PfbR08E4PFX32HF\n",
       "6rVFVpA3grr63YHvEQSSy4GLgP9m694rIXQHFD0Cyza6b2r9DJFeqA0ZypkvzuapF2e31GQJMCzl\n",
       "eBhBljLVXsDdQaKR/sDhZlafurHMp7rn/hbwLQAz6wuUNrfQpykKKEVE2sjMbOSoUWcUFRWN2bBh\n",
       "w70fLVjwbOM2O2y/3a/33HWXvp/bfTeWf7SQCuCEww7ZZtbrcyrK0ygDtBGsCkJVENoCoRqwWgjV\n",
       "QigWzgvVh8KhWChkADELh1aURiefu9v2Bas3BSuy9xq1NT9/+Pktl2ysOgvYAaAO7v0QfrERNpZC\n",
       "XiEk+kC8rFFw+5sB/Q6o6df35Fh9/cZx8xZc8dKobaZutc3WB1ZVV8fr5i343UUrVj7V0HY+RO6A\n",
       "vIdhsbu3bzm4SG+QSL+e/8SxuzFx7G4fH//sulsbN5kFjDazEQRzpU8ETk5t4O7bNjxP2VimyWAy\n",
       "2eYp4GiC2PAVYFWyRuUF6fRZAaWISBvtudfn/nr5L375pV3G7Frw1ztu+/IOO+70/bnvvP2XhvfN\n",
       "LHrM5EMKq1atJr5mDZXFxZgZy5cvrxuWDCY3gq2D8P2h0NANu+zw28r+/cqXLFu5svyjlT8rzSus\n",
       "tUi+hcJRPByxUDiKhaKEw2Gf55snWVF4Qn1tbPlo+txSHMmvA8jbvHT+a4s2bB7Qb2CJxxMsuf8J\n",
       "/8bi5flh2CFutvKjkspfPTNw1EueiBd5IlGUiNWSqK8hFq83i9Um8uOx+sJYXf3bJZFx+x464Wfn\n",
       "n358ZVVVDWddcsXnv33O6X0m7b9PkeNc9tvrfzvtnge+MBWWvgJ5d4PNgEXuXttV/z1EugPPYmHz\n",
       "DtpYptzdN5rZ2QTlgi41sznpnqyAUkSkDcysz/d+cPGk/fYfXwDwzfO/PeClF1/8GvAXM8vfHiqO\n",
       "hfJN782btdupe+/2+xtvKZiw3768NufN+lnPPH/vLoUV0T9G84fF84oikUiBrxtc/MdfX3LBzvn5\n",
       "+Wyuqtr5J1feEBmTGPjtpu79v5qFxx9z6P7nHnXgPuXLVq9N/Oymv2031svOjYQiPj5/9PPTX3zn\n",
       "3jVvzTti//fnVfTZVBUFbEu04L43hu957bqSfpsHNvOZPBGn3uOhung8L1q04csnfXFK5aqNtSTi\n",
       "CYb+P3tnHR5Htffx7xlb983uZuOe1FJ3oRRocSh6cdeLl+LOxeVe3O2+hV784lpK3V3SNp7Gk3Xf\n",
       "mTnvH5uUtFSStkDhzud59klnc86ZMwPZ+e5Ps7LcpSVFxOsPQiVwOH7alIz7vp874ief/9v3AWl5\n",
       "qm7dfvX2VlBQ2H9+g8YyLCEkHcDpAO7sntrb/SiCUkFBQaFvdCU//oIoisxgQjLOBHRlAEyA3N7Q\n",
       "8uLst95LckbDqDlzl0j6qPxauS17K8ktULlZIcmxXCKQjPHGIpvVbEp1NtOoVXC7Hc5fRUJ1YbYb\n",
       "jzpu4igTAKTbrcxhI8uLV36/wTnA7G6xBdsNtzXUaNTJqJ0ARCZMc6vJdd/anGHL9nlBDAsBrCyw\n",
       "kGU5EBN4AbyQejzwglZq7gwyDruNCSUSWLhiQ8CbYJL/1NstzbFgNcQ4SwiRlC44Cgr7oA8u7z+I\n",
       "+5GyeC6klC7rKnS+rbeTFUGpoKCgsA/cGRnDS0rLHtUbDNyAgYO+/fGH7+dOmDTplJzcPNU7L7/Y\n",
       "4Vm18tthGnMGqzGwjWoD0642ULWgk0az3CwNo3oHtt2va2D55Mbm1jClFIQQiJKEjg5fKBuW3Y6P\n",
       "J5Ny91gACIajopphEyMrFx5nDntvYEAtFJAigvbdtdlDX/brLH2OadT75Gfu+derRReeelxuq8cX\n",
       "r61pXPzgky8Jw4cMKPD6g9LGzZXfREsnLzXmDPWrQx2WmLfRHvE0UGNG/1jM3xJKhj0xAHEly1tB\n",
       "YRcOcUFJKf0AwAc9jqsAnNLb+eRQ+JsnhFBK6b7S2RUUFBR+dwghjjPOOmfRU8+9UEApxeeffhJ6\n",
       "5L77HhMSSb1FoyswJelP/bXOVVpOndTy6j4/MdbEmss5p/HOvGy3bktVrVfdlriln965WxvlynDj\n",
       "0Kyy9AdOOWJsemVDS2Tlh18vOLe+No2XxSEAkGS4VfX23Ie3pZdVHcg11wQ7zPUITmBE2jnGlL2Y\n",
       "YzhaFWw31ckSqcsc0GQpm/KrTO6ot5GL+Zu5mLeRjXTWyvFgRzDSURMCEFOslwp/FIeKviCE0OSa\n",
       "b/d7Pj94Kn7r6yCEaABcjFTjA03X25RSelGv5iuCUkFBQWH3EEIYg8Fw8stv/fvD3IIiBD0+SNEY\n",
       "nrrrzvkjYrobdbzmoJgcqCyhPRHWONTG6N7GLYs3T4lz8jEkGuUv2l4Xy4tHJhOAlUE8Xp316RUF\n",
       "o7+k5OCXF+6Ih4SVVCatBWPajBkDYvsaL4txhNtrVJGOWjbUVolEsD0cbq8KICUuD20zjcJfikNF\n",
       "XxBCaHLV1/seuAf4oUf/HoLyQ6Q67ZyNrrasADZTSq/tzXzF5a2goKDQA0IID0CtdxYbzXkjNYlQ\n",
       "J3a+hZMAACAASURBVF3882K/y2Q3WQUVopwIRqatB0tMAqkYxn2JycVi01nHn3zUpZOluCnwyusg\n",
       "8QgoIEd5zX/WZw1+3mOw77MU0f5QE/WrV/OaZLzs8DajJUPszRyGU8GQXho3pJfCCSDUVqmKdNSm\n",
       "h9uqYHCVREOtW30AIopbXEHhkKKQUnoqIeRESunbhJB3AfyqJNqeUCyUCgoK/9N0ZdioeK1Fo7Fm\n",
       "mdRmNy/orAwrxnlXqFOXJ4ucRyNe0m/YkKNtaWnCwrlza4r95Jp9CcBdobKENf6mLJlSMtScUU8Y\n",
       "tk/7TGL7ByeH/AViVTUAwGe3i1sl9VWe7CEr+rRQL5GojE0Rn3a90RkQ+h/l4dT6g/KwiHTU8oGm\n",
       "jUK4rVKOeBq8cX9LiFKaOBhrKyjsyqGiLwghNLnii/2ezw8/7vewUC6jlI4khMwHcBVSTRCW9qxn\n",
       "uTcUC6WCgsL/HIQQBoBaa8s1WPJG6LW2XEZjzZQppdB21GmcnfWGPEJoulofExguAeCZ+vnr3loX\n",
       "bM8zCmqf1ZyxT7dvT0RZJEt57xNHnnXsEJZjmW++/mHdsLjxBjXLSz3HLEPnlWaHtTwUDIWN7YmH\n",
       "S43O9sKWLXnZHTU3CFKyQATAONKgv+wivF/T1BFaVlvh3s35qCxhodxxHqtV9ZMi8U3jGPs7PQVs\n",
       "fdhjrNRI17E8p1WHE5+OUjuX9pwfFhPsmnhIvS29rM1cetgBWz5lMYGqn185XZKSIzhO9XPh4Vd9\n",
       "IcZCJNhSYQ42V9gM7rJYqLnCi5TVUom3VPhLQg/xpBwAr3Z1yLkTwGcA9ADu6u1kxUKpoKDwPwEh\n",
       "hAWg1qUVGAVDmk7vLCZaW7aoMqYloo0btZa2KnOGGOdzWF6yq/Q7WcyoLGEh73tkwhFHjFSpBPL9\n",
       "N99sHhLWXKvn1b1yAS+INZ541YyrbysfNFAAgMqqavGxBx57boKQsaMY+iLadvWVV1989qCB/dWx\n",
       "WBwP3XrXtotWr1ynTcZOIgArgsS3lg9KFt94rX5zXUPkw4+++mwMnI/t9nxMxx2XXXfdsf3691dv\n",
       "2rQp9vLT//xqArU/CACeeEi12ULe+Psd95Zp9Xp8Muudjup5i+4brXYuBICWeFhYS6Vex0v2horv\n",
       "/vWgrvjwM4S0Qm2seWMwVrP49ZIjr3m8+/dRbyMXbN4sBJsrEOmo8cYDrQGltqXCweBQ0ReEEJpY\n",
       "8sl+zxdGn/ybWygPFMVCqaCg8JelS0RqdGkFBmvhOL0urQA6R35S7yiMhNoqBTRX6Cxbfk4fRgAX\n",
       "r03otNrdurEXRJunnn/VtZOGDh+uAoBBQ4aOfOKuey6aCNcrvdqIwGZlZ2cK3YdZGW4OHJfRc4jN\n",
       "aSsfNLC/mkYikN7/AFetWV7EJhNFXXGSH1a4+734XQCm4EPPjicJuXKcMWfJnk6XXZA/tF///moA\n",
       "6NevnzqnMH8otgUAAGuCLYOnXzmjRGcwAABOPvs8+6Pr1k6XovLCrVG/dr3GFJHLDu8wGp0HxZwi\n",
       "iwmw+rTDVM5SLQBoMsoNiZZNUwHsEJQaS4aosWSI9uIJ8G9fb/I3rLVpLBm+mK/Jr3TgUVD4c6AI\n",
       "SgUFhb8UXe5sjS6twGgrmqDTOQqgteeKekdhWIyFSLB5k4YseietJBERMhhOcmqMUXZfmdEqPiMz\n",
       "J0fVfejOyGAIz6X3toeEIUq/mfXuB8f+/arLnAAwa/aHHfo4/XJHYQ4AMa8vHpz1LuKzZoH6fGAB\n",
       "RFh+SZM97/FKV0kNAJQDXgC1UO/9fLFYXNrTMScjHPT7E0BqlWRCRDIRF5dEEroqR2GHvmRigOFU\n",
       "6A3emmX69prl9xFOZYeYWFow8ZIXGE741bhfJd/swTPGcCpYcofHLLnDEWjcoPfVrzHp0grCkY5q\n",
       "D6X0oFhLFRT+KP4ELu8DQhGUCgoKf3q6EmvUWluu0ZI/2qB3FpNuSyQAhNoqhdDaLyxOb6NpIAA3\n",
       "r04atL0v+m2K0R8+eO/dU6+65joXIcCHs9/zaGLSV9iN7golY9xK3/Z+DEVivD2vgjAsynXplSuW\n",
       "rL33purbzo8l4loKwqrSjBcv72yZPYGYlg+uW3HSEVF/SWzFIgCAx2ZLLtCYPhds/R/cn/vRWbf9\n",
       "o9nvzrp09Nix1iWLFns9dds/BJMGAJhgz9vw/ccfLNao1WPNdrvqg3ferN3eEX4W5cc3GtNLe20N\n",
       "FONh0l6z/N+OyVeM5DQGRJs2j6+a96qh6PCrH+05juEE0EjnV9GGVecLjiJDrHmjl8aDH+1rfWPG\n",
       "gJgxYwBCbZWCr25VtsFdFg01V3RSSvtcrF1B4ZDgLy4olRhKBQWFPy2EELXK6NRpbdlmnaOQ0aUV\n",
       "iLq0vDjDqZAIe5hwW6Xa2lxhcSciQhZh5TS1PrZPa+QeWBFrHcY4TRezHEcizR0fjxFc3+86pi0W\n",
       "0NRY8OLpfzuzJBKJyJ9++NGyUQnTjRzDUQDYGGx1m4cVvjLz5pvckGR8f8vMYP8FP8dUspwGAB0a\n",
       "bXRxcZlvQZIuPIx1PdTXTPCd9uvfXhRWkUG6OF033JS5U/s0URbJz776MQFIzg6143vL6LOq+5rF\n",
       "3bzmM6eks35rHnhU2o7rn/vK8vzR55y0u/GVP710uJSMj+BVmvn5ky5b1NfriXTU8v6GtYK/cX0s\n",
       "1FzRQSntU5a9wv8mh4q+IITQ+Lz39nu+auLfftMYSkKIGcA0AN2hONsBfEsp9fV2DcVCqaCg8KeC\n",
       "EMKzvEarcxZZ0oecxOudRZIhvTTa7aYNNleouJYKnd3fahwCSly8JtEXa+SeGK52roQfKwEAggsA\n",
       "EEjG+A2q8I1Gizkn6PM3JLi4+PD9Tw6y260AAIvVMva1R/91+ERD9o8A4NXQqdefc7Y78f13iLz6\n",
       "CobW1hgAGJKEqf956HDtaS++Yi/lWM3AFStOefH5F3Mmw3n5fu83JSK37c497kvGeKK2rg5mDmhL\n",
       "Kxy3X/dGbXKF/f6WHclLlMqQEtE9JtIUTr5iDoA5+3MuANDac5Nae27SlFXOe2qWZenSCkKRjupO\n",
       "JcZSQeHAIIScB+AeAN8jJSQB4HAADxNC7qOUvt2bdRRBqaCgcMjTFRep1TuLTWllU7QGdz9Z7yyK\n",
       "CzprAgBigVY21rRZY+2oMfUT43wWw8m23sRGHiAbtNEHb7/v3ikZGRlMS0vLqLvvvKvVav2lD3e6\n",
       "08UTFZcGAEIyxk1rqnXLl15Eg22tBACow4mPeVX7toIS4bSz/2ZnuZRFcvjw4SQ7L3fw4hWbi8fY\n",
       "crcerP1KVMbWqF+7WdDF4wOmNfe2UPnusOSNDHX+9NIs79qvLlKl5VlDlYtqBV59/8Ha657oFpbB\n",
       "zEEqb+2KbI0lwx/zNXmVrHCFQx0qHbIu7zsBDNvVGkkIsQBYBkARlAoKCn9uCCFqtSXTYMkfbTKk\n",
       "l0LvKExq7blhINXez9+wVq1trjC6wl5dDsPI6YI2oRZ2n6ndV3zJqLBRG38kpyA31+fzx6MNrS+O\n",
       "4B3zeo7Jyc8tysjIYADA5XKR/Px8vPHGGx0XX3yRXZZkvPXWWw0FETpvdN38U43RwIUMldMBIG62\n",
       "0I7DjxBfqd/uu/y6622GDeuZDRs2YNSIEQAAj8cDo8nIN/AkF8BBEZTeeIRfK8b5GldRh6lofFDT\n",
       "y8SbvVE4+Yp/NSyZ9d9A/Zp0c/aQzfaSSb12jx0oXZ144r761Xpf7QqT2uTyxAOtPqW1o8Ihy58v\n",
       "hrJPYTCKoFRQUDikIIRwrKDV6tLybelDTuIM6aWS3lkU6XZpRzpq+WTzFm2at95ULEtsBqtKWnQH\n",
       "7tLelY3qyMzbH3hgktPhJADw5KOPzqhfVb0mW2cNdI8JBII7ZR6HgqFg87ot/7pp3frTSTyG0zZu\n",
       "qMqPBt5kKE0DAIkwNT6t+Y3n1Y6q+OINRJXnuvHbb75JO2n6dMyd8xMef/wJZObmY1tDG8KitlPq\n",
       "f6LhZ4P9NJHhzBLLmiXCmmSGMcuEMVMQNVJlkTgKcABhQX75NwFNgNIoAY1CluMSEAHL+S2ECQMI\n",
       "AWhFqhNGC4Cmrp+d6ONDJGv02bUAand9v3bhW2WxkGc8L2jWFUy+cumvJh4kzNlDYkZ3P/jq15i9\n",
       "NcstnErXJiUiQaWto8Ihx6ErKP8BYCUh5Dv84vLOAnAUgAd6u4iSlKOgoPCH05WlrdGlFZg01ky9\n",
       "wd2PGtLLYoLOKgNAIuxhQi1bNLbWbWZHPCJkMazkUGkTQleyy2/BGmvy/x564ol+3cdzf5oT++Sp\n",
       "ly4cl1awpfu9Fcm2ie7y0hmjRo9JW7F0aUf92s1PHRORVxU3bTpdFw+fyYBaAEAi7NZ2neWN9dlD\n",
       "fkgKGrnRkmVrNafndYRr/3HEcdPTvDGKtkAcTZ1hhMU/9KMwiZTQbABQAWBL188KAMHeLrL1h+dO\n",
       "pXrnHYKzzCH6tvvFts1vl0294dF9zzwwxFiIdFYu0nprl8VCzRXtSqkhhUNFXxBCaOz7N/Z7vvrI\n",
       "i37rpBwrgKkAuptvNSKVlOPt9RqKoFRQUPijIIQIvNai06XlW/SuYlbvKknqHYUJIOXSDrVuU6ua\n",
       "t+jTQh36HAI4OHXS0MvuNAfCyljrUD7b8dyR06aqN67fAI1GjY0bN0Zt20PHFRjSdvqArQ15TPWR\n",
       "zswjxKQ4xtd0ojoZPYl013hk+U0rcoZ++1HJsKN1rpzMIFVzUcYgU1bQ7vHkVJYZShsZWWpjqOxl\n",
       "ZcnHypKflSUfJyX9gpjwqcSYXxATEVaWREaWJE4WRU4SRVYWRV5MilSK0zpJNNUbHKDushinNggA\n",
       "tD1eBgAuAOm7/LTsaVtIPWC6xeVaAEuQsmj+is0/vvCVbsCJ5d3HkYpv6/KGnjBBZbD/LiaaSEct\n",
       "37F1nsrfsLZTcYP/b3Oo6AtCCI1++9p+z9dMvUTplKOgoKDQk+7C43pnsdnR/yidwd1PNLhK491l\n",
       "a0JtlYLUWqVJ89abCiSJyeB4ya41/64lYhIG4bSbZ9ykfufNN3HzzJkghKChrkH96H33X1ogY6d2\n",
       "h0f7mzJcvsZzBTFxBAEYAKhNy2/7YujJ8obM8jIwTD8g5WPegSxFOCpXIhb02zn/kBOOnKA3qYBZ\n",
       "rz5f42xovzBHZQhgP2mJh4VNUpKtd5VsM2aXh9iuUIGW9V/bo76as0ARthdPmWVwlezOeqdGSljm\n",
       "AigDUNr1KkKqnEgGgCk9xm8DsBgpcbkEKesmwPA7ZUMRhmfFeIj9vQSl1p6bzLbnJj3VS82eykUm\n",
       "QkgrpTT8e5xbQWGPHLou74OCIigVFBR+Fwghgsrk0lvyRlj0rjLG4CpOaO25ISCVpR2uX6U2tVeb\n",
       "ixJRVQbDib+1S3tvSJIUaaivx9hx45DyxgNZOVnEaLHkoBNgZJHktVUdZQ+2X2SJeIsAQGRYLC8Y\n",
       "i+8HHYMma5YDAECpxCaC8dH9s7TZVg1y7BqEW2vx1gMP3TrFVrAAANaGWwo/Xv/1ObIsxbOCzIs5\n",
       "Bvt+icmwmGA3x0OqSr09RAvHes09Mrib13yWLpPwf8rOuKFAikdp5RevnUgY9jS9o3DXkjsxpOIh\n",
       "awHM7fE+i19EZhmA4V2voq7XeV3jagAssblLa0MdVXmsrUAvhVoTcqh1pc6eu1N/9N8Da/6oqN5Z\n",
       "xOjS8t1dHXc6KKW/+z4UFAAoglJBQUFhf9lhjUwvtToGTFMb0kslU+bAKMOpIMZCpGeWdhZDqIvX\n",
       "JnQ66x9uScoI4Jl/v/7GoLJBAwrGjx8PAGhobKZ+yQxBbH9pUN3qwfZQuwAAUV6D+WWHY86AqQho\n",
       "TI28mFhnDnWus4Y61xe0bN22NlF7wdSpN11U1i9PBQDPfDK3OZ3T7sjcLte5KiHjXgApR3QfkaiM\n",
       "2lhAs5EVkt7Csc2mrPJfWR5joe0zBl14bwErCABA8qaeO7Tys9eO1Tuu+bi3pwFQ1fX6ous9HkA5\n",
       "gNFdr5EA8gDkOUomIE2Wk1FfU3OUEVeYj7jmjr5f2cFB0Fnl9CEnhvWuElXntvk5nErXKsbDAQAg\n",
       "rJBLdGkvEU5joInAGhpuv45S+puHVCj8b0Jl+Y/ewh4hhAwBUABgI6V08/6soQhKBQWFg053bKQl\n",
       "b4S1hzUyDPxSeNwSaDP0o5Sks4L4W2RpHwh5eru/rbP9vsWbmp5d98gsg07iyciKJeT2LfPGaJIp\n",
       "77tHZ8PSwrGNS4onzAXFysLminWZngbPrmuNlC2vPfv4U2mZebkDQ6GQGGlse32EKb3tYOyzLRZU\n",
       "bZJEtt5R0KktGBM07bHbDWEI84sXmmE5ApBfN93uG0kAK7pezyFlxRyQjPqnSWLyfLXBbtJaM9O1\n",
       "1szjARyDlGv8m65X8wGeu88Y0kvjGktmQm12O3VpBfpIR7WXMWV9yhVMLScMCznqGSnWzJUBXPN7\n",
       "701B4Y+EEHI3gHMArATwOCHkYUrpK31eR0nKUVBQOBh0ZWpr9c5is9aeqzO4+4mmzIExhlMh0lHL\n",
       "i63bNJbOOpNbFtkshpNtKl28r4XHa0MeU2PU68rT2RrdWnNo3zP6RqMl01LtLBof1BgnJhlmclFr\n",
       "JXP4hm8xqH4VmK7PylqrO1ljyZntN7tfVouJP0QIh8UEuzUeUm3TmiNS8cROzT4KlG9f/n4+p+dn\n",
       "FR5/abaUiGHrh89s0DvKp1tyhx1Ua3Ay4mO2/vz6D9r+J5ZwvAoqRqYGtbpVY3LasbMBY74YC37c\n",
       "su7LDXpXSa05e8jveh/929erGpf9JzuucX3IucrtO/Zf9f0CyVM14ffci8Jvy6GiLwghNPLff+33\n",
       "fO2J1/1mSTmEkE0AhlNKI4QQG1LZ3cP7uo5ioVRQUNhvukTkGEGlsetdpZXmnCFJo7t/QmvPDcUC\n",
       "rWyweqnO3FFrzotHhAyGkV0qXVxguMSmUGv6Zi58AhVl33DW+pG+F5nby8S2Ka5hJdcfO3SYbcXi\n",
       "RW0rttQ+NFzlWHYg+5cJwcbM8pI2k2tiVKUdLzLcAJUYJ6MqF2LSph+R6akHkIqP5KceDcM552Bg\n",
       "Xj7/zoyZBSMjv7+YTMgiqYsFNVtYPtmRP7LFnDOsV8lKmSNOr25c+eHf1r95/6WU0ojJPfjZAxGT\n",
       "jas+cQfaqm+nYAS1xvBa/qRLlgFA26YfXKw5q4CwHCRZQkQG6VjyH67f1GsHATgCwNEAJgOYwKkN\n",
       "E9KHTKf+li2B1s0/3e8smzx7f/fTV0yZA+PJiL+lceviKE3GAE4AqAwqRvc7GUpBYZ8cujGUcUpp\n",
       "BAAopZ1doUp9RhGUCgoKfabbGlk2aMiHp559wUSzLU31waxZG5uSmr8lwp2yULXI5ooENL/ERf7i\n",
       "0l4Tas7XDij4182XXJHh83nl1595+vARUfYqNcvv9dNWm5V+xd9vujkDACZMnpx9/623XgsPzunr\n",
       "3uOcwK7PHjq002CfEuM1h1GGcQCAy9uISZu+l8ZunQ+VGGcBgFisICechMU6A6ZffDGAVOCgPc1u\n",
       "Qt3v20K6PupXb6GUNLpK2/W5w8PmPbq3d0/GsFNrARxwLGPbph8sAU/zbN3gMwrAsIhWzh1WPe+N\n",
       "K/InXrRcFhO8HIvssKJQWQSVEjwAP4CPul6mli0LfrTkDk9XqdTEmjXQBOBJAH8D8B6AzwD85mLd\n",
       "Xjw+2FG9/F+J9vXXyYygFf31DQi1XfZbn1fhf5dDuPViPiHk8z0cU0rpCb1ZRBGUCgoKvYYQwvE6\n",
       "q96UNdjCM+LhF19z8+Txh01RxWNR5GZlD3rwhuv+0a9V84SbUydMe4iLDFs1l9180y0ZLMfBarMx\n",
       "J5997uAPHn962GR74R6tjaIsEpPZtqNXIAGByWJSwdM7r3dU0HDrs4eM9OhtU+K8ejIljBkAGFnE\n",
       "sG1LAtPWfR7P9DSkIRUHCJHh1lRpjd98UjroKGswamqvrU8/QRK1HMvB4/GirbmlKX+vJRsPHm2x\n",
       "oGqLLLJ1lkyfUDjWb+4q9v5H4W1YP1VddEQBYVOPD03hJFd41XvnA1huyR/ZElj5uSdaNT+N0Zgg\n",
       "BVsBWdy4yxJ+z/aNsRBnhUqlhtFghkFnkBmO784cvxfAOwBeBdD+W1yDLCaw5bt/XSVRMpaRE2v1\n",
       "Ws0znHlQg69uVZwQwlBKD93sCQWFLggh0wD8E6nPrdcopY/u8vsTAdwPQO563UwpnbObpU7c5fjJ\n",
       "Hv/u9RdXRVAqKCjslS5rpFqXVmC2l0zSGzMHyXpHUcy39l2LUadXddbWYN5XnyPs9cAsCEOcVCWZ\n",
       "BM2eXdhk5wQRjmUY0l2bZw9wDEfrqqrqvB5PpsVqRXNjo9xU11C5N1EXFnT8+pwhY3w66xFxXjWJ\n",
       "EmZHDnWav6Xx+BUftQ2pW5HLS0kLAFAgFuPVXzabMz7Y6u63FQAGR/A+qkIIRAI5N8+YeZfNZtO1\n",
       "NDY35fnZ+6Dp7R3cP4LJGLclERFqdNZwMn+UV2/PTfZlfjLiY3it+aALI4Zh/HIinATSeACgYgKU\n",
       "0hAA6B2FcV4Q7k7GAzNBZSONBZosGaXX7roGjfqqaTKSFwfQFqyiTfULfyybev1XAM5GSlReDeAS\n",
       "AB8AeAmpckQHjYrv/nk9NRddzRrcWionEK5fmFk09KQTtdYsc8e2+RpCSAultE/3W0FhnxzELG+S\n",
       "arv6HFKhJI0AlhNCPtslQ/sHSul/u8YPBPAJgMJd16KUzj0oe1KSchQUFHZHd09tvbPYpncWcXpX\n",
       "iUhYjkqtVRqrt8GoCXtsluKsF/JLSnJGjBqNopJSdLS20qcevHfxhKT173tad1Wkpcw6pOyJC674\n",
       "e7rP66HPPvrwuvKQcJmRV+/1Ad4RC6q36MVb9GajK+jx1Q6K657adU6S5Zm1OUOHdhgdR8d59RE9\n",
       "RSSfjFdN3vjd1ikbvnEYo/4h3UXIJcLUhtSG9yvc/b/w6m29TvTxJCKqjfCdQTjOaI/QD0v1zhYA\n",
       "WOfd7m6Xotlu3lBVZnL12cIWFhNsTSKsquTViUDu8E5jxoA+tQ9sWv1pRizcOlttddsT/rYOltFc\n",
       "mTXqrA193ceeSEZ8zLafX3tblTNqPOHUfKxm0UZH7uAz7CWTfN1jop4GPtC0yWgrGu/hVLpfPWR8\n",
       "9au1jRu+f5iwajcV4/XZw064o0eh9SFICcppAAhSFpIvATwPYN3BuIYNXz31AZs1bmz3seyp9Bl4\n",
       "6fjssedVB5srVO0VcxhP5aIWpRj6n59DRV8QQmh49kP7PV935u07JeUQQsYAuIdSOq3r+FYAoJQ+\n",
       "sofzjwHwNKV09G5+dxKATErpc13HywCkdf16JqX0g97sURGUCgp/QQghaqQ+EPpsaSGEaLS2XKPW\n",
       "nmM0pJfJvN4mSb4mla2z3pguxoV08ksf7Q3BlgxamjVr5l33Grvnv/XS8838ssrpVkG7xyDDdZHW\n",
       "fI+anEYl2Vcu69+yqvT7FZBYFWy3tFjZm4g1z+k39YsmDO5+lOWs3b9nJXFrfsuWhWcs/j+127d9\n",
       "MkOpCwAoICY4YU6nPu2j9dmDl9M+xqCHkjFugyH+ys0zbyo3Go3k+edf2O5fV3NNTMePKJ8w6tLh\n",
       "I0ak/fTTT801y9c9NlJw/tybNWNSkqmJh9TbOFXCkzXIY8wYEGU41b4n7kL1gpdXFJ1+azrD8aCy\n",
       "jMoPH23KHX3xiD4vtBfEeJjUzHttHKVU4yidtPBgZGlX/vjcKDERzTM6C392Dz25GamaeFcBOAWp\n",
       "0FUAmA/gGQCLDuRc67945P/Y7ImTU0YeQGpZ05yWnjvVOWBqJ5DqHd+28Tudt2Z5RzzQ6qGHwoNS\n",
       "Yb84VPQFIYSG3n1gv+frz7prV0F5KoCplNJLu47PATCKUrpT2asusfgwUu1Vj6KU/iq0iBCyCMCZ\n",
       "lNL6ruM1SHXE0gF4i1J6eG/2eMAu71748M8GMBOpb5pBAFdSSg/Kt0wFBYVfU1JWdtwpp5/x5NBh\n",
       "wy3z5v7U6nS6/tba2rJXCxUhhGUFrU7nKLS6h00XVMZ0yopxYmmvtjq2bxAyGEZ2CNqEWtDuJBwG\n",
       "GFyNqyLROkoxsNtp7fN4k3ksv1cRO0jrrAbwKPYjl9CXjAociFzjKs5uK+z/kjZniL01+MvpHAYe\n",
       "E/ON0H73TqTom08S9kTs/B7WyIawSv/xR2mZ25oyHacThpwjd7SR4WpXn7LFVwSbxv79xpsH5ubk\n",
       "EAC47baZmddcdd0Vzgx3ycWXXZoGAOVDBqffPvPWS9CKvQrKmJRk6uJh1VaGlTpyhraassoj5v0Q\n",
       "kgAQD3awKnOaneFS+oswDAST036w3d+cSkeLjrxuwcFab9OXjz0Ma+EpjM2i87Zv3h79+dWrCyZd\n",
       "ugLATQAel8XEVYTlzySETAAwAcBPAB4CsGl/zmeyZ9/t377oDWLKy0HcH2ASgfe6xSSQKoaeOfLM\n",
       "oMrgsHZsndftAlcKniv8bszbVIP5m/Ya6dGrLzmU0k8BfNr1t/NvACW7GSZ0i8kuFlBKOwF0EkJ0\n",
       "vd3zAQnKXvrwqwFMpJT6u8TnK0h1VVBQUDjIEELIcSee9NiLr75RDAAXXXp52lmnTX8RqYfw7sar\n",
       "tbZck61ogkFjzWIZXg27t9GQFlirygahdmHnDO3dITZ3vvDi04/fOf6ww90b1q3p6KxtmF3C2n8l\n",
       "XlZFWsqSdsPlLMMQuSPw3ki1c0lfro3KEhaoYw+ahk4c18Y4NCHGKABAMJiEScMhTxfFOJUfI+s3\n",
       "IH7fZ5Db27QABlBAjHPCjx69/aP1WeXL10Y6shzDS158+sZr0wmA5196rXjNgtU3DNa6Knq9GQKy\n",
       "c9wnAQEhBpNpp2Lhep2OB3bvNU3IImmIh9RbCCO3u8vaDfmjwpb9FJLdUDlJEiGfJCWiPCtoIItJ\n",
       "xH2tYmvo+9xoxPtPTmc1J4MdbUZ77pWugdN+k4SXvtK89nMHdI5pnK1ABwAke2xmtOqHGQDOjPmb\n",
       "ucqf33wEurT+LEN8jpxB9ebs8lKWU02mlE4G6MeEMI8g9fzpNdmjz6r21q481lO1qFRlSGvLQmTB\n",
       "5QAAIABJREFUPPyiht2NSys7PCwY0lQdW+ZmE0KaKaW/a095hb8WfemUM6E0BxNKc3YcP/zxT7sO\n",
       "aQSQ1eM4C8D2PZ6b0vmEEI4QYusSiz2x7DK2Z8hSGnrJgVooRwKopJTWAgAhZDZS2UI7BCWldHGP\n",
       "8UsBZB7gORUUFPaMKicnd8c3SpZl4XS59D0H9LRGOgcereI0Rj4tFhTsnfWaLIZQB6dOGrS971wz\n",
       "Uu1cum3l1vPfnr+00CHoG8ZaMn7VBWVDsCXDPrz08WtvutkNQvDmKy+XrJ6//OYhasf6fa0f5wR2\n",
       "Te7w0e08fwWMrv6dXd/LOUJhEdukK44dxhZtWYbOd96CpmITup/4JDMLCxPiJq0m/doWc8aODjZ+\n",
       "DY655cJz0wkhkGWKzAy3c4V61T9WJFqeGi64Fvbmmgfr0xe/9uobG2697ZZBJrMBzzzzfJPGG3t1\n",
       "26aKvzc2NroyMjKYis0Vie21dRtzYN9pbreQ3AZCW5wlHfrc4eE9dbhp3fCtLdi8uUBrz613Dzmp\n",
       "ZV/7UpvSRSkS/KL+uzen8wYrk/C1iclI4E2Rk553TrlmEGEYyMlEQeuc5591AWf25lp/a8RYSA1O\n",
       "1e3SBiEEhLAsAFQvePtmJnPU4YzKyEoRD5q2LMrojAE2ezosdjcYhp0O4DgAbwJ4FoAXSGVxb/7m\n",
       "6dspI4ykciJuMDvvzR1/wU7t5Cy5w8KW3GEr97U/U+bAuMroYAWdLUvQ29oSoU7fvuYoKOwOKh3U\n",
       "HLkVAIoIIbkAmgCcgVTprR0QQgoAVFNKKSFkKJCqM7mbtZYSQi7btTsOIeQKpHRbrzhQQZkBoOc3\n",
       "u+0ARu1l/MUAvjrAcyoo/CUhhNjGjhnzssORZm/Yvn3jypWrru9r/COlNDZ+4qTtoWAwW28woKmx\n",
       "EVWVldu61ldrbbkmS/5ok6Czqp1SUnBEg6qseIjaWVVyT2V+ekORweEpMuy+yHhL1K9rVIm3l2Rm\n",
       "uYPBAIxGE8676GLHzctXngRgj4Kywt0vt8Gee2JE0B1LGSalyijQP0OPw0qtKPVsxao7Hg443w1b\n",
       "IrEoNABEQmRf+WA5fviR5O0Vq7ZZGsNX5+nt/p3uUVJsb21pE21WK/fSK69hymET8NqLT+d99uU3\n",
       "D/zw2XfPj+ZcH+3res28JlHgFa+4//a7zwHLGK0RfDDY4G4IRWM3/+P2e67TGHSZ0UCoYhS1vNLt\n",
       "1o9JSaYxEVb1FJJ7qyXZtvKdydl5WQ+VnXxNRs36la1VK9960j7sgn0W/86feOV1tYteXxz3tpaz\n",
       "rGpOzshz5zRXLTqhO7Oe4QVwemuvrQ6/NemDT2jwf/fsZtmcPYYR9ETs2OZjiPwlAMgyyWE5NSt2\n",
       "boMcaASfOwkyJWhvb4GnaQscjsyAyV1qBHA5Ug/T5wC8XvHtP6+Evd/FrM6hppARrF/8krdm2bGW\n",
       "vJH71V1JbXRKGcNPCXFqg0NjyRBivqYOpbSQQl85mIKSUioSQv4O4FukQg5fp5RuJoRc3vX7l5GK\n",
       "Pz6PEJIEEMKev0TegJRb/CwAq7reGwpADeCk3u7pQAVlrwOVCSGTAVwEYNwBnlNB4S8HIYRMnDD+\n",
       "sw9mvzfWZDJh67Zt4y++9HItgAv7utbC+fNOOvuMU19zudLtdXW11atXr73J4O6fby0cZ3CxnMYt\n",
       "SWxGLABHj1qRy7z1JVGRKTUlyKrB5ozduv/2h5aoX9fgEF65Z8bDZTzL4u03Xse5F1yISCRKqSi2\n",
       "7foJ5NVZNOuzhxwV0JpPElm+vPt9RpbqBU/t+hML6MRjwzFD/O5PIG3dglFdrpogw9YHVfoP6l2l\n",
       "//2yLZiReO8zXbkpfaNVb/9Vss8I3vnpM8++OGnq1COG6TQadUlxIQGAk088zrxyxZpj0YaPgFRW\n",
       "+YZE50RCaXKYNn3+rt187GpDbAIMrwFIha4D0PNqcRzUTyIIgGgA8kuMZBXDyG29EJLdmEzam4+/\n",
       "YkY2IQRFQ0e533/i3qtkMTGb4X7xqstivOtnkgCALCUIALgHT/+AYfn3GVagDMfTpL/VR2U5izAM\n",
       "ZDEBMezZnZXiD4FT6WjOiJPPrV/56UyJknROUH9TMu2m/wIAw2CFuH3psaxrMEOjXoBSoCvSIBGL\n",
       "oG7p7MpBJ997G1IF2ycCuB3A2Yb0Mn+Id6gBgIABMedke6qXFlvyRq7awzb2CcOpkD74+BCvMRrb\n",
       "K34SesZVEkII0VivAac5CnKyk4bbrqeUeg/w1igo7BVK6dcAvt7lvZd7/PsxAI/1Yp1WQshYAIcD\n",
       "6I+UtvtiDzUr98iBCspe+fAJIYOQKlI7bU9/ZISQe3sczj1YdZEUFP4kGCeMH59jMpkAAMVFRWxh\n",
       "YcGAXQelp6cPdrpclyUSiZbNmzY9RindXUmZjsULF/xNY8228jqLrThnSKGLMEwuIdTB8AmT2riT\n",
       "yFqEjkvHn3XyWQPKB5vm/fhD25JFy58czTu+35+LqA15TNUxT5mecK0jbbk1W7noKTNn3F6WmZEB\n",
       "ALjwoovwyssvi021dWvLqelNINX+cG3O8PJWs+vEGK+ZCkI0AMBQkWpCDT5tS+1z4zd9W1Ac9k/O\n",
       "Dgf13WbUBGGiIqf6b4vJ9elrGq2J8mxaNhhuXFrBlr3tUc3y0qiE6br/vj578IhjJjyBHvFDkixR\n",
       "gElZVW3k5ZsuvaFfIiHKr77+9trSML3SzGsSvb0X3VnblQwnetxl7brsoZF9CUlZjCMe7ODEWJA1\n",
       "aNSqRDSMVIIxBa/ihG0L3zKAUklKRkFlKbVWl6WMUrnreEegFgFhGEIYkogGZm7/4qFHeb3NnAx1\n",
       "tHGyOLNxxYc6TqWnnMYATqWXGU5FObVB4jUmietjF54DxeAqifU/9pb7d/MrPZc+lCGCDrCXQmxc\n",
       "Ci59MORkDFLL2rAta8DlSLn7/oZUnPA9AMqyhh4Pv7cdbS0NEMUkEPN41ab0fYYM9AZ7yaQIr7Oq\n",
       "2jZ+l0UIaaKUxonGOpNNH3YnY87RUzEOsfqHUkLIOCWR5/eHEHIYgMP+4G3slr7EUP7edFUy+LHr\n",
       "tV8cqKDsjQ8/G8DHAM6hlFbuaSFK6b0HuBcFhT8z4erqmh0uZ0mS0N7evlMCQE5u7oTTTj/j3bvu\n",
       "vjuzubmZXnH5ZVMIIUd0u8UJITyrNhp1jkJ3ukpndLMCXyCoE3ZWldxTofGElGTSS/KPP2H6KSYA\n",
       "yC8ocDxYX3cuWtFnQbk61FKkK8t57PKTrsiu3rbNv+C7Hz4hhIS4HkXMWY5H5YZNP05gHXd6HLmG\n",
       "1e7+ZwQ1hpNkhsvrHsNFO3znTi4xH6YNE/p1laVj4aw79cmUBY4SggaVpknN657elDFoXoRXJRex\n",
       "nQ+d/bdTDnO709WzZn9Qt25z0/WDDOl1e9srx3B0iqtk9aLVG39euHjptOLCAvXnX37THmzqeA9C\n",
       "Orbx4Yv+cds9/dLsNgBgrr/2isGPPfDkyRP5rP/s6z4EkzGuLhkVqjlVorMra9vUI9lGFuOI+Zr5\n",
       "ZNTPdr2oGA0iGfUTKR4WZSmRTEYDUXuacYWvta4wo6CU87W30ObKDRs7t66pQqrjBe1jKZsaQsi3\n",
       "SFXbIABIoHEDi5SrjOF1Vo7XmASG5XmGV/OsoOUEnRWC3k5UBpvMaUyS2uhK/t5CE5Ry6CrpxKiN\n",
       "gK0Eyeo5K1mOn5s3+vQXetSuBFIlhaYBuIRSOsNkSdPoDWbaVr084E343/a1dF7j/eqJPCKLDdnD\n",
       "T75rl7l9wpQ5MM6rDTyvMWYTQpqIKWcaY87RAwDhVGCshUVSqDkfwNYDuHqF/aDLGDW3+5gQcs8f\n",
       "tpldOMgxlIccByQoe+nDvxspC8CLXUmRSUrpyAPbtoLCXwtKqTho0MAHr7n+hntHDB9m+errb5o2\n",
       "bd68Uz2xvLy8Gf946KFMQgjy8/PJdddfP2rpkiUjCCEbdUanMz8t35muNnKFgjbhUukSBl69U0wk\n",
       "lVN9ZAnD7ngvJkusVqfdqXiPSqVmgb4/a0WX8frb7r47h2EIBg8ebPb5fMdu+Wru5c/+8+ljZt5+\n",
       "ewHLcnji0UdqhZwpc39ylTwU51STQQgHAESWO3hPZa2zfnFkjKdmwLiVAqKbUxVh9AAhWVlYYbVD\n",
       "nnQYtnq9aZXrt+SPotofl3bUFBx94cnjDps0QQ0Ad906I+eGGXdchxhu7N7XmnBzadwkXECpRA1+\n",
       "+kJ/vXOHS3+MZL3/3y+8tQACV6iN4+ci3lQ7L1h3dFLN9Dfof8llMhoMhOHYnZKbdsUbj/DVUpyr\n",
       "E3SJQN6IFmPGgKgm4mNDrdvUyaifSQQ7SDzUQZNhryQlY/F4sM2fDHtEACIACYDUMy6PEHLBB0/c\n",
       "02iw2AaF/N7a+s3rbjwQixftNnX2+E+2p7FdGewcAJ4VtJzK4NBwGqOGUxt4QW+jaqMTKqNT0lgy\n",
       "E7+lyLTnDXujtXbpcVzWmCIAkNrWVzoKRlzsGnTsnjLURQAvdVUbeYDl+GnpxWNNVnfp5Y0NlYa4\n",
       "SBmaDNO6ZR+lDTjh9gsOZG9ae27SPewUiRV0Ga3Vq0RKZZAu8UsToSiAwIGsr/DXQxGU+6AXPvxL\n",
       "kGqhpaCgsBcatzcuXCwv+fzHOXOS1dU1/9g1PESWZCrLMliWRSAQQGNDI7WpjAOKzG5tnsaYyFQb\n",
       "ooZd4vy6WYDOGzOL88bLVEZTVe1P42F/FgCMvDq5dsPGzfU1NY7svDxu5fJl0Za6hqVFJJWzQWVp\n",
       "JwG6N7Q6Hc8wv1TSSXOkCZWEkc11vktuv+2Bq2Ppg4sS7pOclOUfTi1OZSEZn+fyNHxWsvb/Ljje\n",
       "bh4mrF1DIIoQARC9HsKRU/Fee2eSG1TOn3rScTCZTDgG4N+Z9d4Zqz+Z+3VcEjVmk2lHhjDH8xB4\n",
       "nl2+vTaXYRiZ4TkhY3jxkzddfWm6KIl44LFnyrZta7u0SO9oB1Liepw2aw6AOR4ppNpmiL1yww1/\n",
       "H9DW2Ukef+b5xO03XivIlOL5l16rc8X5/+4or92DtlhQVSWJbJ1KFw3YsgIMy4uxtirSuW2BRkpE\n",
       "k8moPxD1NMSQEjtJSqnUm/vZNe7WXt38g0yX+Ex2vYAucURSiokDIGjteVpeY9KpTC5OY3ZDbXaL\n",
       "B1tgOvof6ZFl8dTOuvlXA4TYs/q/sBcx2ZMmQsjFAI4C8KBKb83IKx0Br6cV7S3biaQy/qr93P4g\n",
       "6KxyxvBTQhFv01Ohmjk5jK20AHGflwYa/k0pPSgudoW/DrLUqz/9Py1KL28FhUMAu83W/7hjj/38\n",
       "4X88kNfR2Umvvua6MYSQwymlO+IdKyo2P37xhRcMPefMs7Lam9qkL96Ztf68rPI1Fo1xr5ngi+Mt\n",
       "0067/KLp48aP1wLAnB9+OO3LN2etHaNJnwcAIxLGW//5wAOXclpNLg3HVo1n7O9XhtvtHqf2sYyc\n",
       "bHtbS0uINHkeGKx2bt51bSpL2BRscwoMm/TJWLhw3oKycRPH6wJ+P376fk4dGX5azmaj8+QEp5qI\n",
       "rrYkjCw162LBT09f/H8VAxrWjhGSsbtYUBPqADAM+LHj8Ik/FO0s7dfR6vWF272Bprzmpskmk2mH\n",
       "Wi0pLjb9lPwqbbg1e8NHH39eOXjQwAEmkxGz3//I6/X5XNPPP+GtZDIhf/Htj5HHLr8wnRAGPCfg\n",
       "yovPy7777keOLQLe2vVaNlDv6Xded9OA3Kws0h+AUa8TLr92RhUHpsIapC+U6Z0d3WMlKqMm5NFv\n",
       "E2N8A8uFAyBe2eeLiq1bw5GOmggAw4iRI58yWzItzU3M3A2ehkf/Ct1Wuiyoia5XCEiFWgAQ1JZM\n",
       "rUpv1wt6G6dLy6daW05S26P/eNvG763ttavup4TTcyzzfenUG2b15pyugUd3uAYefd9+bvk7APM7\n",
       "a1cvseaU2602F/QGMxrDNftRUn/3MJwKJUfPWNuweNYZ7Vvn5cuJ8EZKae9rmioo/EVQBKWCwiFA\n",
       "cXHRXS8890wex3Gw2WzkrjtuG336384+khDykwWwOTRGdz+NWeNbvOG25yseOoyVaOs4zvGpWsPv\n",
       "8ytvUmAGDx8xQtt9PHzkSP2n784eAmAekEpSmQjXS4gD4FJJQZ1OzQMPPvboYLVaDSpT3HHLLffS\n",
       "DumMntbKiBhnV2vCT084emr/aDQmtS1cvPDDN9589pPPv53kNZaY4/3Od1KWewYAQKkkJGNzhlYv\n",
       "nTt92X9cunjoGJbKV3avFTRbJNd557Oqo48Bm+ZAxS23VQyoDF3sBIc1dussl91Olq1YiRHDhiIQ\n",
       "CODrb75tKNKnVRp5dTKjI3bVzJvvupZXCcaAP5B88J4Z03IzM1kAqNveZPAHQ7BbU90YfX6/REU5\n",
       "gJ3Kj6dgWEar02l3iNbS4gIwIl06jnU8AT2QkBJMezSo3h72qKtjQWyXxdZQItosxQIRpCyP3Rm/\n",
       "3ISJk+a8M+u9EUaTCfPmzp1w9523qwHc28v/Hf5UdMXwJpGq4N5OCOHbN/+o1juLjSqjU6tzFIBV\n",
       "6Zi22tXv8nmHDyScALGzatTmb57iy6bd+NbvsMWop2rR9Z6mikczB01za/QWkjvi1GykMsMfR0oc\n",
       "HzBZY85u1aeX+Fs3fJMkhHBKQo7CrhzKSTkHA0VQKigcQkiShGg0iramJpiTUvEIkzvm0ttEp94e\n",
       "saj1nQA6AWzqy18un5CXLVqw4OjJU6YYAGDRggV+VUJaCvWe56Q5HCa1OjWAMAS5ebkGb3OFqmfP\n",
       "7ZXwXnLbnfeNycrOZmVKwTlKjv5qUyRP0tn697BGNrq827+84OdXwunexkm8LO7I5JVBPDFB83Wb\n",
       "0fnVG5nO088pKJ5azBD1p6+90R5p6pgFwQVRFok73WW8/KJz8dJrb+HT/36O7Ix06vf5wTMJZxYQ\n",
       "dGvNITfwEBLAAlX0rsx0F5taX8b046aydz30ROtl55+Vlkgm5Tf/PXv1UD7ts91dszPOf/zMC69P\n",
       "u2vm9TkMS/DEMy9v1waSHzaSZq0v2M63xQK0MR7yVkjJrQA8e3Fd504/9dQCY1fG/sTDDtPm5uZO\n",
       "xl9UUO5KD4EZJISwndvmq1mVfgyXPb6QyhIgi+BsBcaEr/Yo9LAURz0NvMaa1ae6q72laMrVP3Vs\n",
       "nX9k65pP87NGnnksK2guQ6pP+GQA12I/WzjuiiV3eIzhVKpWVsjsygA/KGJV4a+BEkOpoKDwm0II\n",
       "Eexm89MXnXf+2CsvuSTL09pB33nutU3HuMuXZ+is+1WIGQACyRi/QRO9351fkP/pxx9Flixc6Ach\n",
       "sbba+m/HqdP32vawvaW1IxQOQ6/TQZJkVFdV+Yb1EJMAwKj4DL3NxX6yqhVzNnWiLagVoNcOAqWS\n",
       "LhqYc/Ky/2wbUb2kQBDjFxCkbIIUiCc41VyvzvLFxszyJUlOkABgjCTd9+/nX51PebZAG8PPI/Xp\n",
       "W4FUNvb2hu2eZCKZEYlG8NCdt4AQEFmWc2fccd+dCOKCnnvSxslnb7770QRRTNgZQtDS3p6MB0Jf\n",
       "P/vIC2tAkRxtzl6m5ndv1S3SO9rXb91+zVXX3XKFLImEbWx6MyMWqa9JRhM1gH8L0N7L1nu+murq\n",
       "CAArACSTSfh8vv/Jln1dojtMCKkmiVCIoVSDeBSgImgykowFWtnmdV+XhX3tT0FlMCPu7zTac67O\n",
       "Hn1m9cHei714gt9ePGE1gNUAvgTwDIAypJptPAbgJaQy6A8IU+bAOCtoBFbQdIvK/c4mV/hr8VcX\n",
       "lORQCOshhFBKKdn3SAWFPx9lJSWnGo2G6ZFIpHrDps33I2W9UWcDGhNgtzGcwawxGyJag1tOsxzD\n",
       "UHQOgOU9q6DdScCJskiWdtYVJ2VJGGnL2aTlVHt1dy9mO2+/5f57prvdGQylFA/cc2+tdVvnWXa1\n",
       "YZ8PuNqQx9Saxj/syshwtLe1BdXN/nsH6Jx1ACAyLFmTN2JEi1p3haSzDaZI/emq5YhUvnHunJPX\n",
       "fZUwRvwTGFAjAFCAigy3Iqgxfrk1vexHn866++bWe6Ai1OoKOzUPZGS6Bs285qodaTEPP/VsdUZ1\n",
       "/NRdx/+UqH/07plXH1GQm00A4K3/fOJZ/sXii0fYcn5VSojKEvzJmBCNBdl42ENUUX/cHvKEPJDJ\n",
       "FiC5CfBuB4J9tTQNGTrsnmOOO+7KAQMHmWfP+r/qRQsXTG9vb/+fjqtjDa5/sY5+5zIaizHZtGaL\n",
       "7K87w+AqDcbiyS/4gikDCJv6TyvVzl0+4LiZve7OcQBoANwJ7PhSshwpa2U9ADQsez/b11r1EGFV\n",
       "GiInVpUcec1DnErX6wdm1NvItaz9QujcNr+JUrrfXagUDoxDRV8QQmjr49fu93znzc/gULiOvaFY\n",
       "KBUUfkMG9u93zYzrr7nvzNNOsWyq2CJdfdU1o7n1G/7uANGodTa9zminRr1dNKp0QYEVNgP4VeIL\n",
       "kKoXuVwVfOqk6y4doVarmQ/efW9zsT95pXUXq2FPjHZ7jtudwQCp/sgjx4y2fbv6bbddbfiV9YfK\n",
       "EhZL7cdJPDuUS0grxuhdX+VGcRUqA8iBGtCp0WTJMFe4+58Q0hhPkRk21dCAUlrQtDI4YdP34pD6\n",
       "zVDJ0pHda4qE3RpR6b6qt+d+s92W09aX+7Y82DgorsYIPiavHWXIWoEwLl1e1/RaNBobqtGoEQiF\n",
       "0Li9uSUjZQTcCYNex3SLSQAYOWSQde43C0oA1AHAynBTedJAzksmEhSNra+Ux6KbS2OBcBJAJcB8\n",
       "ByQ3AJ1BINLbjOyue6wBwFBKw6tXrbyPEPI2gHQAGyml//MlZKRgy3WEkJdBGAeovIpSGiCEECat\n",
       "n44R42DEGAinAuXUpt9pS1Gk4ii/B/AUgBEAfgAwI9iy5TtfW+2bTNb4UsKwoJGOIVt/eE7sd+wt\n",
       "j/Z2cY0lQ8wYcZrMCppMTm1oEmPB/fY2KPw1UGIoFRQU+kxXHT/VsUcdeeYR48damisrYRIl9qgR\n",
       "Iwev3e4vzrFlt5vV+ojACjIAxKQkOz/RfA54NksXo18N1TjX9lxvaax16hU33TRm8JAhPACUlJSU\n",
       "3z3jlssmQv/snvbg93g6fT4fzGYzAGD9mrX+LK1lt8JuEeO98ZwrLps+cuQo7eLFi46a/cZbhWNp\n",
       "2jMyIVidN2Jom9F1apxXT0EqoxcOX1PHsas/rRpSs8IpSInc7nVkQpqjvPabFnP6V9vSy6r2594t\n",
       "lZrPnHTSYZceNm60ZfnqdYEvP/t29mjiesnanrx55p33329Ps1va2trb3V7m7u6Whz1JhGObNlRs\n",
       "HT+gtFgFAPMWLWszSdymzmhAtSXUVJo3tOCRW68836nmOdzx6LP5NT/NP7saiFYAoQ2Ar5du7Z0Y\n",
       "PnzYs3+/6soTBEEgI0cMX7B8xcpzKKW1AGr35x78VaGUbkKPeEVKKWVNWc1guDyZsKCJCCR/Y2vj\n",
       "ig91puzBSb2j8PeIQZyLVMu5RwAcD+BFldHxKWPKzuxOQiNau0rqZIf2dWFBZ5XdQ6eHGU7I4ARt\n",
       "i5iI+Pc9S+GvivwXd3krglJB4SDRVT5FNQjQTwF06YAq4PEKkdYOUIYFw/KQCCe5rNkBh866w+1M\n",
       "ZQmrVIEnbppx67jc3GzuP7PfP3zJdz8/Nlpw/dKtRuAcTpdrh7vXbrcTluete4v4yvWTh+697Q5r\n",
       "fklxZmdHeyxY3/LiSG1aqCXq1yVkic3WWXdYzbIK88ePGTtWCwDjJ0zQzvl58aSfVMM9QY1xusyw\n",
       "uQBg/H/2zjs8qir9499zy/ReMpNJT0gCpNA7olRBLNg79q7r2lHsBXtbV911bWtB7A0VlSYqvSck\n",
       "JCG9Tslker/3/P6YhAUEpOkPdT7Pk4dM7rmnXObe+c573hLsocdVfV8/ruYHVhv25gIwAYAI4o3y\n",
       "0sXdKvPXVZmlm0WGOyw/GlOW9ZSzTzlRDwAnTp2k2bxl2/G0KfqvArW5pyCKG9AmIg9G7E1MAsBI\n",
       "1vLmCy+9lZ6RbRvkDwbE7qb29/N8PoeqqzYgZlmmz7v1agshBKF4HJdedl7u7B0N02qb2x7pqzh0\n",
       "sORkZ5/85BOPXXLKSScpAWDtunWnXXXNdTcAeP4QL8FfCtHfeVa85qu3iFRtEqO+TurvuKBzU3vQ\n",
       "31FlUKb1U2mzyhOajNJ9umk4qhbrHfXrnwMnMyMRtluLx//dVHTMQQm3nqYN8c5t32+1DJyiMOQO\n",
       "O1ai0M/KHzQ53tbegng8CiokQIS4HwCifhfLyzXCrjXV9wcnU1Hb0FP9DCexSJQGJhZ0p2p8/0X5\n",
       "s/tQpgRlihSHCElGMkszAXkGoDkLYM2AhGV4LqTUyxm1iet2R9957a0FmbNOPcVaV1sXqti4ddkY\n",
       "lXm3D7sKb1f6ceeeUF5cVMQBwOzZs43bKqrOQPf/yh/qQ+J3r77y6uy5d8/VE4bg9VdfdcqD8c8g\n",
       "3/f8bApdwBbB1aENzayZ4QTCmvEz0z2nZHz5BJ1MRn5avbZqZExzm4TlRUEUKKUU1Z1BLN7mwjb9\n",
       "5DxKmJsV0SCG71jlP67qe1+6pz2dAAUAQIFwjJMu9yj0i6ozSldF9lHa8VDgGG63HIEczzICKOF2\n",
       "r/KyV6gowBcLS7JC8efE1g1CcdDty4mHw0VAlAL4ORHz1nc5YcmwQm1JQ6LHKyQobTlUMQkAGo1m\n",
       "6MgRI3bK26FDhkhlMtmgQ+3vrwYVE+0AJu/lUDshROrvqNIp0wo0mswyQZtZFmF2KWMJAPb69a+w\n",
       "2ePGEkYCKkTRWfPTy6aiY8470PE9LZsUbVu/+4hJH1re1e2Bp/O91vzR53ByjTk9X64W26pXhnyt\n",
       "axsM6f3uq/zikbeoVFuERCzGs+Sl/tNvWnAgYzCcFNbymQHC8GaJQk9ioR73gc4vRYo/CilBmeL/\n",
       "DUKIDoAUgOOPkPS5bxtbBUiLAM1MQJoLEA3AiZyM9Sj1yoTKyPEKnWCTKuMSVhLLBlZU/FzR+PC6\n",
       "LeOYSKJxnDZnzZ79soSIwi7fXCmlEEWRJquZ9ookk/yOY0cOV7/4z3+itbUt4m5qe320xDC8AAAg\n",
       "AElEQVSiMnvLnn3tjb7gnZWBtnFnXHvJiZMmT1YAwLGTJhqfuu/hiwu1Qz6uTeg6r/jP+hxfgmNk\n",
       "sRBGNG3EhO1Le/LtdRoGVA1ATYFEjJX86JNrFtXYBv7gl2sPOHo1IsTZTT2t+RKGiw7VZbTsr/pO\n",
       "W0vbTytWrbWNHzNcuXlrVaRhR9O6dCZ9n++PvsCaYKiHSwRcoiXo9pVFg6EiICoF0ABwnwHKjYC4\n",
       "qaVj3o1PvzjkvhuvHBau2SHMe+mNHxpa2t8+0HXsDXdPz8J357939a0332QBgPfef98TDAb3mpoo\n",
       "xcHRm9jfTghx+9orNZ6mDXpt9mCqyx4c3iksJSobYZLWQsJKAV6VeTBjdFR8fzZjHVxOpGoAQITN\n",
       "yKpd/OKC4mk3mFleNjmnfJKKlh73Q9XXT15PbCMnMRJlsoZw19ZbOjZ++oNt6KmdBzIOw0mRPvik\n",
       "AACTTGslEW9X98HMM8Ufn5SFMkWK34CRQ8peuO3ay07VatTsl98t20QImXW05WzrFZASNSDpB6gn\n",
       "A/I8gEkDCAcwAblO5pNrFR6VgcjlWiGdl8c4lvvFGsrU6a0AFkD6yzEAYKDGYl+xbPm6/v2Lj8vN\n",
       "yZV8+NGHjkhX97uQWgEAq7qbi068/pJh02fM4KbPmAFRFGW33nDjWATw/sGsR5By/QYMHKgAkqI1\n",
       "JE3jfCWnnrpak3WVJBHlB9asx8gdPwklrVsJR0UGgJ4CYpzl1wSkqm93WIuXdKvN/oO7ioA7GpDW\n",
       "qqIvzbrizCJ/IBhfvPiHVWME09x9icpxTPoL8//7YcM78z8aGQ5GOo1m3fBmnTC/s8vZ3D+mvU/H\n",
       "y2MAEIiFOW/II4n7ndQQ6gmUR3yBciAiRbIS+TpAtgZga4DIRqATySAbkRAy4dSrbp0QTwjxSDS6\n",
       "4mACb/ZGe3v7+tKSkjvWb9hwDc/xZHvN9vdrams/O5w+U+xOrwW5mxDiDdhrtb62rQZ9/uiENrMs\n",
       "SuKhAAUFAQEFBYmHDvI9ShmQXYNnCRIRfxzARQCuA3AHYZgb8sbP7mntaCNCImnMJkqzJdTdnI3k\n",
       "e+uASR98UoAwjEGqsZCY39H9R/gyneLIkArKSZHiCGM2GiY++8Cci86ZNVMNAGfMnDbtzCv/fh+S\n",
       "EZf7hBCiGDSw+GGFXG7r8frer66r//RIz40QIkHSD1I5GVDmACQTgBIgImGZNpVR7ZRrJLzSQJQy\n",
       "dbxb8BbH1ZKzhEQ4lBGIv5CrMngBoCvsVTaoErerNCqD3+2tGEuNr+xLQBGGxaiY9s5/P/H8TEi5\n",
       "HFWYfj9Saa3tOy5QkZFIJDtPJoQccH3tXVFHxJ8+/mzR+VmjTjAtrupGd7cPpe6ujKHrP0d5yyZI\n",
       "EzEAYClA4wy3MShTfdtkzl/Spcs4rO25bazvunl33zXEbDACAKxm88T/vvTWuGN0eT/v65wxEttX\n",
       "oUR0UUNG/L0n5t7YjyUMOp2u4nsffzFWEAw9FvE5oAi6IwOD7q4SIKLp3Q6vAfjNgGQjINYAnjYg\n",
       "sGv5SgDozQv43eGsaU8qt237L4D/Hsk+U/yS3uoz3YQQX8jVbPC1VWilcvXd0ZYVj0Nm0CLs9ij1\n",
       "1tsPpk9r/2M/aK9afg5jGzEQhIXYuaFBY0h/reLLee+CV2WpDbbm7OGzDApduj5foUdrcw3CoQBE\n",
       "X3s7JXFp4w+vDMwZd3HVgfpUump+0EV9DpOhYIzU07SOIYQ4U6Lyr0HKQpkixRHGoNMOGFI2UN33\n",
       "Oj8ni1Uq5Hn7O4cQwo4bMfSbd198coLNmoZX3/1wSmlxob6ypu71Q51HnwUSgKQcUOoBxQUAUwhQ\n",
       "BZI2C4dMo+hUaJWMXMtI5VpRJ1XG5Zw0DAAbo/bhAyYMf+SqKy41BwJB3HPfQwMVTt9lZoky3KTH\n",
       "848+8shQnUaDim3bhr/03EuKsTA/t6+5cAxHx8szFgL4RbDJCGNO3acffFjZv3/xsLQ0K3nj9dec\n",
       "gtO7ANL9lLrZhQTDko35o0a71ObTOqIw+N/9DCc2rkFZ8yZIhV0MqgMGYpVEjjUxcXF/SeYdB3Ux\n",
       "9wMn4U0mvQGxWAwffrEQTle3LCZjZgDYp6AEgIZAt3nk5DFGBgSRaBRqhZRoVVx2VsUa1wAqhNMB\n",
       "AQC8APkekG8AmDogtAVwAQj31p1O8Sek12JpJ4R4VJaioM5afAonU0vTBs52Haiw68NQMNovCvEz\n",
       "7DU/XgcQiTFjwL/d7dX3MxljjiWcFEFKUbvstcbiSVfU8RLZ8Nz8Etq2dVGLJ+qNRPT93oAYZysX\n",
       "Ph4HL+/gGLw5cMatb+xrrOpvnp6dIJLriEyvoT2NnTKt7W8ANqdEZYo/AylBmeJ3p8Pu+Pa19z5u\n",
       "e3zuLZmEECz4/GuP1xf48ldOK7z47FPLM9ItAIArLjjL+M2yH88DcMCCkhDCAOBVgLQwGYktzwFI\n",
       "HgAtIHIAHLxc0inXqgS5mpcqDVQuVSWyOWlkbxZBQSs766orLjUDgEqlxMUXn1/8/ANPD8+ORytH\n",
       "TRyXrdNoAABlJSVSS2b6ILQdWtyKjOWFAQHp9Q/ecfclDM+lKcPC5yNklq2/dl69pTC9Ma3fyQJh\n",
       "ThnQsc06c+OnKG3d3GeJBAA4lKpQ3uVXKqRTpoK1ZUC2+Ht0f/iJbWVHQ1G2Ut+RqdAfdu48Ppz4\n",
       "asEnn4/qsjv05546E+kWE5b9vPa4BfM/u2wsZ3ttX+fpeFlgS2V18MTjRulVch5gGYT9fvskKgQA\n",
       "oAKQbE5aJIUqwO1MWiN/k9J9KY5Oeq3P7YQQhdpWYgao0lAwJixRGvb7ZaJq4eO3i4x0OgiljBj/\n",
       "bODM218wFR0zr++4u6vBQnp9NAkhSDBSjb1i0fnW8hNuZFju7OwhJ+ZIzcVwuboAACKv5CHG+wmx\n",
       "wE3NP735Y874i3fsOaavY5ssDvYa1jo46eOpzdZEWn++21o6/TJH1WKGEGJPico/NykLZYoURxh/\n",
       "IFhfmJ9zRe2OxrvkchmprW/6tKp2x3u/clrY7fHuFAuiKCIUjuzX940QwgGQmAFpFqCaBkizAVIA\n",
       "iFpA5AHayUokXQqdskWqlHAKHZHJNEKaRBaXsJI4kAz4+MnV2D/BQDdAaa6wyrU7q7wkEolELBqF\n",
       "RJr84PH5AjEi0JBepQzZ7fadqk2kInw+fxz7C8n+FXS8PDYB8n+DAvurwR2QqiRbcodNjLP86UUd\n",
       "1cMu+PE1MrBtKyTC/3RWgmErQhLl923G7CWf5Jjvfeb8C0exbFIwV1dvh9VmzRt/+imvr12/sXtD\n",
       "deNTw/i0Hw954gCGS9N//u7LJS8dM2XMbekWkwQAJo4bqViy/OdxcGA3QRkTYown7JWEfE5GE+j2\n",
       "dwYkjzz2j3/dkpNpU2zZtr0jvaLqji8AxRaA1CfzRjqQtEamPoj/wlBKQ4SQFn/HNmXQscOizx8N\n",
       "Q/6oveYTrfnu+ZlUm3spo81SA4Dobri6bvGLWwqnXLdiZyMh2knjERBeBkopaMjVox00uQPAzQDq\n",
       "KKV3WzILIVVo0dFaCyJRgIacIMo0Y7hnezmAXwjKoKNeSyTqnQ8BQggoK5GbB0wKEoZV2Su/RUpU\n",
       "/rkRUz6UKVIceeoamhcBWHSg7SmlzaOGlH+Vm2k7q7hfvuKF199prK6rv3tw2cBbczIzZni8vuim\n",
       "iqrb/IFAcz4gNwOqUwE2D0BOUkAKcUB0sBJJm0KnbdhFQOp4aaJvG3tPVnM9951y5XlTM9Itsvc+\n",
       "/KSxp7Hr+gFqqx0AdD3x5+978NHiyy69MM/t9sTnv/v+2vHG3I0cw9E11TsW/Of1Ny8sGThA9913\n",
       "i9tJl/cZKPYuKH3xCO+Lh6WHYw2szBpUFJIozu5nr51+9sq35P07toET/6e34wxXEZYovm8zZi9p\n",
       "MeXtDCLgHF3PPvzIvBfOOedMc0NDM21paY4//ejDChCCKZMnKu6ce9+1cOCwBCUADOD0iwL+wGUA\n",
       "rABAKRAOR0SABxUF9MRC0mDAxRK/K57vd3bv3NIO4wtnl+PL7wCdGohtBuIVgDuQDLA5YqmKUvzx\n",
       "6RViAUJIOOzpNAQd9Xpjv7FRhSl3N6t1IhI8Bmm2nS43RJOhi3W0HQNgp6DMKJ18W1vlEjV4ZTbi\n",
       "4ZBCrb9Hbsjq6+dlb/s2VpNePEdnSCMSqQzNaz+EoMoE9TTZFfr0TXubn3nAZIfr2+fbqS7fTFgO\n",
       "NOJJMGKsAgBMxceGAKRE5Z+cP7uFMlXLO8UfBkIIMep1k7UadW5Dc+v3AwoLTrv9+qsfmDJutDoS\n",
       "DGLOPQ/Vy1f8fMYYwCsDqB/g7FKlrFuqUlKZmuXlWkikCqrk5XH5r9TBBoBVrobC4y85/dVTTkoG\n",
       "D0UjEdx8y13fjY4b5vS1aQq4tS1McAISgk+qkKt1mdazOJ5j7C0dy7Xe+JeOaMBaqDbX70ssrkb3\n",
       "pVnFBacaDXp244aNTf0D0pv2rOG9L9r1mfqgVHVOjqvxlOKOqrSirmowvfczBWiUk26O8vLvWo3Z\n",
       "y/ZX+rDO7zB2kMgIJprozB896L45t9+U23fs8SeebbbV+U89kPl44mFJR8ijy1eZumUs/4vru5ra\n",
       "b5g2fcLp/QsLNF9+u6yjeXPdw1kJbkvU54A56PIVRYPBMmDn2g8kwCZFin1BCJGpbSUWXc4wibHf\n",
       "2BAnU1EA2L7o2VmCOusJorYpAUD0NPskUecNRVP/tvhg+u/atvhiY8GYe3iZUhaP+IXm9V80JgKO\n",
       "F/tPv+mDfZ5T8Y3J1bj5McryWkZMVBZNvvohXqHbqTKc1UuV9spF3oinI+VTeYQ4WvQFIYTW//3c\n",
       "Qz6/4Ln3UrW8U6Q4XHq3rnkVwGf0eCrVPZ764QAf1qhPOnHEUDWJxyDneZx3yom5T67eOEyuMlUx\n",
       "EhXhFRrIJErBxknje0vn82tEhITSkmbeaVaUymSQyqQy7GLvyFUZvLkwfLkx0Fk0aNK4uRfPnm0C\n",
       "gCXLlmV/8uZ7bRN1RYsAoCXo1jSz4emiIIaHSMyLNLwsvt7dnDP6zBnnX3DBBXoAsDsclvvmzL1x\n",
       "PFU8sc858VIuwsvPsni7zpha8XVudnfzzmMCYUSfXL1VIOyXTeb85Xad7YAqchSq07oLgUVQAasa\n",
       "m5rsdmeOxWImTmc3bWlqbrLtpV52H1QUQBgW62Odk0356TcM6TdQtW5jhYvtcN9WorK07tp2NLG8\n",
       "sGj+ou8/ZeL95P5QRV483FYYcHnKgXBflLYDYDYAso0AGoBwKsAmxaFCKY0QQlpCrkZ1yNWYZug3\n",
       "VtBmlkX7T7/ps20LHxsk+NonAxSsEPmq6MQ5ByUmAcBaMuVNAAsBvMbL1MP7jT/fBmC/GRGsZTNc\n",
       "1rIZl+/ruHnApKAoJLTO6sVIBeqk+KOREpQpjip2FY/5gEINyE8F2GyAWAFRBVAWgJew7LJAONTc\n",
       "3gWFUgXCsKiub/cbTXnebGPuXoNoDpYybfr2Dz76rL68tLRYoVTgk8++8MTdgW/B/7LmX1BKxkyb\n",
       "Os3U93rSccepPpz/4ThQLKrzO4yRPOO/7rrujoJgMEj/8Y8XLsnuCV3so/GssvJyfd85lrQ0olAp\n",
       "07FHFj1WiLOSROxkdcR/VrarsdAUcO2sJBNjedGtMlUSSj9qMeX+cCB5IrcGuwoSFtXNSqWS7+5y\n",
       "rhlDja/1Xa/ikPzOB+576DadQZ/pcfd0FIcVj2MvQbN1fofBY+afyMnOSLM7nAFeVGnvu/2GdAA4\n",
       "46QZhlvumXc3Qriqr31fzsiMkLfJ6ndtLY6Hg/2BGJDMGfkzINsMcNuBWAXgSG1ppzgS9AoyHyEk\n",
       "HOpuNgYddRpT8XGhkhPnPCAmYg8AwMFGhe+BC8BZAJ4CcBqSQYK3AQeXI3ZXLKXTggC09spFYm//\n",
       "Kf4kpPJQpkjxG9CbsocDwKcBkgxAoQFkZwBsBgANABlApIDo5eVSr1Qp28HLpJxEAUaqJFKZSrRG\n",
       "I8899PTLuSdMm5TdYXdEN6zZvHCMuaD+SM3RJFNHvG3Oa2+99a5bpFKJIu4NfzuKt3y7t7Z8NFG9\n",
       "ZeuWgC3dqgKAmtq6GI3F68ADdg259tn77y1QKBQAQK6//obc5559br4myl+36JtFHeVlZTZCCDZu\n",
       "3BSJeAObwCigC7qV2pBnpiQROy3d095PEQvtFJEBqVLo0mVUCQy7wK61LglJVXu1vraFelQ1AecA\n",
       "FcN3jzLlNfT9TV6U/uR998zNZVkGq1avLXnnlf9GRsPyLgAYJIroGEHxMJwAYMLexCQAeEzcA08+\n",
       "OGeoXCYDBcVdDz+doDSZa4njWeh1WkXCnyCeqF8S9LtYhd8R3jNnZF+UdmVqSzvFb0xv9H8XIcQf\n",
       "7mm3GAvHQ5c95IArPf0KUQA3AGgB8HcAzwAwA/jnoXZoKZ0WBBUMUo0FUZ89JSr/JPzZfShTgjLF\n",
       "b05vzWseAN8PkGoA+URAmgYgDWCVAMMCYDgZCUgV0hAnlYR4GcvJ1GAlckh4uahi+UQaL9stcMYk\n",
       "RyTkj1688LVPcjS83D9aa3Ue6bkXqM09BQLuRgjYJEYGb9FF39Bo1Xxna3vlyIT+cY7hKACMVmWu\n",
       "/fKjzz6qqKicJpPKSFVF5dbRrPltAGAYhpNI/6fMFHI5Tp51sm3hx5+f0bml5oHbb73tGpVSxZG6\n",
       "2u3XdLkYljZ9bPS7clkq7PSXcarTxFZjTm1Apl4Q4aULRYb7xZMpISZI33wqA13ZTIHl2etPuySn\n",
       "qbnJv3TRkq/GiManavyOoutOvDCbZZP6dMzokfKPPvhkJPx492CuS5rZpJfLkuHmBASZNqvY3dMD\n",
       "k0GP5tYO2trS1sq2OyWZfqd3tBAL9UPSUaAB4JYDkg0AmoFgb5R2JLWlneL3gFIaJIS0RDwd5rC7\n",
       "TW3uPzHY51t5BHgSgBPAwwDuBJAG4D4cQA36vWEpmxGgVNTLtFaaKtP45+BIC0pCyHQAzyFZp/dV\n",
       "Sunjexw/H8DtAAgAP4BrKKW/mnLuUEkJyhRHjF7hyAHgzIAkE5DLAPnxAG8AODXA8AxHWF5GBImC\n",
       "i3ASSUyiQEKiACdVgGclopzlE1qGO2CfRwUnFfqsb78lTQG31lCe88DcO+dkrd2wAT/8+NOARq9v\n",
       "kqOt8+uxouE5wrAYQ83/CFU6XoxRkR3Hm2PotSmqfPG3Hn/siQl33HGbNhyJ4OPPPsWll16Kbz/5\n",
       "QnmJvV1QNddsY0VhiioaKO0bTyQEOyxFYrMpr8ahtXyoiAa/lCZiew0kqg46M8LpqkczszINHR0d\n",
       "Xqbde38sTXndUw/cm8dzPIYPG6oNhsLTKz9b9o6Ol7tq63Z4RwwfqgcAvz+AUCjsARQHdT3sdofT\n",
       "5w9Ao1ZBFEXU7WhsnfvgU106lVzjsnc1jK2tvXMq4JUi6Rf5PSDfCjC9ZRDtSG5pH1bJwxQpDoVe\n",
       "V4pOTqoKRDwdFlPxsYI6vf+Rsoy/ieQ29QsALgNgQtJqeUhlZa3lM4NUFI0ShZ7GQj2HVbEqxZ+L\n",
       "3s/bfwKYAqAdwDpCyBeU0updmjUAmEAp9faKz1cAjP6t5pQSlH8iCCHyoSNGvpaTm1dot3d5t27c\n",
       "eLnf72v6DcbpE46SNECuSwpH5RiA1zMcq+QknISV8CwnoaxEQSS8nDK8FCwvBc/JRI7lRDnLCRJW\n",
       "stdUPXujMeDSOozsg2azUe+yOx2ZXvZ+JyIZSNfcodNppR2tHbWDYpqHFQcQvX0oNAScuVdNnp3e\n",
       "2WVHdXU1br/5JgLAtGHjprNeff5l51gmuWWs4KSCoreCSx/lSmv9yvXbbvrb329+vtBkVBd1O7H9\n",
       "/HPEuU7niRIxMauvXZiXoSqznDakFdS1GXM+sHo6vtEHe8L64P5ja0JWxYNPPjmvlOckEETBdvtt\n",
       "c+6TsZyf5/idbWxWq2xNIqIeY8qvW7X8p499Xt9J6ekW6ZKlP7Rk+5knD1JPIt3D3nvnA08+arWY\n",
       "rHa7IxTd0fjoWJ97U4kQC+YAiQiA9YCsAmCrgUQd0O1Iisijql57ir8uiWjATwiJRLydFkPBWKW5\n",
       "/7FBpjeZ+WGyEMngnDcAnALAgKS4DO7vpH2RPvikgJiImgkhYUrpAT8zUxx9iEfWQjkSwA5KaRMA\n",
       "EEIWIPl+2ykoKaWrdmm/BkDmkZzAnqQE5Z+IoSNGvvria/8915aRiWg0issvOPsTQsiwA4kU7K0i\n",
       "QwDs+q8EgISwvCSN5RVKwqqkDKscrjTySoZh1KwESpancokiIZcoBI6XgGN4kWM5UcKwURnDCUci\n",
       "OAYAnCbuySceuXe4QqGA1+fHnLkPyI2mNOtD992VRxgGLS2tRY/Nezo8hqbtM0L6cLDINV1btm5x\n",
       "R2KxtDGjR+38+7ChQ2T/VcsHIbz3LWNJPMIVdW4vOybkHpPo2O7VJuJ9+e8YAEynzobKrMHYYS2q\n",
       "79BnfJrjbFyU6W51D2jfduBzs1g0fG9gAcuwsNnStTu2bv/q+yVLB06dPEntD/qxcOFXTWVaWyMA\n",
       "jBJNLzUu3zq/Lh5RlWstnTLFL1P87I+EkCBygpilxXG7vKo6PCXo9g4FwlIAGwHpCkC6GRDqAW8b\n",
       "EOytnZ0ixVEHpTROCGmPBd3aiKfdbO4/MbZn3koAaPrx9aJIoHuAypi9IXPk2W0H0PVKAKcDeAfA\n",
       "MQA+BnABDjHIRqo2CwCYX22Y4qjmCAflZADYNZNGG4BR+2gLJL/UfH0kJ7AnKUH5B6VXAEqRFH8A\n",
       "QGaecmqxVqtDwJ8M9C0fPCz9pxU/58t06T0MyzOE4Xp/WIYwDAPCcBBFDgQSta2Ul1CBVVIqU1CR\n",
       "VxDCqRkOaoajapajCoYT2pnoSEHGjmTi4rbx0vQvjpRY/DWoKCAnJ8vaG9QCrUYNjV6bOX7cGD1h\n",
       "ks/Y7OwsVmcyFOCIe1EmKdGm29es3vjGjvqGi4YNG5pWXFTMAEBLa4sQDUZawWh2ts12NqbbPO1j\n",
       "FdHgGE6Ij2JAd4aFx1geNbaBqMwaDE/ZCNS0N60rjibuy3PUd+U5Di2eqLOzszsUChUoFArE4jG0\n",
       "trZ1j+Us7332zgexrxd+PT4SDvttHvK0SqXaGTWdpzZ5AHgOZpxALMx5g90SwecQMv1O7zG91sga\n",
       "gP8MUG4BaDPgr0n66qSq16T4Q9D7PvUQQsJRvzPdVHysfNcqO1VfPXmdIDNeTXRFhp6eto7gd/+4\n",
       "p3ja3w6kKEMlgJMBzAdQBuBzAOdgdxGQ4i/EEfahPODnKyFkIoBLAYw7khPYk5Sg/OOisA4+OZOX\n",
       "6wTCMJRhedi7m8KdTi9kUilAKGrrW0LZY2czhGFMQjzCiEKckUUCnCwe4aXxEC8REqyWMFRDGKgp\n",
       "JXKGFeUsH5dzfETSG9zRxyrRcdGJp59x8dQpU7Rbtm456Y1X3igbR82P/B4LJQwLh9MZRG8YMRVF\n",
       "hINh37aqanb6tMkqAPD7/OhyOHk3YR+gsUTtaC5tPsdwdEuwq188TfU3uUzG++3di0dzlo8PdR6j\n",
       "iPn9iD3+0fJvFl/eUN84U61SMVUV22qnBOh/B3SvnaAO+0ZLE9ExLBVzdj2vU2dDVWYZqjLL4S0c\n",
       "iAmDsnFmPx06G6pibY8v+zpPZus6nOuj6wrfNWfOXY9Yrekmu93uVXUF7oZKidFs2sfw42NAAagO\n",
       "re+E0Bup7bOzikB3eGDQ3TUUCLcD3BZA8hYgbQJCqXyRKf7oUEqjhJDWeMhjjvocGkvptIAQCzMJ\n",
       "wp3HGgsNAEDkBlusbdX1OPAqXy1IbkO+A6AcwCdIphlq/C3WkOLPw9pOF9buPxarHUDWLq+zkLRS\n",
       "7gYhpBzAfwBMp5QeUG7iQyVVKecPCiFElXvslemmognBWNDNxIJurqd+ZUaukf13WclAU0t9fair\n",
       "sfUlPVWsVFFKlIRQLQApYaic5RNSlhNlLH/AH/47Mrl3H7j/3gF9r59+5tl21dauWb+Vz+KebIra\n",
       "B0kzjXcPKCrUVFZXe2i7956olOlnyLFcbk2zyDZs2iKccfoszbSpk9XV22ui/3j2xWU2H3lCLLG9\n",
       "ec/dd2SzhMVXixZ5v1nw+ROjeMs3hzMXWSzM5XVtL9eFekYr49ERrJgoJckoOwBASCLHdlvp/0Sk\n",
       "QluljAaXWF2Ny92uVX+bOGVyuSiKWLFk2fpRce0cbg/xfjSwpzWySIiFZIBYAUi3AKQhGVzjQVJE\n",
       "pvJFpvhTwUmVGmPheKsqvT9tr127lLEM2ul7Jnasqyg74ebpAccOadPqDx6jrLQAYsxnzCy51Tbk\n",
       "5H19OVQiKSpHIpnZ4CwAdQc6H1fND4qmFf/ppJQekh/mX5mjRV8QQui2C0885PNL3l64W6Wc3pzN\n",
       "NQAmA+gAsBbAubsG5RBCsgEsBXABpXT1IQ9+gKQslH9cpIrmjenSjuqEHoAKFCoQKm+nV/ialqtK\n",
       "5RrfaGlafE9L46Gy5xcPQaRgyO/n0jNEatkS64qf3dSwTjNAqfNycgsFUJtojn3jrquR2fqlv3L8\n",
       "tCkZADBwQH9p6aDSQeuWrhx9+xnXZbMkqfVmTp+u/fbr7yYhjIMSlJwQZwrstYXGgGuELBYeyQvx\n",
       "YQTYWUFHJAwazAWozixFdUYpGs0FlIiJrdLuKlbr+ilgsrcuG8OkfQgAbSHmns/fem8yEUTvdEv/\n",
       "5b+X28CBkBASxB3xScN+B6MIdIfLg+7OdCBWDUg/ByQ7kr87AkkR+Qs/sxQp/iwkokEfISQWC7rT\n",
       "achbRaP+dCJVszToiBAhugoAmlZ/8CSsQ09jJEpCRQHdratet5ZNP2EfidKDAM5DMgp8PJI+lWdj\n",
       "lwCKFH9+jmRQDqU0QQi5HsC3SBo0XqOUVhNCruo9/m8A9wLQA3g5mfoZcUrpyCM2iT1ICco/Llz/\n",
       "RFQ6VJu+l8oo+iMeBNHd2vnlx59+lj51yiTd5i1bQw01dT+OY82/a9oXCcuLvb5/O+EYjqbJNGF3\n",
       "PLGb4o3EYpQXaGdzc0uwZMAAJQD0eDzwB4PKn2joqlgo6jVmp08AgKi9Z/5IiafgYfQAACAASURB\n",
       "VOWnvnMZMUH6ddX2MwZcw+Wx8AhOiA9lQDW79m/XWhPbMsu56oxS1KX3R5SXUS7k6JHHxdfL6lct\n",
       "dsRqnnj4sUdLNVoNVixfUfb+a2/K9UH6rVCQ9s87Lrguv6vLHv3s/Q+WKfzxt6M66UWCSBOGntg/\n",
       "B6it9t/uCu4dbyzEB4Juvtca6ckQYmEHwK4A2CaAqwBcvSIyFaGd4i9Db+nGVpku4wraseYuysqy\n",
       "WJZd13/GLa8AAOVkBYxESYCkWw6VGyzu+lU6U/Gx+/JNDgO4CMBrAI4D8CGSPpWVv/1qUhwNUPHI\n",
       "bkZRSr8BdjeQ9ArJvt8vB7DPUp9HmpSg/ANDQA743bmKOs8zZmWcxPIc6WpoXj6OmP91MGONZtIW\n",
       "/PDRV/XfffnNWCaaqBwnz1hy8DP+7fC22z9465356cdPnWqsqKgMNlTVLjvW3G/Lws8Wft3d7Z5i\n",
       "NBn4Lxd+HTv/gvMGDxo8ePSXXy4UC4sLmXFjx+H5p58ubK2o9A0iotbY0szkenoYdg8B6ZVro1UZ\n",
       "Zdz2jBJ2e0YpvEo9R0TRLQ82s9edOEA7KEdLIkGf4d45dw3u7vD8PPXyc3M02mQXE46boPz266/H\n",
       "+bzegU89/FCBRCpB+SDIYtHIxNWrV4944uGHTIl4Ag/cd19Jfa3jsgK1ea9+Lmuo42xTduYZUqmU\n",
       "aWlo3DgmoX/kUC2cMSHGeCIBSdjvYNQ+ZzAv7HEnkhVr2G8A1KfS/KRI0WcFauUV+jsNBWPMlrLp\n",
       "oZ0WyEQ0QEURfYGBNOoPqW0lv1b6NIJkcMS/AExDUlSeB2DTb7WGFCl+L1KC8g9MS9Q72Bto4XOg\n",
       "WJWnMnn31W6pv/l028DC64ePHi2bOu14/Lhiue3zV99uGCO1fncw442Qp68DsO5/m71HD6M468IN\n",
       "C3+oW7nkx3FMRNg+RpW5EgCYcHzj4u+XGiLBoH38xGMnTZkyxUDjcVw4fAjzw0svwff+ezhzzWqj\n",
       "NB4z7tpfQKoM19hKaGXWIEVt+gB0a9KkAMAKiVp5LLQi175jhX77shbLtGEfjE7660Mu0SPNarUJ\n",
       "zmjAYbfvFGJCQkAoGIrzvES6a8Ucc5pZMuu000wMw0AileDqa6/LnTdn7oyCZFTobqzztBaNPWPG\n",
       "leedd64eACoqK9NffOLZ5nGM9Z2DuU6eaFASCHZz1OdImPwur1qMJ9oA+jMgNAI9jqQlMlX+MEWK\n",
       "XnqjwHsIIdFExG+zlB4fV5hy4zpL3h2etlWvUKU5jUa8fqmEf0yqNu22a+PvqpF5mjZYdLnD7Gpr\n",
       "cd/OURTAlQBeBDATwAIkUwqt+z3XleL3RxSOOnf5I0pKUP4BIYSQASVl/5p16tnTi4v6yz6e/05T\n",
       "RU3738o01l9EeK2J2ieOmDbxpvMvvFDW0tKCf7/8Eq68+hrVR2/PHwPgoATlgbBKdFxkzrZNERIC\n",
       "9bTZPx7FpX1+pMfYF8PUGTUAavoimlfBefmpl55/4cQRI9TVH38Ud/+4gniuvhzxrVuBaASDkKwH\n",
       "KAUQNlrQlDEAm3QFqLYOgFNjkYMQECr6JInYKqPfuSrb2bgqx9W4MzFRQqogtXU7ApTSNEIIotEo\n",
       "XC6Xd6Q6rXvVqrVff6jTnVJQUKD54tPPWvgu3zMRKcn/8P0Pys88+yx9MBDE/Hfne+fefbe+rz+f\n",
       "3yuIccEPHr8gKmfKxo4bs7NtWWmpjFVISw6k/kY4EWW9Ya8k4ncRhc8RlEf9fjsQ3wrE6wFPSkSm\n",
       "SPHrUEpDhJCWeNhrSyuZKssadU6TNeSZ7qxZnqbNmuxWmnJ3uxvrlr48LhIOPgq52eDZ8KVbrlh2\n",
       "R7+JV/clmo4DuAbAPwDMAvAegNlI5q9M8SclVcs7xdHIoHPOv3DyyLJhsrS0NNwy997ce275+42I\n",
       "4rY9G0rTjWdddsUVCgAoKipCbW0Nliz+LsLGElshAdZG7cdIrPrzCCGIdrrnj5RafjzUSa2JdU0+\n",
       "+YIzL5k+baoGAN6eP9+24YultXkSXUNL0G3KVRmdOl7+m26hEioi29VkS/N2Dc7VKc8t+feL6p7b\n",
       "d8BKKW9Fb0FpAD36NNSYC2h1xiBSa+2PHpUpeT4BuHB3SB3x/dfoc64qadtaxQvxvT4FOIajkRb7\n",
       "43fdceftGRk2RX3dDpe+K3T/BniLEzLG8+VbC56XUNJVIDdUF6qsPgANP372jfjz8hUnxGPRoNwZ\n",
       "evWxRx55/LKrruwfDkeEN1/5z8bhEvNeE89Kw2LFyp9X9eTm5PZZKCNCKLptzzs4JsSZNYLzQvBM\n",
       "HhOKr8gMJ9YIPkeCDbiCPVSMbAOiKRGZIsWhQSmNEUJahVgoPRH2KUzFx4ZsQ2btNbI7EvTdSzLH\n",
       "FBBCQGmePty26n4Ax+/SRABwA5JlGc8C8DaAC5ESlX9aaMpCmeJog2FZpd5gkPW95iU8JBIpj73I\n",
       "A0opKKUIBcN4b/7b6OnpQWNDgzc3Jl26OdHVv2TymLuvuOpKMwD866V/laxa8tPfx6izNh7snNbE\n",
       "7dNiSu5vzm6nJhKJQCaT4fhpUw1LFi05y12gHTRu0DG6jRs39jQ1Oh4cLDVvWR23z6RyyXghEm0Y\n",
       "Toyvy9iDq9bShzrsleU6Gwaqw95yWTxaxgnxMgbUBADGYDcEAJTj4MsqxBaFVai2DKQ7bAM5v1wL\n",
       "9CaFZyM9EWVPTThdFhHCbdUORZvjzhKl5YCSDw+VpK2jncKZ/rYGfjiviK+RBU4cNmXSjVOOP964\n",
       "ddOWwFcffvRRNjWs6Ws/SmJZihCWAipAb4TD7rvsubkPjYcoRkeqM37eVxqmEbqs2pXfL32lpqbm\n",
       "DJlUxjTXN2wcy5h32+6mooDVXPdT19949fjM9DTu2+++n/DxR5+8QPyO15oBb8onMkWKw4dSKhBC\n",
       "2oVYyBwP+3SW0mmBvZZs5GSK3shaEEJAOenenIVEADcDSCDpS/lfMRG7oPqbp2eJjKQEQiysMWff\n",
       "pTRkdv52K0rxe5Ha8k5x1CEKwoa33nht29ybbh+chjR8tGC+W+j2fgGJ7Bdt43b3u6++8kpeJBJO\n",
       "u+iii6DX6xHwBy1z59zxZDyU2H7e+ReY+x56F86erbp508bH7T7fKRa5JnSg81kl2M+cee6p186c\n",
       "MUNrdzrwz5f/jZv/fgMqKiqDrExyjCktzeDsdmFASYluczh220q3Y/lZl18w+7gJx6oamxrjj897\n",
       "vHi8YLr118ZhxATJc9TnGgOuUnksVMYL8TJWFArJHiXJ4iwfajdkuitsJZqa7MGaZlM+4klHejbZ\n",
       "j9Ak89RLLz5pXPrwfibIOSK789Zbd5T08LMJwwJKy4EuHUAywlPDsHEA0Galn3XhRRcZASB9hlVV\n",
       "WbF1aqii80UFJxUSYoL44hGJQaraKf3TZJpwmkzz/YGMM4qkvY/W+PtAHJkw71x1X4DNDlejqfTE\n",
       "40r7FeZxcp0al910g251Q8Pkz9rb7z2oBaVIkWK/9PpVOiQqYywR8adZyqaHJErD7jsZ8UAzjUfy\n",
       "CS8DjUdA4sGmfXUH4HYkP4/PAiHvy3KPYSICZSml8LWt/g8vU57+my4oRYojQEpQ/gHpTWdx9lP3\n",
       "3f+MVqvlOV9k4Wjp/9Le7MpIieWnzUtX/01dnv8vvV6vAwCVWomc3Fxr3aaKxc3NTWJJaQkDAK2t\n",
       "zZg0aaJx2ZeLTrdA8/aBzkebbp4yc8YMLQBYzGnIzc0RH3joEUdTXcOaMceOO/HqK68CAGzatAnr\n",
       "16+3WLIzJkw89jgVAOTn5fODhg4e6PixSp4m0+wsd0aoiKzu5nSzzz5QEQ2WSBKxUk5MDCDJBMH/\n",
       "uxaA6FYanI1p/aJVGWWaOtsAjUNjUYAQRe/FEpmoz8kHHJV6sIuyXE2bs9wt3c0FqgWTys5I7+sn\n",
       "Ny/fGHQ1cNs97ZlBGSlXRGjFCEP2QVezYDluN3ErkUpJjIpspeiars/NuMxsyZOtqqhsy3HTm20K\n",
       "XWDXtgkxQQ40yTkVBbiiAanLZ5e5A93oCXl8bWKiqUirjuUMLAbHJW9tUfiTO+2kSPH/SCzQ7SGE\n",
       "xIVY0JY2cOpudcAzy6df1bb12ydFsCMpjasIK83d9tUTN5bMvP35vXRFAdwCQMqw/Cm5A0ahqb4C\n",
       "kXAQUKVbQ66mDABNv9OyUvxGpHwoUxyteK1B+twQmbYbUu1+Gw5WWms3uT1tokh1DENAKYXT4QiO\n",
       "5swfPf/MMxeeNOuUDICguakZs2bNwvKvvmNXic5z1WmGCaFQKKpwBJ8pVVlb9tV/NBIVRVEE05s+\n",
       "w+f19US2Nl8qkWDklElTTulrN2TIEPz7lVcFmUS6210VCobE4kC3Lq9z+whlNDhAkogO5IRECQNq\n",
       "2HOsMC/3txmygtszSqQ1thJ9szmPiXNS884GVAzwQrySD3u3ka5NeklPoys7kHhvzyh4p8Phi8fi\n",
       "4CU8KKVoa2vxBxn/ycNOm3bN2LHjjWtXr3avXrL8ldHE9MGv/D/shrOlbfnSJUuzJk6aqK7Zvj1a\n",
       "U1G5xRal8twxA6+58eabbADg8Xqt99x2x522OOYCwLaQIzuarnk4MzvL0Nba5pF0eO8pVaQ1euJh\n",
       "CQciqnjZzko0PZEA3+l3KrsC3Ywr3OPriUcaWoFuABFKqTBi2JCvv/l+yXlDyssUr7/9bmdtff2z\n",
       "BzP/FClSHByU0mAyWMdns5adIFHbBsQAQJ87LGivXr4soc6eQlRWJQA17Wm6sm7Ji+sLJ1/38166\n",
       "EgH8LehqHq005VhyCsrQsHERIoFOaSgReRCc7FYAezUcpPhjIB7hPJRHGylB+RfB39r19l1z5jw4\n",
       "aPAgSXX19oS7075SwttEq4deumzx0tevufaajGPGj8O8R+bVg9LE6Redd82kSRNV8Xgc99/3QGZH\n",
       "vfviPS1qfVC7919PPvVM1mmnz7I11DeG1q9cs2yMzta1xt28fcOG9Z5+/Qp0ALCjfoeYCAS/0jjc\n",
       "bQvn3JEz1KDVBjduTJzVUK+XC8JXe/Yb5STRDn1WsM5azNel91c3m/PhU+jUANTJgWmcExPb5dHg\n",
       "NmU0uM3ss1cWdNW0uIJuRZtV8p+bbru9P8uxeO6ppyY3NrquyFObPK6IX6bhZTFVp//eObfe+kRO\n",
       "fp6ho60tILa5Hzb2y7zngtnJ7er8fgWG+h11Z6IlelCCciwxv/r5G++0ffzue2NpPFE7hjG9uybc\n",
       "XHhqebmur41Oq4VGpzWiN148mq554PGnny7leBaiINpuu/mWB372d7eVDCkdFIzG6KbKqmUGT/y1\n",
       "zoCT7Yz4As6wb4f7fyJyN3G+fuPmK2+6Y+5CjVpd6nS5vrQ7nFsPZv4pUqQ4ePrqgIuJWIYlEZHp\n",
       "sodEACARj4yG0vK/XRWVRRezt40GsDdBCQCJsLv5BAosU5lyNHmDp6CpPl0WCXpGQRDeIoSMpZTu\n",
       "q7xjiqOcVFBOij8Fqoy0Mx+eN0/q9Xhw9tnn8I/NmzclVOt+qVid5qxpc1z6zLzHLwYQzwgyb4g2\n",
       "/QOTJk1UAQDP8zhl1ik5/3rgiWKbQrdhb30PlVu3VK3dfukTmx4exUaF1nH63M0AMEaXUdf4yWdf\n",
       "fLB08QmWYECqbm6OPRIKzmJA9WjaBgDQJd+DXISTiq2GLNqU1o80pxUwTeZ8uNRpUhCS9HanNMqK\n",
       "iR2yWKhWHgtv1we6txV2ba+Vx8K/qCNdx4XOuOvWuf0zMmwAgDlz5xbccf2NV3ZJvfkDRpRlt7hc\n",
       "MW+99+1RPvnswLomrpyXJSBLQ4tMttv9IJPJWOwt0ulXGM1bFoFiUd/d1U9lbvt5xQrHxEmTchmG\n",
       "oKmpWfB199QDydSXFqtFy/HJBOUMywAMk3nVDdcWZWRlSELRGJb//OMpL7z84jeunp7Pfq2Wb69v\n",
       "1+e9PylSpPid6E2C3iYmoulCNCg3Fo4Pc7xsdSLYdRJU6UlRGejySOSa/dZUNhVN6BJi4aGhno61\n",
       "Cr3NkFtQhobt6xE3FuWJ/s5jAbz/e6wnRYqD5bAFJSFkOoDnkAx4eJVS+vhe2vwDwAwAIQAXU0pT\n",
       "VQF+Z7Q6nYznOZjMyfQ4towMqaOiTaHgpP5idZqzGHgSAKACVobdgYA/AJU6mdCxuanJr2b47n31\n",
       "vTZmPw5admpRjzc00+XilF07pvKJeH9OTBTt6fMIABFeJjab8tBszmeaTXloMeXCpUljaG9tcJII\n",
       "UZkQDEh6GrZpWdXnhoCrNt9e2yJNxA4sEpwQlmH/58rIshyIlB9x78MPFeiNSRH3yosvXrZ92YYV\n",
       "/TWWnXklWxoaNldt22YbWFIi3V5dHW3e0bAlC8Zf9n+QWOSaUGdd27133nLrzRq9TtbV0lozOKZ6\n",
       "pu/u62jrcIVCoVxCCLp7etDs6KSm3CyJNt2CfKMBlvws1YJPP850ut37FZMpUqT4/6U3AryjKxFL\n",
       "ExMxdf8Zt3y47ctHB4i+jkkApQyNfVI48459WSd3wkrk4ealL3+VPe6SC5VqPfKKh6J2Zb0/IkQa\n",
       "fo91pPhtOJK1vI9GDktQEkJYAP8EMAVAO4B1hJAvKKXVu7Q5AUA/SmkhIWQUgJcBjD6ccf/qFBYW\n",
       "zhx/zDFzIglWucZr/2AUb/n2186xt7XXNjU09s/Nz+MC/iA2b9jYOVKu2WuZsPQe8cm7596de8KJ\n",
       "M3O6Ojsia1esXDTalNvUd9zi6dBbvZ1FymigyM0yM8bKpEVqt4shogAAu0UjehR6tBhz0GrKQasx\n",
       "F63GHHSrzQwIARFFBycmGtTxzsIrJuYYM/UyZBpk+PSD+eT0089Qf//td/2XfvD+ewOkloMKjsmJ\n",
       "Sj56/ulnpt9x1539WJ7Hk48+2qTRaHv6xCQAlA4arN/y9TJLscrkXCm6zmFU8iFiUGh6+bGnXuVU\n",
       "8gFCKLptNDG8uXv8+KEzWJZWCQ8uhSeEfBgBDvDGwlxPLMw3dna+dPnfb3gxr7BIHgr5aVCIdjQ0\n",
       "NzLDRg7TAsD7739gdzqdRzwJfYoUKY48lFKREGK3Vy4ShXhYW3LSnQ8CePBg+7GVTnmg6cdX++eN\n",
       "v2SoQmNii0fPEvmJsw8onVmKo5PUlvf+GQlgB6W0CQAIIQsAnAKgepc2JwP4LwBQStcQQnSEEAul\n",
       "1H6YY/8lSbNYyi+8cPYrV197rc1Z14gl3y7O2fD1EucwmeUXuSM98bBEwXAJCcuLQ2OaR5986JGY\n",
       "Ps1c4PN6PFaXMI+oVHsdI09l8up84mVfvPX10P5A1vExJlMbbnxJG/Jk6oNusyIW2pl0TQMAAUAk\n",
       "BF06G9qM2WgzZKPVmBSQAak8TkShgaeo54V4qywebsl11LdmuluaTH5nAAAq0+ibUwaeYuxLXxQM\n",
       "BMDzUsw86STdN59/ORnAzmTrVBSwEt2zeZVyUCwYbCtPaP6p4WXxXeefrTT4hGbXFXNvuvUiwhDO\n",
       "7KNvhzTsucuWLRvs7nZxRqMZq3760Z6vMjX/TNw3Xnj9tWcPHT5M9vabb4hd9q6oRqX2bN9aQRMx\n",
       "ynDJ5MNHhJiYIJ5YWOJIRNkWIS5xCPGYMxb0Z1nUMxZ89KHcaDSCEEIWLfqm8M45c9756puvy2PR\n",
       "mFhTU/NPp9OZsuqnSPEHYWdaIYU+ISaiJmv5zN1yVfY0rlW1Vyx+jLISCyPGGnLHnHfPnpV2tJnl\n",
       "YYUh+zR347r+suJj/8lJlY0APL/zUlIcQVKCcv9kANj1G1MbgFEH0CYTQEpQHgJWi+XMa6+7zkaR\n",
       "fGOecc5Zhh8XLz0BwMamgFvri4eU2Sqja5s8/PjAIaWFXX6/0L6j8ZNC3YCPrYqBb4ckSo1gTFhq\n",
       "Na6HayVyrSiz1BGFMaYL9Vgy3K02q6fDaPF1qUt72iVnejrAib/UUxFehnZDFlqNOWjXZ9BYfn8i\n",
       "5vaDwahCQ9WWQGtjy/cTh6VPue2k8WoJQ/n7776H1zd6HtszqGd91D4iquRnhTvC7ueffa5r6vHT\n",
       "rNu2baOZmdmE4xjU1tTGSVxo2LUU4U+M++bLbrj+jEGDB8s62jvExx98MGd8Qvb3PeeYpzJ585Jl\n",
       "zQANsCrSubm6quqcs889l2uobxBbGpu6jpMb/dE89aihw4fJtldXI81iZS68+BI5AHlTU6Pp2fsf\n",
       "unwCrP8+nP+vnmiId4sxziFS0iHGWSdIyBvxBxJhnyvc0+oDECkpGIdeMQkAMBqMEo/H8/WCBe9f\n",
       "djhjp0iR4v+XWKjHzUkUgpiIWa3lJwY4mYoCQFvF968S26hjGE4KGguOblw5X1168l3X7nk+r9CJ\n",
       "lpKpVb6OqvNcNcsbuut+jvxylBQpjg4OV1AeqNwmh3heij3o8Xg6t1VWUqdoJs62ILyBbvhzJoz+\n",
       "Rq59R6tV5bMSmeRnjw8SmZKp0hoQUQN+Q+JGO8iNAMAnorD1tKEwAGR01iLDvbg0w90KdWSvu99w\n",
       "qkyCXZMW7VEZ27o11qZOna3OqbHskMfCXWm+rs4mx5bS4iLZPbNGDrXs2FEX3rju8+8sSqXh0jOv\n",
       "U/f1ceY5Z+e+eO+8UptCt9MZfV3ccUz51An3zr74IuOOuh14/NF53RtXr/tepAI79rhjS9547XVm\n",
       "3apVVfFu75bVXLjfaFPeDgBIz8keOmjwYBkA2DJszMDyskL36jqpQaLYb/SMLN18/pVXXysjBBg6\n",
       "bBhTP3lyYdUn31kQ5gQAaG9vw4CBA3a2z83N4zm5NBfxfXa5V4KJGNsTj3BOKhI7FeHipKKLYUOx\n",
       "sDeSCPX0hLqb/NgjOjsvL++lBx98YPy9996XHggE8Oij8yodDscBJTtPkSLF0U0iFvJyMrUgJmI2\n",
       "66ATQ1QUCaSaPNJrsSQSJSPyiqL99RHzO33uHSsP8mmU4mgj5UO5f9oBZO3yOgtJC+T+2mT2/m03\n",
       "CCH37/JyOaV0+WHO7U9Je1vbto8+/BA1sqkQ+3R6+iBbArA5gGSxaqUKCSpC0d6OAncrMtytyOxu\n",
       "FjPdLdTod7HMXvR8nOHCIamyLcLLG6K8tLobqFtcnPe36++YU6zlGMWzTz9LfA01X5Boy1CmNcGW\n",
       "yWw1AGCRWlZu/WHD1Q+t2XgMicQaxikzVq6KeB8KBoJQqpLxOO3t7SGJCPeu4zF69RmzL77I2GV3\n",
       "YOFXC/HE088YI9Ho1Kfmzavu+H7t7JAQk8vz0h47d+4lr7iczsjir75aNi6uuz8UCu52R3q9vkQG\n",
       "y//qg5ZhCMguX2sYlgGllATb7G+9/p9XbhlQUpK2ZPFi8ZLLLmcAYPXKlSGEY+t+7Q6JCHHGF4/w\n",
       "LlFgHJQSDyeJueSacCgeScRC7kiku9kX6WkLYi8pfvpobGxcnp+ff+6KFSuujcdioQ0bNsyhlPp+\n",
       "bU0pUqT4Y5CI+AOEkHYqCjZL2QlhJCI7izhQSoFENGV5PEIQQo4DcNz/8zT2Ck3lodwv6wEUEkJy\n",
       "AXQAOBvAuXu0+QLA9QAWEEJGA/DszX+SUnr/Yc7lLwGltMFitXQaLBpb1Pd/7d15fBvVtQfw39GM\n",
       "bHmNZTu2E9tZyErabISQBbKU5b1AWdJCoRQKpfBK2Ul5KWsIBEjY17aUl4VSeDTQ0iV9DaSUrBBI\n",
       "A1mB7I5jO453R7s0mpnz/pAcjEli2bKtxef7+eiDFF1JRxdpfHTvnXPdsGdn4LN3Vx6aNTB3wDDd\n",
       "QxmHD8JWWQY6sBdW42sVdSwAYAKGv6ifJXvsOFKHDQcPHownX/39uuGWfnNazrIGgA3BIz958L77\n",
       "RhwrvXPfPcOef/7Fp+fcNce2c8dO71u/e33iVDPvCQAYk9XvEIBDLVPT/ZrNpx+8//4hsy+9bHBd\n",
       "ba1v9XurVp/Zd8je1sHoRtAwDcaqlf/Az2+6GampoV/rN91++6nPzXt4mpqVMXbBI4+OzExPBzOs\n",
       "u3Z9ef5+LTghxTAs8+691/mjq3+cvWP79uaaAwf/PFjJb/dnn6+m4Z0333h9yGWXX5FbXl6uf7h6\n",
       "zY4zswtryKLUbH33w13b1nw4PshGbkVZ2TmpqTZLbXnlxrPUwj+3fR4ttH2itdHQlTowNaupWnOG\n",
       "3eOxqIYRcBsBZ13QV/2FI+Cs9SKUREZ0BCkrK1sHYF0kbYUQiSdcAP0ws1liVZRngke23EtpeXb2\n",
       "1NSnZ9kfjnV8ySI8GLW25TYRzY9ZMG3IXt4nEa67dSuAVQiVDVrKzLuI6Mbw/a8w80oiuoCI9gPw\n",
       "ALgu6qh7MWaunD7qW09e5fvjQ/08vnR7cyNdqusDj9fWmZqKJlu6x9DNTTlQVzvSc/YfzC0pX5ul\n",
       "P33DZT+clJdnty5dsqxc96pPcVab05mJVNX61cfDak3ByJEjbXa7HdNnTE//dPPmac4tlc+2PSEG\n",
       "CK1f7FPnve71hc8NS1dTXFPzBh5q2ya13vurRY89MiTHnlva9j4AUFNtmZnpod0TN2xYj7Omz7BO\n",
       "njKlGABW/PWvzifnzf9NX8P6rymtzj4/mcnWwn9+9u6auk2r150P3aycrOS9SUqo9uP43JIqtIys\n",
       "1+I1wI9hltDmOwabaNa8KQ5TV+pMpgZF1d1Z+R5XaqZu6hpr7nrDX3dA9zVXHQ16mvwAApEmkUKI\n",
       "3oWZvURUlT9ixmp7/qAPfY0VBTmjz6nMGTDeG+vYhIgWxcPfPiJiZm67zlKcwGdEFgbcBKQBAANe\n",
       "r6Ie3ldQOBhDhqrKkKGYcc21eG7ZMmfG1sPntt66DwA0I2j5xHfkbLIqffprKauHZPVtbvsaB90N\n",
       "fdyD7Uvum/fAEIUULFz0mP/OOXfZ+haE6li++NwLR5TNZd/LsaZpbR8bqd3O2r4V5L2o/7BTLv/F\n",
       "3LkFPr8fTy9a9OXgBuO/Dqr+6dNmX3j3xbNn5yxZshjXXX8DLOE564bGRjxy19yXp6tFizv72idy\n",
       "vATSl5nndWUX+AAL6X4XvA0HOeCs9blr9zoRGoWUtU1CiIgRUVr+iBklReMu9tuyC9utJNGwZ116\n",
       "+frFR9rb2EB8U7zkF0TEq8ed0enHn73t34iH93EyslNOAprAbP6d6P6GcjQooQAAEtJJREFUdHtW\n",
       "Sk6/LRV5A6tNi8q7+9Ebjz326KiWdlog6LBblG9MB6coVnN65oB/AQBS294bMjgz33GgrP5nv7jt\n",
       "jhdKBw0sAVmM37/2O9x+x522Lz7f6d+z8/PNU615nU4mAWBkdmH9SGDZvv11f583564fsmn6RgQz\n",
       "3ixIy/YVIHvV+r/8Xflk/Yb/bHYezR09evSQMyZNtgHAvzdudKT6jS04ftWjDmmZwm42gmoDAy0J\n",
       "pMde7CMl1TQ0t8XXVEn+sn+bfmetK7weMsDMXVZOSAjRuzCzj4gq2TRLisZeqKXZi7+x45dIPlI2\n",
       "SMSli4E3L80tHT0+b+CxHWwcVbVvLl227I7zzjun79Yt2xyH95f9ozSC9YUnUmczp1x7/U8HT5sx\n",
       "PQMA3n7rbfcN11y7NoOsH01V+77TVUW/h2X2rR8GvAQLvvaJnGwtXAknVrKZjzeXLJu7Yc3aKbqu\n",
       "m3Xlh96bmll83G0g2+M3gpajmi+lmQ1LHYiPKqruy+rr8duLfaotWzf1gOJtPKR4yz+joLdZ8zaU\n",
       "Ow3N62fmqJJnIYRojZn9RFQFoKRo7IWQpDL5yRpKkTAmKQUrt65cv3vTBxtOt/r0XZNzBuyM5vn0\n",
       "FOWMM6eddWzrxJkzv5P5wYqVe4YE096jFCX6gCNEFgXTOP8p7A+d+DwUfSN+rCvoVx26pjSxaWkA\n",
       "4LSmBj32YoduL/artj66qfsVX3OV4qvcYQk4ay0BV70j4Kz14SRnZQshRFcIJ5WVzEZJv3GXSFKZ\n",
       "5NhM7j8pklAmmfHZxWUAyk40ld0RFk3fuW3L1v847fQJNgDYtOkTf35p/8uyBg6c/dGnn+0Z78+4\n",
       "K11NjZupX58esHzcUD7Kz6bVnpm/16GmGN60bL8jt8SpZBcGUzLzNT3gVv3Nh1Vv1U4l4KjhgLvB\n",
       "7W+u8iI0jS0HcyFEj2LmQMtIpSSVIpFJQim+Rjd12thw8FSDYZ2QW7piyW9+O3zQsCGTAoGAVbGm\n",
       "2B9dtDAPAKoqKvMfe2D+zdNQ8FKsYnUF/apH19QmNqnG1BVHFj9x4R03jUtJz6R3/rh8izN74tWK\n",
       "okI/Wq26KrYpmqs+RXM3eryN5S3rIOVkGiFEzLUklURKab/TZnMkJ+qIxCNT3qLX0E2dNqU4n718\n",
       "zs8npWdkKH944393DWuy3tT3y0bfel/1Jb98fMGxel4lA0qVlPTUYvRQOd6Wk2dcelBtJOJmAO7U\n",
       "zIArv38zZxdo5pGPr5j/0IMThw4frhpBHQMHlU6+/647b65qcj8ZHoHUJIEUQsSrY0mlxVIa6dnf\n",
       "IrEk+0k5XXRahUgGG73V517/8xunnnveubapU6dY5y94eMzuFN/NZFFg12jzqn+srGlp++H6DR7T\n",
       "E9jUHXEYbMKh+dQKn8O2w3s07S/OijFr+uivHxoz4K3t/dKf/STDHmg+/QeH3IMmNAVT03V37T6F\n",
       "NFdJvr2Pmp5iQd/cLIwbO9qSlZGa7muqrGdmjySTQoh4x8z+hj3rqmq2rbBpnib5+5xk2DA7fTke\n",
       "IppFRLuJaB8R3X2c+0cS0cdE5Ceiu7r7/ckIZS9T7m7qU5uvzM/Lz82tr22oOcWpLChMy/YCAKWo\n",
       "eYUFBdaWtrm5uVCtah8YwBh7SfXmTVsX3Tf37utsNptSW1n10ZlKwV+6IiaPrimuoN/qYJOamKnJ\n",
       "YjEDadl+Z/YgB9Jz9H68b/GTz780ik0Dbrdr4C9vv+W5gx8uuzboc3i8DQd9ALTs7D4vLv/90gsf\n",
       "fvypAUSEhfMf0DUtKJ9vIURCCZcUOkwWtbjf+Et8KRm5yX0mh+gUIlIA/ArAuQhtZ72ZiFYw865W\n",
       "zRoB3AZgdk/EJH9we5m6AvXJxxctmJiZnomm5uYxD857OLUwgDkAUKRZP1i2dMmVD8x7sNSiEJYs\n",
       "Xtxg8+jvwBZ67ERrwQbUYwMQ6NCZ1q217H3tYsPSzEDL1LXXXuwI9ikMWFLSDYtiheZuVAKuOnJX\n",
       "bM2YdM7pOSoZsGVYkZdThFMGFWdt3fSHg22ees/Q4cPXPnz/PT/OyMig8757kVoycNAPbDbbK36/\n",
       "f0sUXSaEED0qvKNONVmU4v6nfV+KmSeJLl5DeQaA/cxcDgBEtBzAJQCOJZTMXA+gnoi+25UvfCKS\n",
       "UPYiuqnToEED+2emhyqC59rt6F9SXIIDoePVsMy+9Tu+OHTnnNtuu0VVVMVsdC0/3Va4vbOvp5k6\n",
       "eYKa6jQ0tQngRmaLO8Wm+bML3J7MPL/FYgUsiqn7HErA3cCB/WVkaF7ofpc34KzzGZonCCB4uCKv\n",
       "Li/P3l9RFLhdLhyuqqo53uvl5vVNn/fYE8d2EkhLS7fn9S34NgBJKIUQCSW893c1WdT+KZl5cb1D\n",
       "iohMF6+hLAZQ2ep2FYBJXfkCHSUJZS+iWlSuq6/3MBgEgskmGhsbvaUtQ5AAxmQWHYQP/w0ASE2P\n",
       "+LkNNuEOBlSHoalHmamJmVyKqnvSsn0OW5EOUkwiMvSAmzVnLQVr9hpG0B8IuOq8QU9TEEAQgH68\n",
       "2o/9i0uuue7KyxaXlAzIObB/X/WmjR9ec7wYHEeb16z74P3zZ5xzXgYA/O2dt6uqqyo3dKiThBAi\n",
       "TjCzW03NPJIzaEJprGMR0TM7sNX1zoAHn2snHZyOuzN8JKHsZYKHm56ZN3/BPaNOPTV7+/YdR+mI\n",
       "YyHSbO0/sBWDTXh1TXXpAfUoM9UbuqWJiD1qiu5MzfAaDN00gkE94DYNT5NuaD6/5mn0hxNHHaHE\n",
       "MeIzGKsPV+0EMLm9dnt373r5mYULiv/2p7fO83g8Ztn+fYuYue3UuBBCJAw94HaptqwKhH50i15i\n",
       "dGoGRqce21cEyz31bZscBtD6h0YpQqOUMSMJZS8zPqVgs7fCf/kXu9fkDs3IbbKltV+awq35lCbN\n",
       "m9ps6mqjoVuOsmFxEvmcDJ/PCAbB7Gc2vUFvcyDgrNUQThoBGD252wwzM4D7wxchhEgKut/ljnUM\n",
       "InpGB0YoI/ApgGFENAhANYArAFx5grY9smRCEspeKF1NNUZmFx77uaMZmkUzDItm6orfCCjugM/q\n",
       "DPoszbpGTboGFxt+F7PTxabLCPrdht/lB2AgBkmjEEIIkYi6cgklM+tEdCuAVQAUAEuZeRcR3Ri+\n",
       "/xUiKgKwGUA2AJOI7gAwipm75QeKJJRJik0DflNXDNMkzdQVkw0yTIOMYABsBGEG/dB1DZ6gT9UN\n",
       "jd16UG80Dd2tB1xNbLpqAQ8A2dNaCCGE6AJdPEIJZn4XwLtt/u2VVtdr8PVp8W4lCWUCCxpBtcZV\n",
       "l2boGh1wNxZ7rTwyxePfO9iaWqGahqGahpGma1q6GdSzNX/QzYbFAyjNANcAXA8EAoD3IOBxhdbn\n",
       "aJI8CiGEEKKjJKFMXP68I7tqRgCufxb3u+TMi2bOPffs6UXrNm7yb9u5y5GRZquv2r3v1QmH61Yc\n",
       "AqgKMB2AtwJw1wEaQsmjHus3IYQQQvQGSb7zoiSUCcwYCHimAL5tI0f89M6bri/SdB2DTxloW/Tr\n",
       "Jba5d95a+MKrb8xd8MqyfwHYDSAYPmlFCCGEED2sq6e8443sFZrAqgHrS0CG36paXRYLYM9BZlER\n",
       "sgoKUFRajMu/d1FRSb+i0cysSTIphBBCxI7Bnb8kAhmhTFz+/wEqAGgTqo+srairHzhx3OjUnbv2\n",
       "AkQgIqzesLG+6kiN7BIjhBBCxFiyj1BSPAxcEREzs2wt1UlEZBlz6oh7+vTJmuBye4ZPHD/W5nA4\n",
       "jW2f7/o0oAVWHaqq/hMz+2IdpxBCCNGT4iW/ICJeYh/R6cff0LwH8fA+TkZGKJNA+MzshS23iSj7\n",
       "nGlTVr/x8jNXGYbxo3sefeoWIjqbmb0xDFMIIYTotRJl6rqzZA1lEvr2yOFzlzy7aML4b4/C6WNH\n",
       "068XPTRp1PCht8Q6LiGEEKK3kjWUIuEoipKZlfnVHqDZWZlQVSUrhiEJIYQQvVqyr6GUEcokVHao\n",
       "4oU7HnikTNM0+P0B/GL+wn17D5T/NtZxCSGEECI5yQhlEnK63OW5OX1mzfzeVQ+YJps7d+95KBDQ\n",
       "qmMdlxBCCNFbJcrUdWdJQpmkmo469gG4NtZxCCGEECL5p7wloRRCCCGE6GbJPkIpayiFEEIIIURU\n",
       "ZIRSCCGEEKKbyZS3EEIIIYSISrJPeUtCKYQQQgjRzZJ9hFLWUAohhBBCiKjICKUQQgghRDczYx1A\n",
       "N5OEUgghhBCimyX7lLcklEIIIYQQ3UxOyhFCCCGEEFFJ9hFKOSlHCCGEEEJERUYohRBCCCG6WbJP\n",
       "eXd6hJKIconofSLaS0T/JKKc47QpJaI1RPQFEX1ORLdHF64QQgghROIxmDt9OR4imkVEu4loHxHd\n",
       "fYI2L4bv305E47vz/UUz5X0PgPeZeTiAD8K32woCmMPM3wIwGcAtRHRqFK8pwohoZqxjSDTSZx0j\n",
       "/dVx0mcdI/3VcdJnicvgzl/aIiIFwK8AzAIwCsCVbfMrIroAwFBmHgbgZwBe7s73F01CeTGA18LX\n",
       "XwMwu20DZq5h5m3h624AuwD0j+I1xVdmxjqABDQz1gEkmJmxDiABzYx1AAlmZqwDSEAzYx2AiAtn\n",
       "ANjPzOXMHASwHMAlbdocy9OYeROAHCIq7K6AollDWcjMteHrtQBOGiQRDQIwHsCmKF5TCCGEECLh\n",
       "dPFZ3sUAKlvdrgIwKYI2JQjlbF3upAklEb0PoOg4d93f+gYzMxGdsKeIKBPAnwDcER6pFEIIIYTo\n",
       "Nbr4pJxIn406+bgOI+5kxkxEuwHMZOYaIuoHYA0zjzxOOyuA/wPwLjM/f4LnSvJzn4QQQggRC8zc\n",
       "NqnqcV2R57R+H0Q0GcBDzDwrfPteACYzP9GqzW8BrGXm5eHbuwHMaDW73KWimfJeAeBaAE+E//vX\n",
       "tg2IiAAsBfDliZJJID7+ZwshhBBCdIduyHM+BTAsvJywGsAVAK5s02YFgFsBLA8noEe7K5kEohuh\n",
       "zAXwNoABAMoBXM7MR4moP4DFzPxdIjoLwHoAO/DVMOu9zPxe1JELIYQQQvRSRHQ+gOcBKACWMvMi\n",
       "IroRAJj5lXCbljPBPQCuY+Yt3RZPZxNKIYQQQgghgBhtvShF0SMXb4VL4117/UVEV4X7aQcRfURE\n",
       "Y2IRZzyJ5DMWbjeRiHQi+n5PxhdvIvxOziSireFj19oeDjHuRPC9zCei94hoW7jPfhKDMOMGES0j\n",
       "oloi2nmSNnLcD2uvv+S430OYuccvAJ4E8Mvw9bsBPH6cNkUAxoWvZwLYA+DUWMQbqwtCw9j7AQwC\n",
       "YAWwrW0fALgAwMrw9UkAPol13HHeX1MA9Alfn9Wb+yvSPmvVbjVCJ9hdGuu447m/AOQA+AJASfh2\n",
       "fqzjToA+ewjAopb+AtAIQI117DHss2kIldnbeYL75bjfsf6S434PXGIyQgkpih6puCtcGufa7S9m\n",
       "/piZHeGbmxCqydWbRfIZA4DbECr9Vd+TwcWhSPrrRwDeYeYqAGDmhh6OMd5E0mdHAGSHr2cDaGRm\n",
       "vQdjjCvMvAFA80mayHG/lfb6S477PSNWCaUURY/M8YqSFkfQprd+WSLpr9auB7CyWyOKf+32GREV\n",
       "I5QAtGzb1ZsXXkfyGRsGIDe8ZOdTIvpxj0UXnyLps8UAvkVE1QC2A7ijh2JLVHLc7zw57neTaMoG\n",
       "nZQURe8ScVe4NM5F/L6J6DsAfgrgzO4LJyFE0mfPA7gn/F0lfPPz1ptE0l9WAKcBOAdAOoCPiegT\n",
       "Zt7XrZHFr0j67D4A25h5JhENAfA+EY1lZlc3x5bI5LjfQXLc717dllAy83knui+8eLaIvyqKXneC\n",
       "dlYA7wB4g5m/UeeyFzgMoLTV7VKEfomerE1J+N96o0j6C+EF2YsBzGLmk00r9QaR9NkEhOqYAaH1\n",
       "becTUZCZV/RMiHElkv6qBNDAzD4APiJaD2AsgN6aUEbSZ1MBPAYAzHyAiA4CGIFQrT3xTXLc7yA5\n",
       "7ne/WE15txRFB6Isip7kjhUuJaIUhAqXtv0jvgLANcCxyvndWrg0zrXbX0Q0AMCfAVzNzPtjEGO8\n",
       "abfPmPkUZh7MzIMRmi24qZcmk0Bk38m/ATiLiBQiSkfopIkvezjOeBJJn+0GcC4AhNcCjgBQ1qNR\n",
       "JhY57neAHPd7RreNULbjcQBvE9H1CBdFB4DWRdERGpK+GsAOItoaflyvKorOzDoR3QpgFb4qXLqr\n",
       "deFSZl5JRBcQ0X6EC5fGMOSYiqS/ADwIwA7g5fCIW5CZz4hVzLEWYZ+JsAi/k7uJ6D2ENnQwETqm\n",
       "9dqEMsLP2EIArxLRdoQGOn7JzE0xCzrGiOgPAGYAyCeiSgDzEVpKIcf942ivvyDH/R4hhc2FEEII\n",
       "IURUYjXlLYQQQgghkoQklEIIIYQQIiqSUAohhBBCiKhIQimEEEIIIaIiCaUQQgghhIiKJJRCCCGE\n",
       "ECIqklAKIYQQQoioSEIphBBCCCGi8v8i6Bybd3A9VQAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108f6ca50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAtQAAAFrCAYAAADxWR7NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xu0ZHV54P3v003badBOcw5ZmADxnmDwiqOSsUc7QWzi\n",
       "uxKDzOgYHfGyjIY4R6cPbzQ9RphJJOYN3S9vJ2tEiQGSTGIuyojzKo3rjScXJ/HSiBAuivEygFFD\n",
       "t9qRSwv08/6xd3Hq1KlTteuy63a+n7V+65xdtWvXU7vqnHrqV8/v94vMRJIkSVJ/Now7AEmSJGma\n",
       "mVBLkiRJAzChliRJkgZgQi1JkiQNwIRakiRJGoAJtSRJkjSAY8YdQBUR4dx+kiRJGonMjF72n4qE\n",
       "Gnp/YBqeiLgoMy8adxzrked+vDz/4+X5Hx/P/Xh5/sern45cSz4kSZKkAZhQS5IkSQMwoVYVS+MO\n",
       "YB1bGncA69zSuANY55bGHcA6tjTuANa5pXEHoN5E5uSP94uItIZakiRJdesn77SHWpIkSRqACbUk\n",
       "SZI0ABNqSZIkaQAm1JIkSdIATKglSZKkAZhQS5IkSQMwoZYkSZIGYEItSZIkDcCEWpIkSRqACbUk\n",
       "SZI0ABNqSZIkaQAm1JIkSdIATKglSZKkAZhQS5IkSQMwoZYkSZIGYEItSZIkDcCEWpIkSRpArQl1\n",
       "RPx+RHwzIm7qsM++iLg9Ij4fEc+sMx5JkiRp2Oruob4COHutKyPixcATM/NJwC8C76k5HkmSJGmo\n",
       "ak2oM/NvgG932OXngKvKfT8FbIuIE+uMSZIkqS4RsTNi/rqixc7O+zzyQMTxBzrtq+lwzJjv/yTg\n",
       "jqbtO4GTgW+OJxxJkjSpiqRzbrHYOrQnM/e3u2x53+Muhs2Pgfu/DY84DBsOwqElmNvR2L/42djv\n",
       "oW/Dg4eLyzZR7t9yzLlFODoPDwCbDy4fo3H5safB3s3FZQvbI+Kcxu2Xj7H1anjtlqJP8RLW2lfT\n",
       "Y9wJNUC0bOdYopAkSbVaK/mtuP8SbH0H7N1SbC+cGRF/AFtf3nTZ9og4p/j92A/Dls1wHnDVfFPi\n",
       "eha8FngqcP7zgQ2wZVN5/Ty8GXgEsJfVx9x69fJ9XUBx7Pc8v0inGkn0BcCjgZ0AW2DXItD0OOcW\n",
       "i2NcQ3Gf5zWuaLOvpsW4E+q7gFOatk8uL1slIi5q2lzKzKX6wpIkScO03DO7Mvld3fsLy72+zfu/\n",
       "9Uy4dENTAroB3vqaInldlcACP7YZ3kSbxLXpssvKJPhNTddf1rLdfMy9W1Yf52mbW/YH3teIR1Mg\n",
       "InYAOwY5xrgT6msoPgp+ICLOAL6TmW3LPTLzolEGJknSele1RzkidsPcrnK/j8C2p8GGx8CRr8E9\n",
       "u4vbNXpmV/fItku2YcOtcGnT/pe1Gfd1avnzPMohWRPi6xTxLNwHh/esvO7QnuLxvWFL0Zvd0G5f\n",
       "jULZSbvU2I6IC3s9Rq0JdUT8CfAC4ISIuAO4kKIoicx8b2Z+NCJeHBFfAu6h+A5GkiSNSOca5EaS\n",
       "exPw/jMjjr8BvrO7pSZ4N2x9V1EicRNw+Wvg0vLaC+YhPxwRL4G5DlG0TbYfs3Kf5wELTdtvA14F\n",
       "fIWih/gi4JampPTG58MFZcnHisQVeANFwnvjEWADXLBp+fp/AHY17990zIXtRWywXPJx7ZEyrkbd\n",
       "9BF46GbYdRAOr/oQUtZ9nwNXLMKReXgrRa326n01PSJz8kuWIyIzs7XWWpIkDWA5ad7X6Bm+Dw6f\n",
       "UyR989fB3rOKcorzgN+idZ/iGPN3w975Yp9zKSbwaiTGV1GUUHzx40XPbLf7ar7dL18PG5/csv+f\n",
       "wrZXw6kbigT7j8p9v0GRwB565XgHJRbHNDGebv3kneMu+ZAkSWOzdhnG8j7vo0imBxs8t9wz26hH\n",
       "bu6RbZRB0JQ837O7+H3l/hHxAbjtYrjtGfD6DUUyvXAfHH5lcyJb/r5WjBe3bFd6LF2OaRK9jplQ\n",
       "S5KkJkfmix7jo/Nw/pFi0F0nh/bCwruK3x/HyrKMC4B7j8C9e2DthLRzss2qkgkerru+ot3+0shZ\n",
       "8iFJ0jq1uuTj/CNFX9u+pnrgI3fA5sfDvnJQ4MqSj/I4FQYlStOhn7zThFqSpHVs5aDEo/Nw6ekr\n",
       "a5l3lfXP1ghrfbCGWpIk9aS5DKMo9ei8j6TV2szpKEmSZkVE7I6Yv7tosbvz3of2FCUdV7E8j/Ih\n",
       "50aWurDkQ5KkGbU8R/S+8pIF4PB/zszWWS6ab9PT8uDSrLGGWpIkPWzlHNFQ1kQfzDx4wjjjkiZZ\n",
       "P3mnJR+SJE2piNgZMX9d0WJn5733Uyyyklu77yupF/ZQS5I0hTqtcti0T1ny0Vhq+xLW2ldSwVk+\n",
       "JElaN7qvcpiZF0cE8PsXwf+9adDVDiW1Z8mHJEkzrBiAGEvjjkOaZfZQS5I0lQ7tgYXtQHPJxxpT\n",
       "3PWyr6ReWUMtSdKU6mWKO6fDk6px2jxJkiRpAE6bJ0mSJI2YCbUkSetUb/NYS1qLJR+SJK1DVeax\n",
       "ltYj56GWJEkVdZ/HWlI1lnxIkiRJA7CHWpKkdcm5qaVhsYZakqR1yrmppdWch1qSJEkagPNQS5Ik\n",
       "SSNmQi1JkiQNwIRakqSauHCKtD5YQy1JUg1GvXCKAwyl4XBhF0mSJsboFk5ZTt73NpL37RHhqofS\n",
       "iJhQS5I09Vz1UBonE2pJkmrhwinSemENtSRJNRlVXfOo67WlWebCLpIkrVMOSpSGw4RakiRJGoAr\n",
       "JUqSJEkjZkItSZIkDcCEWpIkSRqACbUkSZI0ABNqSZIkaQAm1JIkSdIATKglSZKkAZhQS5IkSQMw\n",
       "oZYkaQARsTNi/rqixc5xxyNp9EyoJUnqU5FAb70aXnsW/NhZsO2jEbF73HFJGi2XHpckqU8R89cV\n",
       "yfQfAb9VXrpwFA6/ODP3jzM2Sf3pJ+88pq5gJElaHz5JkUyf17hgA+xaBEyopXXCkg9Jkvp2aA/c\n",
       "dnTcUUgaL0s+JEkaQFEzvfXXYV/ZSbVwHxw+x5IPaTr1k3fWmlBHxNnApcBG4Pcy87darj+BovDs\n",
       "0RTlJ5dk5pVtjmNCLUmaWMXgxLnFYuvQHpNpaXpNVEIdERuBLwAvBO4CPgO8IjNvbdrnImBzZv5q\n",
       "mVx/ATgxMx9sOZYJtSRJkmrXT95ZZw31c4AvZeZXM/MB4APAS1r2+Sdga/n7VuBgazItSZIkTbI6\n",
       "E+qTgDuatu8sL2t2OXBaRHwd+DzwlhrjkSRppFz0RVof6pw2r0otyW7ghszcERFPAD4eEU/PzH+p\n",
       "MS5Jkmq3vOjL3i3FJQvbI8LBitIMqjOhvgs4pWn7FIpe6mb/GngXQGb+Y0R8Bfhx4LOtByvrrRuW\n",
       "MnNpmMFKkjRcc4tFMv3w/NRbnJ9amjwRsQPYMcgx6kyoPws8KSIeC3wdeDnwipZ9bqMYtPjJiDiR\n",
       "Ipn+cruDZeZFdQUqSZKk9anspF1qbEfEhb0eo7aEOjMfjIg3U3wS3wi8PzNvjYg3lte/F7gYuCIi\n",
       "Pk9Rz/0rmXmorpgkSRqdQ3tgYTvQKPm4Dw7vGWtIkmrhwi6SJNXE+aml6TNR81APkwm1JEmSRmHS\n",
       "5qGWJEmSZp4JtSRJkjQAE2pJkiRpACbUkiRJ0gBMqCVJkqQBmFBLkiRJAzChliRJkgZgQi1JkiQN\n",
       "wIRakiRJGkDXhDoiFiLi+FEEI0mSJE2bKj3UJwKfiYg/i4izI8IlwCVJkqRSZGb3nSI2AC8CXgP8\n",
       "K+DPgPdn5j/WGt3y/fe8prokSZLUq37yzko11Jl5FPgG8E3gIeB44C8i4rd7jlKSJEmaIV17qCPi\n",
       "LcCrgYPA7wFXZ+YDZa/17Zn5hNqDtIdakiRJI9BP3nlMhX3mgJdm5teaL8zMoxHxs73cmSRJkjRr\n",
       "qpR8PKE1mY6IPwTIzFtqiUqSJEmaElUS6tOaNyLiGOBZ9YQjSZIkTZc1E+qI2B0R/wI8NSL+pdGA\n",
       "bwHXjCxCSZIkaYJVGZT47sx8+4jiWSsGByVKkiSpdv3knWsm1BFxambeFhHPAlbtlJnX9xdm70yo\n",
       "JUmSNArDTqgvz8w3RMQS7RPqn+oryj6YUEuSJGkUhppQTxITaklSHSJiJ8wtFluH9mTm/vFGJGnc\n",
       "ht1DfS5teqYbMvNDvYXXPxNqSdKwFcn01qth35bikoX74PA5JtXS+jbshV1+lg4JNTCyhFqSpOGb\n",
       "W4S9W+C8xgVbYNciYEItqSdrJtSZ+ZoRxiFJkiRNpTUT6oh4VWb+UUQsUvRUR/PPzNw7ohglSarB\n",
       "oT2wsB1oLvnYM9aQJE2lTiUfx5U/H8XK0o+gcymIJEkTLzP3R8Q5ZZkHcNhBiZL64iwfkiRJUqmf\n",
       "vHPNpcebDvqEiPhIRNwdEf8cER+OiMf3H6YkSZI0O7om1MAfA38G/DDwI8CfA39SZ1CSJEnStOha\n",
       "8hERN2bm01ou+3xmPr3WyFbenyUfkiRJqt1Q56GOiDmKAYgfi4hfZblX+uXAx/qOUpIkSZohnVZK\n",
       "/CrtZ/NoTJv3uBrjao3FHmpJkiTVbqhLj08SE2pJkiSNwrCXHm8+8FOAnwB+oHFZZv5Bb+FJkiRJ\n",
       "s6drQh0RFwEvAE4D/l/gZ4C/BUyoJUmStO5VmTbv3wIvBP4pM18LPB3YVmtUkiRJ0pSoklDfl5kP\n",
       "AQ9GxA8C3wJOqTcsSZIkaTpUqaH+TEQcD1wOfBa4B/hftUYlSZIkTYmeZvmIiMcCWzPzxroCWuN+\n",
       "neVDkiRJtatllo+ICOClwHaKean/BhhpQi1JkiRNqipLj78HeALFSokBvAz4cmaeX394D8dgD7Uk\n",
       "SZJqV8vCLhFxG/ATmXm03N4A3JKZp/YdaY9MqCVJkjQK/eSdVWb5+BLwo03bP1peJkmSJK17a9ZQ\n",
       "R8RHyl8fBdwaEZ+mqKF+DvCZEcQmSZIkTbxOgxL3tGw3akOi6XdJkiRpXVuz5CMzlxoNuA3YStFb\n",
       "fUtm/lWVg0fE2RFxW0TcHhFvW2OfHRHxuYj4h4hY6v0hSJI0HSJiZ8T8dUWLneOOR9JwVBmU+DLg\n",
       "t4FGEv184P/MzD/vcruNwBcoli2/i6JM5BWZeWvTPtuATwI7M/POiDghM+9ucywHJUqSplqRQG+9\n",
       "GvZtKS5ZuA8On5OZ+8cbmaRmtcxDDbwDeHZmfqu8kx8C/j+gY0JNUWv9pcz8anm7DwAvAW5t2ucX\n",
       "gA9m5p0A7ZJpSZJmw9wi7N0C5zUu2AK7FgETamnKVZnlI4B/bto+WF7WzUnAHU3bd5aXNXsSMBcR\n",
       "n4iIz0bEf6hwXEmSJGliVOmhvhbYHxF/TJFIvxz4WIXbVRm4uAk4HTgTOBb4u4j4+8y8vXXHiLio\n",
       "abNR2y1J0pQ4tAcWtgPNJR+tEwBIGrGI2AHsGOQYHRPqctnx3wGeDTyvvPi9mXl1hWPfBZzStH0K\n",
       "RS91szuAuzPzPuC+iPhr4OnAqoQ6My+qcJ+SJE2kzNwfEeeUZR7A4T3WT0vjV3bSLjW2I+LCXo/R\n",
       "cVBimVDflJlP6fnAEcdQDEo8E/g68GlWD0o8FfhdYCewGfgU8PLMvKXlWA5KlCRJUu2GPigxMzMi\n",
       "DkTEczLz070cODMfjIg3Uwy22Ai8PzNvjYg3lte/NzNvi4hrgRuBo8Dlrcm0JEmSNMmqTJv3BeCJ\n",
       "wNeAe8qLMzOfVnNszTHYQy1JkqTa1TVtXmPi+eaVEiVJLYp5hufK+thD1sdK0jrRtYcaICKeBWyn\n",
       "KMv4ZGZeX3dgLfdvD7WkieaiHZI0G/rJO7vOQx0R7wSuBOaAHwKuiIhf6ytCSSu4DPEsmVsskunz\n",
       "KNq+Lcu91dX5mpCk6VOl5ONVwNMy836AiPhN4PPAr9cZmDTrlns09zZ6NLdHhD2aM2E/cBnA6RGx\n",
       "s+pz6mtCkqZTlZUS7+LhSegB+AFWzyctqWfHXQw/sQWuAR5Nvz2amhSH9hRlHhdQ9EO8Cdg7D1uv\n",
       "rt7TPJxebknSaFVJqA8DN0fElRFxJfAPwHcj4nciYl+t0Wni+fX0sl7ORXH9xmcUSdfPUSRPN40k\n",
       "TtWj6EU+fA5ccRAuwaRYktaPKiUfV5cNipk+lsqfQbXlxTWj/Hp6We/nYm4R9m4oEq6Gtx6F77gM\n",
       "8RQrVsKbvx44q78juDS1JE2jrgl1Zl45gjg0wdaeCmxusUggH04Kt5RL6q67hHpI5+KG9fhhZPb0\n",
       "nxS7NLUkTacqPdRax+yFrkvbpGv3WEPSUAyaFJf7DvT35XzYkjRaleahHjfnoR6fiPnrYO9Zyz2v\n",
       "VwG7Pp558EXOu7usn3Nh0qM6TPLfpa95SdOglpUSI+LfZeafd7tM649fTy/r51wMoydSg5u9JG8y\n",
       "S7H8tkvSLKtS8rEbaE2e212mmdS5HtSkcJnnYnz6TYonIcmbvYR+LZOZ6EvSMKyZUEfEzwAvBk4q\n",
       "p8drdH0/CnhgBLFpAtgL3Zs6kqNOx2y9rvi5HpKzZYMlxeNN8upJ6J0pRJJGrVMP9deBA8BLyp+N\n",
       "hPow8J9qjksTxJ7XaupIjjodc/V15z+/+JPeu3lY9z8dprnnc/ixT+6H4FWJ/lE4vNTLESa9N3/S\n",
       "45NUo8zs2IBN3fapuxVhjjcGm61dA3bC3HVF23YArkzIsl2ZMHfdYMefu26tY66+7owc9v1PQ+t8\n",
       "jpqfH3a2f/623lvc5sosfl+933BeHyuPW153d/G8XbsunjNgN2x7qHjMiw+f727P0yieq+E815Mb\n",
       "n81mq976yTur1FA/NyIuBB7Lco92Zubj+03itT7MSm/NWo9jdQ/xW4+2ufnpxUwp0/v4J1/7Eocq\n",
       "3xhkl97cQV7DvX278CqKXurLZ7w8Y27HygWNnroFfvli2Pjk7t/sTPo3EZMen6Q6VUmo3w+8Fbge\n",
       "eKjecDQr2iQTZ0bEr2XmxeONrDedk7LWN9CbNhRfY7Oh3Bd4wzw89az+yy8OLcFC06p7Cyx/Td6a\n",
       "SN54BM7fAJdtWt6+d4aTs0KbpHipTIJPr5Lg5BolTYOX8HRKsFZdB+w6CIdfOWsfvFZ+KDkyv3qP\n",
       "zY8xEZU07aok1N/JzI/VHokmUv89dKsShg3w1l+PiAPTkDAsP+65SklZ4anAQzcUiRGnF8n0JRVu\n",
       "13qfsHyu53bAa4Fryr3eAFyxA7h4dSJ57xJsfSe8qdx3oZ+HXjGu7teNUiMpXpkEXzbgUUfe43j9\n",
       "NPxt9CIidsPWXy96pQEWjsD5R4BGnf99sOFrQJtEu1V/gy1H9xp1MKi0rlWoI3k38NvATwKnN9qk\n",
       "17LYhnLe+64JXFnXem1Z33tywnEHhhdb55rL4TzudnXJ2w4s10wfe3+789OprreXc73Wcdo9/l7v\n",
       "c9DXwCCvj7qe39WvuxOy3/j6OZ8tce8ex7mblFY8xm0PFY/v2oSXln9Px97e/Nz2ci56fV2M+jzX\n",
       "+X/JZrONrvWTd1Y56BLwidY26Q/MNozz3n+CVr6RPVQMPJprTmqODvpG0++bZNU3uy5J2VHY/P2m\n",
       "7fvhuAOtx+w1xs6J86rjtE3U6kmoexkUufb99ZJoDO+DXGb5+ru7+v32l+h1iHt3l0GJM5t8FY+r\n",
       "MfjwxOa/oYd6ORf9Xtfra9Rms9karZaEehKaCfW4znu7WSu2Ve5hLpKJbdnpGNWT3Ob9jr29v57D\n",
       "qr1grW/C52bxOBrJwQlZZVaG3pLI6jNV9Jh895SoVbyvuzvManL36g8W2w7AcQ/BU8pzeOz9nXsg\n",
       "H/ndYr+Xlue55w9yHXqFOyVm7T6kDOc5HM/fb7tvMUaXxBf3sZgw3+Z/QLW/me7PZ+fXe+fX7+x9\n",
       "iLHZbMNpdfVQP5piYOK15fZPAK+f9AdmG8Z5P+7Ayt7ZE7JRslH1zRqOP9zuDW15/xVviA8VSXjr\n",
       "1+bHHSiue3i/MrFdccyO06T13pvaHFfja+vm2750qEnTYAn/lbncS37cgeWSlH6S6a694eW5v7JM\n",
       "jLc2lbzMJZxanq/G87j13uUPIatfR6vv/9j7lz+EXZlFz+ZiT+d47dfm2ud3GMnwJCXUFZ/LEZQ/\n",
       "bL23+CDV/by0j/m4NaeirHK+y8ec7V+/s1dmY7PZhtPqSqivBV4O3FhubwL+YdIfmG0Y573Rw/TS\n",
       "shWJTftE+Njb29UTt0/KH/ndtXs4tz20fJxzyzfAdnXM87ny/rv1ZvVT09xpfukzVt3HEF7nO6sk\n",
       "xWWS0PQBozWx7S+mzj3fc9cVPXutH2SOO1B8aHpKrkyEtz5UXLeY8IR2CdXd7XvD29asryoRGNZj\n",
       "q3p99edvMuqi1+6Z7fj81jEeYXfx7cSK10bbbyg6x9xcg934UF8loW7+H/aE8n/Kyv9n43h+bDbb\n",
       "ZLd+8s4qs3yckJl/GhFvL+/hgYh4sMLtNPUO7YHLt8O+llHr7WbweMcTi0U0H02R2zZmRDi0G/LD\n",
       "cFk5qv9e4Je2FlPJtZu3+dQNwObiOEvAPpZnuGj2lPLyrwMP3ZCZ+4v5ntealaG3EfjZNJVaMUvA\n",
       "wtVNtz0CD91cTnM2tFkDiscQFLNUXLpiqrbi97lFODoPx54Gb9hQzGJx21HYdAf8P0+sazaKfHgG\n",
       "jfnriudtxbVbgUfBd4DX0zKry5PgKuCJ5UX7gfdRPGf3bIWtH25e1RGO3LpGBF8e1jlup5iJ4pHP\n",
       "XTkrSu8zNOSIVygczuwVR+aHv/R5s8a8049m+bk/cgfMLUbML64d936K13c+At74ADxq0/KMOQun\n",
       "FY+din/TT6W47Xbgr1g+zgW0n8ZPkvpQIUtfopjS6HPl9hnAX036JwXb0M59xdkkzih7n5+3qreI\n",
       "NXs4F3Pl17GNr/cb9bON3sprs2VQU7b72nZlXI2ZRZZrelseyxVlLeXdwO7uj3k0tadrl3M093yu\n",
       "quFu2/PYx/PbsSSAVT2wx95fDNJcK65Guc+1CT+YK7+paF9bXxyzeRDrCdmu5rrX52N17A/XSDeV\n",
       "BCyWcf3g7XU+x0P6W+zxuVqr5GP4q3t2fj0vZkv5VnNN9O7i24hTk1UDmXsr8Wp/HtqVnlQfE2Kz\n",
       "2dZP6yfvrHLQZwH/C/hu+fN24OmT/sBstT4fLW/WJ+by4LGT277BF7drlyxuvr1lKeL7iwSqdXaA\n",
       "RrKz7cBayfByXK01uytn4qBtXWVxnLUSr9Gd26pf1TfXcLcm3N1j5uFynFXJze6VSVunDxbdSmGa\n",
       "619PaUlm2i+TToVBiZ2eo04J1hofDtt9GLl73H9j3f/mGjPorDx/3R9vtQGu9cXdbjxCaxlZu9fG\n",
       "GZVi7PKY+/7gabPZ1lerJaEuD7wJOI3ie/ZN0/DAbLU/JzuLHsgzcmWv5LbDnWt/VyTPbWdSWJns\n",
       "NXqsWwe6deqZa/fG2ZzobeswUHK8A8tWfihoPO52s5qsrOHupcd2+T7aJ7Ur91nVo9t0P+0GjB2f\n",
       "5Yeelpr2k1vuazGLXut2SXF/9c79fBianoR6rW+FmrcbHxqrf4syig+Q3T+ENa5rXP7SNq/LbW17\n",
       "tXt5LOP+sGyz2aan1dVDfQzwEuAtwGLZdk36A7ON5HnZ2TIYrst0aKtn9Oh+/CrlJu0GInXq0T3+\n",
       "+5OQUK+VBLNq0GGj1759j3vv99t4jO0Sl04zKKzqCW+Na9VzuvwYN9+++luBTQ+0G3zZPTFaK6Gu\n",
       "NOtD64e3dt9WXDGK8p7+nrPmx7ZtKANTe/kwNqT/GV3mUG+7IM+qb0uqnaPuvfY2m83W2upKqD8G\n",
       "fAj4L8CFjTbpD8w2suem4jzSw0lUq79pdqo5PrZNcjfako9O97NG8tRz72P3c7iqNr1bL3Gb3tzj\n",
       "D1dN7ouk6PjDxQeazR3rlDu9rqolZatfGx163Xc3lRBdMYm9mGvE3pRk1lsLXfW56ff2qx/fsff3\n",
       "Ov3juL9dstlss9PqSqhvnMYHZpusNryEulrCu/ym3X558JYkquugxFGej9HWtS5m0dO57QCr6qer\n",
       "DGA7YyxJZ7WkrPe5pic5Kev8IaPzgNx6XjvD/cDR79/d8u2OOzCM6SNtNputroT6knH/UzKhnv42\n",
       "zDfiXt94J/Fr3s4J9fCTltZz0H6787LZq/dpHow6MSsCrlkaMO0Jdfdz0HZAbpvBwf3/PUza+RlG\n",
       "z7bNZrO1troS6pdSTB58P/AvZTs86Q/MNnltEhPbMT7+Nj3AqwZXDqnEo3uCXjVR4uFBn62DUSdq\n",
       "RcCqdfxrJJuTV/JR8VzsXmN8QKUZUqrdR+vrZLHsCR/d3/TKv43RlbrYbLb10+pKqL8KPA3YME0P\n",
       "zGYbV+uhHKHrQKvhxDPcntlJSjp77TGt8kFlGj/4LT8na8/c0s/56vzct84jP9ze8GqvvfbT8A3y\n",
       "/NtsNls/eWeVlRL/N3BzZrZZ1U5Ss2IFt9Urz7F6dcktsGtH5sEXjSvWlaqvJJkjXhFwmLJpBcxB\n",
       "9pk8jdfXo2l6jdHPio+dtDz3p8O++bVW6Fzrb2Gw10rz43wfcPIGOP8osKG8jzUfbz3xSFKhSkL9\n",
       "FeATEfEx4PvlZZmZe+sLS5pWbRPnxXFGVCVZ7jVJnpyks7cl5WffTorl3i8CvngQDr9y5fM4+PnK\n",
       "FUvRc9bae675tzDg6+Ym4G3Ab5XbCwG/fD1sPtj5dVtXPJJUPaH+CvCIsgWQdQYlzZ7xJX5Vk+XJ\n",
       "SZKrm+be8uFqfX3dct/qZHrY52scr+lDe+D9Z8KlG5oS44BdByfn2x5J61GUtSITLSIyM2PccUjd\n",
       "LH+tvK85yTinTGR2Fr1kAIfWaeKnZsN8TbQcawnmdgxy3Cqxtdtn+bIj87DxNNi3ubh++W+h11hW\n",
       "3ufxB+DS05cT6quAXR/vllB3+tscJB5Js6efvLNrQh0RPw5cADyW5R7tzMyf7ifIfphQa5qslYiY\n",
       "UKtZXQleP8dtfW0WP3uPbfV9n38EHnEzbDg4rNf8IOfNv0FJVdSVUN8IvAe4HniovDgz80BfUfbB\n",
       "hHpyDbtXbFbZOzbb+knUihrkvWf12tPa7T57PW771+aGW/vrBR7sMVVlYiypTv3knVVqqB/IzPf0\n",
       "GZNm2MpR8zcBl58FjbGqjqBfyQFRs2ocs0cM9z7bvjYfM6xY61B3vb8Ju6ReVUmoPxIRvwx8CDjS\n",
       "uDAzD9U+zU3xAAAWUUlEQVQWlSZe+Ybz3+HHyimsrgH2MQsJ4zDeTFd/hT43zBA1Udp/WIoIOr+O\n",
       "BhnU1+kD2jAGCx75Giwc2/sxpn/WFafXk9SPKgn1ayhm9big5fLHDT0aTYXVbzjnAaeONaZhGcab\n",
       "abtjwKHfmPZEQ704Ot/tdbRyxo0j87AJmFuMCAZJ3nqfyaNdEnzP7uL33mYDmY1ZVyb32yR7zqUJ\n",
       "Ns6VaKo2XClxolr71dZO7bpq2jS0QVeS63QMXKVtJhttV448rvKS2O1v3/n10c9tuh/vuAPFMuLb\n",
       "Dqzn1+cw/geM7nW2fp8nm63O1k/e2bWHOiLOZfW8098FbsrMbw2SzGuWfOsgHN4Lu3YU29PYM1Wv\n",
       "nMJ5ntVdtumVXe5FrKL3HtF29zn439vGJ5c96vOwcPX6LXOY1LKVye05l1St5ON1wE8Cn6BY1OUF\n",
       "FDN+PC4i/mtm/kGN8WkitX3DaSwicfE4IxvcMN5MJ/UNWXVp/bBU1E/X+xoY7gc0k7WGej6sSJp1\n",
       "VRLqTcCTM/ObABFxIvCHwHOBvwZMqNeZWX7DGcZjm+Xzo2p6ew1Mzwewaazh7Sfmyfw2aXpeJ9J6\n",
       "VGUe6lsz88lN2wHckplPjojPZeYzO9z2bOBSYCPwe5n5W2vs92zg74CXZeaH2lyf6TzUkmbUoInq\n",
       "cG7feZ70aZxLfRpj7mQaP9BI06iuhV3+G/AY4M8oSj7OBe6kmPXjf2bmT61xu43AF4AXAncBnwFe\n",
       "kZm3ttnv48C9wBWZ+cFhPDBJWg+GlTR2S9ZGtWjLME1jzJLGr66FXd4MvBTYTjE48Srgg1lk4m2T\n",
       "6dJzgC9l5lfL4D4AvAS4tWW//wj8BfDsXgKXJMGw6p8ns8xBkqZD14Q6M49SJLx/0eOxTwLuaNq+\n",
       "k6Lu+mERcRJFkv3TFAl15+5ySdKYTGMN7zTGXLC8Q5ouaybUEfHJzHxeRHyP1YluZubWLseukhxf\n",
       "Crw9M7OszbasQ5J6MpqkcRoH205jzOBqjdI06lpD3feBI84ALsrMs8vtXwWONg9MjIgvs5xEn0BR\n",
       "R/2GzLym5VgJ/Jemi5Yyc6mWwCVpytibOVus/ZZGKyJ2ADuaLrpw6DXUEfEE4K7MvD8ifgp4KvAH\n",
       "mfmdLjf9LPCkiHgs8HXg5cArmnfIzMc33c8VwEdak+mmfS/qFqskrUfWP0tS/8pO2qXGdkRc2Osx\n",
       "NlTY50PAgxHxROC9wCnAH1cI7kGKAY37gVuAP83MWyPijRHxxl4DlSRpfTi0pyjduYqiLdxXXCZp\n",
       "UlWZNu9zmfnMiPgV4L7M/J1u808Pm9PmSZLWE8t4pPGpa9q870fELwCvBn62HDy4qZ8AJUlSd5bx\n",
       "SNOlSsnH64AzgHdl5leAx1IsPS5J0kyKiJ0R89cVLXaOOx5Jk62nWT4iYg44OTNvrC+ktvdryYck\n",
       "aSRmbclySb2ppeQjIv4K+Nly3wPAP5dzVP+n/sKUJGmSDWf1SUnrR5WSjx/MzMMUy4//QWY+B3hh\n",
       "vWFJkiRJ06HKoMSNEfHDwMuAd5SXuUS4JGlGTe+S5ZLGo0pC/V8pvub6ZGZ+ulzo5fZ6w5IkaTym\n",
       "dclySeNT29Ljw+SgREmSJI1CXYMStwCvB36Ch7/+IjPzdb2HKEmSJM2WKoMS/xA4ETibYp3zk4Hv\n",
       "1RiTJEmSNDWqLD1+Q2Y+IyJuzMynRcQm4G8z87mjCdGSD0mSJI1GP3lnlR7q75c/vxsRTwW2AT/U\n",
       "a3CSJEnSLKoyy8fl5QqJ7wCuAR4J/FqtUUmSJElTwlk+JEmSpFJdJR+SJEmS1mBCLUmSJA3AhFqS\n",
       "JEkaQMdBiRGxjWL+6ZPKi+4E9mfmd+oOTJIkSZoGa/ZQR8SrgQPADooVErcAPw1cHxHnjSQ6SZIk\n",
       "acKtOctHRHwReE5rb3REHA98OjOfNIL4GvfpLB+SpIkTETthbrHYOrQnM/ePNyJJg+on76wyD3Wr\n",
       "yZ9nT5KkmhXJ9NarYe+W4pKF7RFxjkm1tP50SqjfBRyIiOsoaqcBTgFeBPx63YFJkjTZ5haLZPrh\n",
       "KsgtsGsRMKGW1pk1a6gz8yrg2cBfA/eXbQl4VmZeMZLoJEmSpAnnSomSJPVhueRjX6Pk4z44bMmH\n",
       "NOX6yTtNqCVJ6pODEqXZ49LjkiSNUJFAH9pTbM0tFgm2pPWmYw91RDwTeAJwc2beOrKoVsdhD7Uk\n",
       "aeJY9iHNnqH2UEfEO4E/Bc4FPhoRvzhgfJIkzZi5xSKZPo+i7duyXAIiab3oNG3evweekZn3RsQ8\n",
       "xTRA7xtNWJIkSdJ06JRQH8nMewEy82BEWG8tSdIKh/bAwnagueRjz1hDkjRynZYe/y7FHNQN/wb4\n",
       "m/L3zMyfqzm25lisoZYkTSRn+pBmy1CnzYuIHR1ul5n5V73c0SBMqCVJkjQKzkMtSZIkDWDYs3z8\n",
       "fES8uWn70xHxlbL9u0EClSRJkmZFp4GGvwJc07T9COBfAS8AfqnOoCRJkqRp0WmWj0dk5v9u2v7b\n",
       "zDwIHIyI42qOS5IkSZoKnXqoj2/eyMw3N23+UD3hSJIkSdOlU0L9qXarI0bEm4BP1ReSJEmSND06\n",
       "TZt3IvA/gCPA9eXFpwM/APx8Zn5jJBHiLB+SJEkajaFPmxcRAfw0cBqQwM2Z+ZcDRdkHE2pJkiSN\n",
       "gvNQS5IkSQMY6jzUkiRJkrozoZYkSZIGYEItSZIkDcCEWpK0rkXEzoj564oWO8cdj6Tp46BESdK6\n",
       "VSTQW6+GfVuKSxbug8PnZOb+8UYmaVz6yTs7LT0uSdKMm1uEvVvgvMYFW2DXImBCLamy2ks+IuLs\n",
       "iLgtIm6PiLe1uf6VEfH5iLgxIj4ZEU+rOyZJkiRpWGrtoY6IjcDvAi8E7gI+ExHXZOatTbt9GXh+\n",
       "Zn43Is4G3gecUWdckiQVDu2Bhe1Ac8nHnrGGJGnq1FpDHRE/CVyYmWeX228HyMx3r7H/8cBNmXly\n",
       "y+XWUEuSalHUUc8tFluH9lg/La1vk1hDfRJwR9P2ncBzO+z/euCjtUYkSVKTMoE2iZbUt7oT6srd\n",
       "3xHxU8DrgOfVF44kSZI0XHUn1HcBpzRtn0LRS71CORDxcuDszPx2uwNFxEVNm0uZuTS8MCVJkrQe\n",
       "RcQOYMdAx6i5hvoY4AvAmcDXgU8Dr2gelBgRPwr8JfCqzPz7NY5jDbUkSZJqN3E11Jn5YES8maI2\n",
       "bSPw/sy8NSLeWF7/XuCdwPHAeyIC4IHMfE6dcUmSJEnD4kqJkiRJUqmfvLP2hV0kSZKkWWZCLUmS\n",
       "JA3AhFqSpDGLiJ0R89cVLXaOOx5JvbGGWpKkMSoS6K1Xw77m5c/PccVGaTysoZYkaQwG62GeWyyS\n",
       "6fMo2r4ty0uhS5oGdS/sIknSTFvuYd7b6GHeHhH2MEvriAm1JEkDmVsskunzGhdsgV2LFGswVHBo\n",
       "DyxsL24HZcnHnuHHKakuJtSSJI1RZu6PiHPKJBw4vMfebWm6OChRkqQBOKhQmi395J0m1JIkDahI\n",
       "qhsDCQ/ZwyxNMWf5kCRpDIoE+lBZ9zy3OMy5pJ2jWpp89lBLkjSguso+LCeRRq+fvNNBiZIkDWzQ\n",
       "mT5GfVxJw2TJhyRJkjQAe6glSRpYXXNJO0e1NA2soZYkaQjqmunDGUSk0XLaPEmSJGkATpsnSZIk\n",
       "jZgJtSRJkjQAE2pJksbABVuk2WENtSRJI+aCLdLkcmEXSZKmQrsFW956MS7YIk0lSz4kSRqb/cC5\n",
       "wGXAA8+w9EOaTpZ8SJI0YkXifOxH4dgNcEl56S7gyPWZ33vWOGOT1jtLPiRJmgKZuT/i+Hvgkkc1\n",
       "lX0Aux4ztqAk9c2SD0mSxuP21Rcd/drow5A0KHuoJUkakZXLiH/ng7BwGrC52F44Aod3jy04SX2z\n",
       "hlqSpBFYY6q834C5HcX2oT1OmyeNnzXUkiRNrHZT5e3akXnwReOMStLgrKGWJEmSBmAPtSRJI3Fo\n",
       "DyxsB5pLPvYMetSVddmWjUjjYA21JEkjMuzk1yXMpeHrJ+80oZYkaUpFzF8He89arsu+Ctj1ceuy\n",
       "pf71k3daQy1JkiQNwBpqSZImVPcSkXrqsiX1xpIPSZImUNX6aAclSsNlDbUkSTOi3/poE2xpMC7s\n",
       "IknSOrbcq7230au9PSJcjVGqmT3UkiRNoH6mxGvfq/3Wo3DphqrHkNY7e6glSZoRmbk/Is6BXWX5\n",
       "xuE+e5dP3dCy3Pki0PNxLCWR1mZCLUnShCqT1h4S11WzfhyFNww8Re4apST2dEslSz4kSZohLT3J\n",
       "S7D1Hb2Vjazuie51gKS92ZpmlnxIkrTOtfZqR8SBqmUjq3uiz39+xPE3w4bHwE2V7t/ebK1HJtSS\n",
       "JM2w3spG5haLRPi88ibHboZLTi+uWyj3eSqdF5BpPgYwQN22NC1MqCVJUhvvAy6hKTEGdh0Eru8+\n",
       "QPIm4Nzy98fVFaA0MQYeqCBJkmbFoT1F7/NVwNfbXH/0a8XPucWitGNZROwsaq2/dxpcDvxc2S4H\n",
       "Dt1VXH/8gYj5uyOOuz3iB24vfj/+QOuxpGnjoERJkvSw5QGFR+Zh42mwb3NxzcIReBD4b43thwc4\n",
       "rpwz+zLgTawcwPiWo5AJ+zYWl+0C7gd+ibKE5Agcfol11poE/eSdtfZQR8TZEXFbRNweEW9bY599\n",
       "5fWfj4hn1hmPJEnqLDP3Zx58Ueb3ngWHXwK7Pl60h24ukunzKNq+LcszecwtFtvnAT/S5qhbNhTJ\n",
       "dOO2e4HHA19pHGvz8rFWavR8F619r3jEIw+Uvd+r9pFGobYa6ojYCPwu8ELgLuAzEXFNZt7atM+L\n",
       "gSdm5pMi4rnAe4Az6opJkiRV1zygsSjnqOIXgX/ftP024KE2+32n65E6zRiyfN1rtxS94JeUt1o4\n",
       "M+KRN8A9u4vt5en7WraXYNu5xQwm938b4nBx+SZgw8Hm6f4GmQaw9batMdkrPxtqK/mIiJ8ELszM\n",
       "s8vttwNk5rub9rkM+ERm/mm5fRvwgsz8ZsuxLPmQJGmMOi2Fvvq684EfAH4MeB5w2dGil7qR9F4A\n",
       "3EdRGrJ2yUen+a+Xr7uGola7eZ/LgFtaSlTOP1L0I+7bXAyavBzY1xTPvWXMe2l+fMXvvS0B3+Gc\n",
       "tcT0xgfg2PvhgYSN34KNXzHJHr9Jm4f6JOCOpu07gedW2Odk4JtIkqSJ0Wkp9JXXHZ2HAI4AtwFf\n",
       "PAj3LEG+Ey4rE8l7E77/T3DF5mKg4+Hdw00ifwR40+YisW4k2pdtXq7tPpcimW6eweQdwG/QZro/\n",
       "+p8GcNUUgk0xvQvYvAlet6nsYd8KPNF5u6dTnQl11a7v1k8Akz9KUpKkdajTnNbd5rsuFpj5Ypmg\n",
       "3luxF3bVUupN8183rnvDlqKHueFtFAnqN7offqyuoEjqr6FlekLn7Z5CdSbUdwGnNG2fQtED3Wmf\n",
       "k8vLVomIi5o2lzJzafAQJUnSKPS2wMzybbr3il9Rzkjylq0Qj4fXbyiS6UZ5xVVlr/iNR8rFaTYX\n",
       "c2MvNN1To+RjV9Nlzcn7Wkl9N6s+EDTFdKSXU6EaRcQOYMdAx6ixhvoY4AvAmRSTWX4aeEWbQYlv\n",
       "zswXR8QZwKWZuWpQojXUkiSpm24DAFu2l8Y7KPGex8HmJ8IbaBlUWblGW/XoJ++sdR7qiPgZ4FJg\n",
       "I/D+zPzNiHgjQGa+t9znd4GzgXuA12bm9W2OY0ItSZJmSkTshrld8P1NDkqcHBOXUA+LCbUkSZJG\n",
       "YeIWdpEkSZJmnQm1JEmSNAATakmSJGkAJtSSJEnSAEyoJUmSpAGYUEuSJEkDMKGWJEmSBmBCLUmS\n",
       "JA3AhFqSJEkagAm1JEmSNAATakmSJGkAJtSSJEnSAEyoJUmSpAGYUEuSJEkDMKGWJEmSBmBCLUmS\n",
       "JA3AhFqSJEkagAm1JEmSNAATakmSJGkAJtSSJEnSAEyo1VVE7Bh3DOuV5368PP/j5fkfH8/9eHn+\n",
       "p48JtarYMe4A1rEd4w5gndsx7gDWuR3jDmAd2zHuANa5HeMOQL0xoZYkSZIGYEItSZIkDSAyc9wx\n",
       "dBURkx+kJEmSZkJmRi/7T0VCLUmSJE0qSz4kSZKkAZhQS5IkSQOYyIQ6IuYi4uMR8cWIuC4itrXZ\n",
       "55SI+ERE3BwR/xARC+OIdVZExNkRcVtE3B4Rb1tjn33l9Z+PiGeOOsZZ1u38R8Qry/N+Y0R8MiKe\n",
       "No44Z1WV13+537Mj4sGIeOko45tlFf/37IiIz5X/65dGHOJMq/C/54SIuDYibijP/2vGEOZMiojf\n",
       "j4hvRsRNHfbxfbcm3c5/z++7mTlxDfi/gF8pf38b8O42+zwaeEb5+yOBLwBPHnfs09iAjcCXgMcC\n",
       "m4AbWs8l8GLgo+XvzwX+ftxxz0qreP5/EvjB8vezPf+jPf9N+/0l8D+Bc8cd9yy0iq/9bcDNwMnl\n",
       "9gnjjntWWsXzfxHwm41zDxwEjhl37LPQgH8DPBO4aY3rfd8d7/nv6X13InuogZ8Drip/vwr4+dYd\n",
       "MvMbmXlD+fv3gFuBHxlZhLPlOcCXMvOrmfkA8AHgJS37PPycZOangG0RceJow5xZXc9/Zv5dZn63\n",
       "3PwUcPKIY5xlVV7/AP8R+Avgn0cZ3Iyrcu5/AfhgZt4JkJl3jzjGWVbl/P8TsLX8fStwMDMfHGGM\n",
       "Mysz/wb4doddfN+tUbfz3+v77qQm1Cdm5jfL378JdHwBRcRjKT5lfKresGbWScAdTdt3lpd128ek\n",
       "bjiqnP9mrwc+WmtE60vX8x8RJ1EkGu8pL3J6pOGo8tp/EjBXlvh9NiL+w8iim31Vzv/lwGkR8XXg\n",
       "88BbRhSbfN+dJF3fd48ZUSCrRMTHKco2Wv3n5o3MzE7zUEfEIyl6jd5S9lSrd1WTg9Y5GU0qhqPy\n",
       "eYyInwJeBzyvvnDWnSrn/1Lg7eX/o2D134L6U+XcbwJOB84EjgX+LiL+PjNvrzWy9aHK+d8N3JCZ\n",
       "OyLiCcDHI+LpmfkvNcemgu+7Y1b1fXdsCXVmnrXWdWWR+KMz8xsR8cPAt9bYbxPwQeCPMvN/1BTq\n",
       "enAXcErT9ikUn4Q77XNyeZkGV+X8Uw6IuBw4OzM7fU2o3lQ5/88CPlDk0pwA/ExEPJCZ14wmxJlV\n",
       "5dzfAdydmfcB90XEXwNPB0yoB1fl/P9r4F0AmfmPEfEV4MeBz44kwvXN990x6+V9d1JLPq4Bzit/\n",
       "Pw9YlSyXvUTvB27JzEtHGNss+izwpIh4bEQ8Ang5xXPQ7Brg1QARcQbwnaayHA2m6/mPiB8FPgS8\n",
       "KjO/NIYYZ1nX85+Zj8/Mx2Xm4yi+Efslk+mhqPK/58PA9ojYGBHHUgzOumXEcc6qKuf/NuCFAGX9\n",
       "7o8DXx5plOuX77tj1Ov77th6qLt4N/BnEfF64KvAywAi4keAyzPz/6Doen8VcGNEfK683a9m5rVj\n",
       "iHeqZeaDEfFmYD/FqO/3Z+atEfHG8vr3ZuZHI+LFEfEl4B7gtWMMeaZUOf/AO4HjgfeUvaQPZOZz\n",
       "xhXzLKl4/lWDiv97bouIa4EbgaMU7wEm1ENQ8bV/MXBFRHyeohPuVzLz0NiCniER8SfAC4ATIuIO\n",
       "4EKKEiffd0eg2/mnx/ddlx6XJEmSBjCpJR+SJEnSVDChliRJkgZgQi1JkiQNwIRakiRJGoAJtSRJ\n",
       "kjQAE2pJkiRpACbUkiRJ0gBMqCVJkqQB/P/xJ2sXh13ivQAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108f6c950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m.plot_probs()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Separating signal from noise\n",
    "\n",
    "An interesting application of the OMGP model pointed out in the original publication is the use for robust GP regression.\n",
    "\n",
    "Let's illustrate this by creating sinusoidal test data with background noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x1 = np.random.uniform(0, 10, (100, 1))\n",
    "x2 = np.random.uniform(0, 10, (100, 1))\n",
    "\n",
    "y1 = 4 * np.random.randn(*x1.shape)\n",
    "y2 = 3 * np.sin(x2) + 0.5 * np.random.randn(*x2.shape)\n",
    "x = np.vstack((x1, x2))\n",
    "y = np.vstack((y1, y2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAsgAAAFwCAYAAACl2o3zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3X+QXld93/HPV5btrkxVsesO5oeD3Q6egIfGqB3qKSrs\n",
       "jBFrMi2ukkkoQ6YqbVwyZrK4Wrdg4WKluO7QRhtHQ4hTA44zATKUxsFMAl6RZidMm2mDIETFuIIW\n",
       "UwxYBK0dJdgYI337x33We3b3+XV/n3vP+zVzRnqefXbvee7P7z3ne841dxcAAACAzI62KwAAAADE\n",
       "hAAZAAAACBAgAwAAAAECZAAAACBAgAwAAAAECJABAACAQOkA2cw+ZGanzexk8N4RM3vUzL4wKNeX\n",
       "XQ4AAADQhCpakO+VtDUAdknL7v6KQfl0BcsBAAAAalc6QHb3z0p6fMiPrOzfBgAAAJpWZw7yz5vZ\n",
       "F83sg2a2p8blAAAAAJWpK0D+VUlXSrpG0rclHa1pOQAAAECldtbxR939O+v/N7MPSPrk1s+Ymdex\n",
       "bAAAAGArd586/beWANnMnu/u3x68PCDp5LDP5akoqmVmR9z9SNv1SBXrvz2s+3ax/tvF+m8P675d\n",
       "eRtmSwfIZvZRSa+RdKmZfUPS7ZLmzewaZbNZfE3SW8suBwAAAGhC6QDZ3d805O0Plf27AAAAQBt4\n",
       "kl66VtuuQOJW265AwlbbrkDiVtuuQOJW265AwlbbrgCmZ+7tjJUzMycHGQAAAHXLG3fSggwAAAAE\n",
       "CJABAACAAAEyAAAAECBABgAAAAIEyAAAAECAABkAAAAIECADAAAAAQJkAAAAIECADAAAAAQIkAEA\n",
       "AIAAATIAAAAQIEAGAAAAAgTIAAAAQIAAGQAAAAgQIAMAAAABAmQAAAAgQIAMAAAABAiQAQAAgAAB\n",
       "MgAAABAgQAYAAAACBMgAAABAgAAZAAAACBAgAwAAAAECZAAAACBAgAwAAAAECJABAACAAAEyAAAA\n",
       "ECBABgAAAAIEyAAAAECAABkAAAAIECADAAAAAQJkAAAAIECADAAAAAQIkAEAAIAAATIAAAAQIEAG\n",
       "AAAAAgTIAAAAQIAAGQAAAAgQIAMAAAABAmQAAAAgQIAMAAAABAiQAQAAgAABMgAAABAgQAYAAEky\n",
       "swWzuZWs2ELb9UE8zN3bWbCZu7u1snAAAJC0LCDefb90bCZ7Z/Ep6ewBd3+w3ZqhDnnjztItyGb2\n",
       "ITM7bWYng/dmzey4mZ0ysxUz21N2OQAAANWZXcqC44PKyrGZ7D2gmhSLeyVdv+W9d0o67u5XSfr9\n",
       "wWsAAAAgepWkWJjZFZI+6e4vH7x+WNJr3P20mV0madXdf3TL75BiAQAAWkGKRVryxp11BciPu/tz\n",
       "B/83SWvrr4tWFAAAoEpZkLyeVrF2lOC4v/LGnTvrrIwkububWTsjAQEAAEYYBMQExdimrgD5tJld\n",
       "5u6PmdnzJX1n2IfM7EjwctXdV2uqDwAAABJhZvOS5gv/fk0pFv9B0hl3f6+ZvVPSHnd/55bfIcUC\n",
       "AAAAtWs8B9nMPirpNZIulXRa0rslfULSxyT9iKRHJP20uz9RpqIAAABAEa0M0iuCABkAAABNaPxB\n",
       "IQAAAECfECADAAAAAQJkAADQKWa2YDa3khVbaLs+6B9ykIExmEQeAOLCE/BQRHQPCgG6auMkvLx+\n",
       "Et5nZpyEAaBVs0vZefng+hsz0qEl8cAPVIgAGRiJkzAAACkiQAYAAB2ydlRa3CcpTLE42mqV0Dvk\n",
       "IAMjkOcGAHFifAjy4kEhQIU4CQMA0H0EyAAAAECAJ+kBAAAAJRAgAwAAAAECZAAAACBAgAwAAAAE\n",
       "CJABAACAAAEyAAAAECBABgBExcwWzOZWsmILbdcHQHqYBxkAEA2eYAmgDnnjzp11VgYAgHxml6Tl\n",
       "Geng+hsz0qElSQTIABpDigWApNB9DwCYhBQLAMmg+z5+bCMAdcgbdxIgA0iG2dyKtLx/o/v+PkmH\n",
       "jrufeV2b9cJmWZA8u5S9WjtKcAygLHKQMTUuQgBiNDgXcT4C0BpakBNFNyZSxH4PAGkixQJToasZ\n",
       "qaLnBADSQ4oFAIxB9z0AYBIC5GStHZUW90kKu5qPtlqlEWjxAwAATSLFImFdCDzJGQUAAGWRg4xe\n",
       "IVcaAACUlTfu5El6AAAAQIAcZESuO7nSAACgH0ixQPS6kCsNAADiRQ4yAAAAECAHGQAAACiBABkA\n",
       "AAAIECADAAAAAQJkAAAAIECADAAAAAQIkAEAAIAAATIAAAAQIEAGAAAAAgTIAAAAQIAAGQAAAAgQ\n",
       "IAMAAAABAmQAAAAgQIAMIElmtmA2t5IVW2i7PgCAeJi7t7NgM3d3a2XhAJKWBcS775eOzWTvLD4l\n",
       "nT3g7g+2WzMAbcnOC7NL2au1o5wP+iVv3Lmz5so8IumspHOSnnH3V9a5PACYzuyStDwjHVx/Y0Y6\n",
       "tCQpiQsigQCw2cZN8/L6TfM+M+OmOWG1BsiSXNK8u6/VvBwAwBQIBIBh0r5pxnZ1B8iSRBoFgMis\n",
       "HZUW90kKUyyOtlqlxhAIAMAkTbQgf8bMzkn6NXe/p+blAcBE7v6gmR0YBIaSzpJmACQt5ZtmDFPr\n",
       "ID0ze767f9vM/rqk45J+3t0/O/gZg/QAoGEMUASGIze/3/LGnY3NYmFmt0v6S3c/Onjtkn4h+Miq\n",
       "u682UhkASBiBAIC+M7N5SfPBW7dHESCb2S5JF7j7X5jZJZJWJP2Cu68Mfk4LckK4IAMAgLbENM3b\n",
       "8yTdb2bry/nwenCMtDBqHgAAdEltAbK7f03SNXX9fXQJo+YBAEB38KhpAAAAINDEPMhIHtPnAACA\n",
       "7mhsFottC2aQXlIYpAcAANoS7TRv2xZMgAwAQGVoiABGI0AGACAxPAAGGC+mad4AAEAjmC0IqBKz\n",
       "WAAlmNmC2dxKVmwh9XogXuwjADA9UiyAgmLp0oylHohXXfsIOa/x4DwAjEeKBdCYWLo0Y6kH4lX9\n",
       "PsITMuPi7g+a2YHBdpV0lhsWoAQCZABAAdyYxWYQELP+gQoQIAOFxfIAlFjqgXjVtY+clPSTg/9f\n",
       "Wf7PAUAkyEEGShiXg9lkfia5oN3WxParehlmdlja/e+kY4N3FiWdfZe731mupgBQPeZBRhLKXOyb\n",
       "C0YYMIPNhu17Xd1XzOZWpOX9GykW90k6dNz9zOvarFffcTMMFMMgPfRemcFBzQ0sGp2fyQUuTaP2\n",
       "PXJ5Ma0YBkZy/kIqCJDRQWUCinaDkezisusT0lUXZ+/86avN7AYuMikYue91FLnvTdkISmf3DtuH\n",
       "zExNBK0xBOhAUwiQEZ1+tFCMCh4uuVOauVj6ucHnbrlYsjtFa2HCuhloMq3Y9LJ87dlD2au15Tx5\n",
       "2puD0ruHfOL8XJGgtdh5tv+9Hf24/qAS7t5KyRbdzrIpubfVgjS7khUt1L+s3U9Kv+5Z2f3k1mVK\n",
       "OiztOSdd69LS0M+U/PtTf99hn91475IT0p4Tm382+91suT4ov+7S7Hfb3saU+su4fa+KY6zJ45SS\n",
       "a7sclnZ7sN1d0uHpf392ZeOc8WmXLvXN+9AlJ4acU1Ym7yvjz4OT6zLdsrpUiq4XSjdK3rizMxWl\n",
       "tLadGj1hbD8BL3kWVGYX/SH1OZfnYrPxnYYHEqO+7+hAeNtnD49bX1nAvPUCs+dE29uZUn/J9pdL\n",
       "TmT7854TVR5HXNjjLWVviiefE/MHrUUD3b7vZ32/AUi95I07SbHABG12qT2obGT88pyk/Vk39Lkv\n",
       "Z6P9n63PDunQvKSpuyx97GT6w77v2+6ULnjplIOrDo1fX08clhY/IWmQg7z4tHT28LR1RzcNmali\n",
       "V7VL6H/Xd3f5RdO9N8rWFJx7npLOvnlwHlOWf9xMio6TVoOEECAjMuHF4G5Jv6gtF/0XN1+ni19c\n",
       "1eCqwQXmBi4wqSGATdeTp6XFv7rxelHSuQuyafLWVqXZ+ez94fmuk4LSYkFr8bz38Q0MXdfN8QCo\n",
       "BwEyJmj2hLHlZL9X0tzmT5z/+qD1rab6DPu+O76+vR6jPnt2WVq8bVj9gpHoYvAHqsWFPUaDY/65\n",
       "0i5J75bkks5L+pVd0sn90j37peXBp0cPrpsUlOYNWmkJHo71ghAPCsFEbY3qHfUAhez/9dVn6/fN\n",
       "/h3+IIfRD37ox8MgYlRkf2x7ZHoT27/t79iWWL/39m1+i6TLBv8eVPaI7jeIB60Azcgdd3YlWZqS\n",
       "ZlHOkfl5P19XPbb/PoM/qtsO+QYJFfmdOvaTuvbNlEuT2zZ/3YYd88/9wcZ7P+Hbf37JiS7uI+zb\n",
       "lC6UvHEnKRaImufoOqxzEvs89WhCrK1m9SuSy9tM/u+k/S+2fagfupbb/YOT0uJLJc1IVyrLR153\n",
       "09PSzqul5fUBvJ14CMeQ/f46M/s3PmKu53TPXegaAmT0SMwXy+pyRHmaVaxi3v8wSfWB27Bj/nuD\n",
       "GWuezXFdHczCI+miOemuvd3bf7bt9zukm99jZie2rkPOXegSAmSgAV7p4I/ZJektM9IDg9c3zkj3\n",
       "duBCWoUiNxoMYOuvarZtHYHbxjH/tjuzmXB2fH39fW0+Vu/M6jC3UnRZ8fnRHdKpIeckbiLRHQTI\n",
       "aFS93WtxB0LVdbE/PZcN6PnFwetbBu/1X5EbjWpvTsaJe//ro+q2bZ2B27NzqM9Ji/ePDry7uv+s\n",
       "HZUWr5O0I3v9Dkk/I+lUo7UgdQOV60qyNKX7RQ0MqFECg0WmeRpfCushxsJ672YpM4h23DbP+3e7\n",
       "uv9IOiztOSddO3jS3/Bze13XgCauLZTul7xxJy3ImEo1d+f1d695EgOhdpwZ9x55fu1JY//ro2Kt\n",
       "t1Ufa13df9z9TjM7kaVVnNKolnyf0OJf/DpD6gaqR4CMiQi4YjPpYs7Fogl06fbHIHC7I3tUvCSd\n",
       "XZ5ue0461rqaNpHftMH9qM9Nc50pesxxrKKQrjR1U9orVc3hK7rBKtwm1XXr1lWPPhf25X6Vottz\n",
       "mmMt1WNk8vrevE4mrctx26jozyhplbxxZ2cqSmmvVBlwxX6xiL1+03+H+i8IKV94ePBLv0rR7Zny\n",
       "MVB8XQ9fZ5MD5GkC6O3nbo5VSrCPeJ7Pk2KBKVTXTegR59h1IZVkmq5Cb2zWBlI5kI5hx15zx1qf\n",
       "jDpvlLvOxHxtQTcRIGOiui8C8eSHxR3w5QnguVjULZ3c0jSM357jjj2OtWpMvs4UPeY4VlFQV5q6\n",
       "Kf0siqiLMvauuNjqF9O2a+/7dzsdp0+l7PYY9/uxHXtdLmXOG0W3MccqZbAfeJ7P04KMVmy0Gs/u\n",
       "zZ4KF0OrLS0NeXji3ctOy2E0pu1dGddbxfZsRpnzRtFtxLZFETaIqptfsJm7u7WycLRq42J2bHAx\n",
       "u0XSb0paUPaEuEPH3c+8rr26xZDusd329bb4lHQ2qhzproh5OyO/7DHNy/s3brS3n0fKHD/bf/em\n",
       "p6WLvpTNP87+UyeOVVQlb9xJCzJasC3XV9IRSY9pXKttEyfKmFsa6mixbfLiE8uFrguDMVGH4mMM\n",
       "Nh97T89JO6+W7tqb/TS9/aeKY3mav8GxilZ1JReE0p8yIp/vu+Pyw5R4vms926G5dRrT9iOfdNi2\n",
       "aTc/s2wdptm/qpvPPe39p4pjedq/kfq6plRb8sadtCCjBUNzfd/sY1sF4p5hInbDW2uaXKdsvxjF\n",
       "0EJXRR18Uwvv+TnpnKTZJTPTxt9hjEE1qjiWOR8gfgTIaJzXkCrQN1WmI4wKQKTZKqraQQRKG2II\n",
       "VKqpw+C8omxf/5Wh07FVc95h/2kO6xot6kpTNyXtooi66Lv2XUd1Uza5TmPbfoogrSCGusbQhV2m\n",
       "DlvXTVPfp0v7Tz3fvXSKxWFp97lp/kbK65pSbckbd3amohRKKifKqi/y4/5ek+s0le1X/Tqr78ai\n",
       "mb8/fpsXrcPw39tzou2AP4VS5lje2G5LLl3r0p5zkg537XtQulcIkClFtgUniYhK9QFyXK23lPb2\n",
       "hdH7R/XHf579rkgdhq+bS06wr8ddYui1yOrBeTG1kjfuJAc5cSPyU++QZuez18w72bxq8+6cnG+M\n",
       "4bVNbTg5tzh4YJCqOddcfEZaY1/HFGLIv0fMCJCTN+wkcfN7pOUd2UvmnWxaHQFtfUEQ6tXfQUrl\n",
       "Z68Yvm627uuxzL+Ndf3dp9EvPEkvccOfQHW3pD8KXrf3ZDt0DwFJtbq6Pic9uW6ap99Nt4zR64an\n",
       "T8Yphn2afSM90TxJz8yul3SXpAskfcDd31vXslDGtrv589KNO1qtEjorhnl1+6arrf9NpPZMXjd0\n",
       "o8eo7n16mgCc1DNMUkuAbGYXSHqfpNdK+qakPzazB9z9y3UsD8UNOUmsSvfcJr2c7i8UQECCDeMD\n",
       "IbraUb08N+ldvflEM+pqQX6lpK+6+yOSZGa/JekGSQTIERqSs3eCu+r8Yug2BGK3ZWDeHdKh+ewn\n",
       "dZxrCMLTw006qlFXgPxCSd8IXj8q6e/WtCxUjLvq/EgtWLe2Kt18nXT3DulVku4hIMGzzOywtOc9\n",
       "0lXr+8c+aa224yTWbvSmb6a5eQfyqytAnmrkn5kdCV6uuvtqLbUBakerxeAm4TbprvUZUM5LZ+/g\n",
       "Ygzp2f3jPRv7xzsk3Tgj3VvrcRLbDX/TN9Pp3bzX12vAjUa3mNm8pPmiv19XgPxNSZcHry9X1oq8\n",
       "ibsfqWn5ACqQ74Kw7SZhx6D7/M56a4lumF3Kpo88GLx3d2u1aU/TN9Np3bxP22uQN9jdfKNxUtIH\n",
       "rzN77p9ITxwmUI7ToNF1df21md2e5/frCpA/J+klZnaFpG9JeqOkN9W0LCAC/ct1rKbl6fxcNp2X\n",
       "RIsLtnv4vPRENMcJLYT9MKnXoNi5bf1G4zJlvR937ZC0V1q8v98t8gmr8ZF+r5f0vyV9VdKtZR/5\n",
       "R6HEXtSzR3bnfSSstj+69fvSru/zKFfKiP3jnKTDbddrTP1q2V+bWk5by+tCKfK4643f+QmP4VHZ\n",
       "lCLbXZ7n87XNg+zun5L0qbr+PhAa1vLTdGuQR5br2DTf1rV5bk56/95UunYx3vb9I44BcxuaSUVo\n",
       "ej3Ev95jcX5u/M/XewlfNtNMfdA2HjWNzhvRXXZHNmAslYEpdcifNhLeJGykVgCZ1G8i1zW9Hljv\n",
       "W60dlRZfLeni7PUtkn5wtZktbL1GbJ+W8ORPSovXSFofjNz5dDoMx6Om0XkjHll7RlqeK/MYW5TL\n",
       "yeRRrugS9tf8upyzbfacE9LL90ovkPQvJD2mrdeIUftE9v9ufu+URfOoaQDdV6blia5dbBVzQMX+\n",
       "mk/3p4+7+Iz0c9rciLLV8LSbQRDdke+JogiQ0QNDUwGWpcXb1KNZJbqoSIC9NYjK/o0zqMJkG9vz\n",
       "/Jy062ppedCtHV9ARSpCHu1NH1fNjVb/Zh5CtQiQ0XmjWn54ZHb3DGmVeq309A+l5QsHr6MLqjDa\n",
       "9u15i7JpshYkBm2igKparqfrMVhblRb3b7xelHR2tXDl0SkEyOiFYS0/tAZ10bZWKZMOXUhQ1VXb\n",
       "tqek/6TBtkSntdUCW13L9eRrxOy89BZJDwxe3yjp3nnx8KMkECADiNxVIqjqk28py/ekS7vL0snZ\n",
       "frmkXxz8f1ieMvqKWSyAHop5MNQwG/V9ek664BXSscG54R2SfkbSf1M2oGb7zAJd+64pGTILwNPS\n",
       "uS9lA6TYVsivyZklmNmkX/LGnQTIwEBfAq2undS31/emZ6QLL5BeukN6laR7RgZVsXzXvuw7dWhq\n",
       "3bAN0jF8IG895wH2q/7IHXd25ZF/FMq0RQUe+awePY61yGNU46vvnhPTbMMYvmuf9p2uFrZB2iWG\n",
       "8wAl/pI37iQHGb1SfIRze1MWYZgdZ7rzUBf2nfaxDQBUiwAZPcOFsnvze5apb9e+a3voKkZ/cR5A\n",
       "9QiQAUldPsEOC3y6NLq8TH3j+K7x7zvT9qx0N4iOfxugPnGcB9A3DNJDr5QZtNXF4CCWQWqpi33f\n",
       "MZtbkZb3b36s7qHjYRpL1/el2LcBgHbljTtpQUavlG2NVOdSMUgpGRUYNRkwdXPf2arb+1I/tgGA\n",
       "WBAgJ66PrS5cKLuj7P43KnUg+3/5x9H2BykIAJAHKRYJ63qXKrq9Dauo+/DUgZs/L+14sbQ8Ny6l\n",
       "IDWTbka6vC8BwCSkWCCH6bpU+9jK3BfdHpxSW5f+NdJVO0r+jal15fiY1LPS7X2pXV3ZBwBMjwAZ\n",
       "YxWfVxhNSTulZFvqwHnpxh3SfgWBt/KmFEwb8DRxfHQxlzqlgJFzJNBTXXmiCaWWbTDx6VM8oaif\n",
       "RQWeNlhPHco//Wzzd7nkxMb++mmXrnVp9rvh35303fPUq+7jo4p1VHZb5/39qrZrVwrnSAqlGyVv\n",
       "3EkLcsKcLtUkxdLiVdX+50GrZ/bdFu/Xsy3KDz0lnX3z+t+d7rvHNJtDubqU3dbFfj+m9QdMJ6Ve\n",
       "D0yHADlxPrFLldHv/RNPADN5/8v/98YH3VV/93aPj8kX9bLfN559JV6cI7sulkYDxIUAGWPRyozY\n",
       "jQgSS+yj0wc8m4+P83PSD3dLsx82e87Xpe8dLn+sjK5LvBf1tALGus6RtGg2iRtBDNGVXBAKhVJN\n",
       "UY9yRPN+l2k/r2J5t9/f+LuXurTr+1Ws11F1mSb3tey2Lvr7edcfpZr1Tim6vskjT6HkjTuZBxlI\n",
       "UF9ap6Z5hPL23yn23cf93vB63C3pVG1zL5s994R0196tc0C7P/63x9R7VZqdH/YdRi+nH/tKlxTZ\n",
       "r1Ecc4CngXmQAUzkCU0NV0UKRpXpDNUFnM9IuiV4fcvgvc3Wv2/R75DSvoI0OamEGIIAGUCHjc93\n",
       "rS6wnZSjuHZUWny1pIuz17dIevJp6clNubfV5g1ffCarzwOD1wcl3Xum+HdAPNLK444BN4LYigAZ\n",
       "QGdNbvlpJigc1OMG6e3vyx5z/cxT0pPv3R74hvV5UNLLZqRTHzazNxdId1iV7tm3pVuYIKoHaNEc\n",
       "j7QfNIEAGUCnNdPyM22Lnr9Q+qULJV0oLd5mZieGX7wfVBYkv1eS5qTF+ye1JA9rfZbO3iEdms9e\n",
       "TwqiaJXsElo0h4t39hb0TldGE1IoRYu2jKjf+rrt+nW5xL4uVeFsAJO+a75ZJa71vKPmqxhpH/v2\n",
       "olAmFWacoBQteeNOWpDRa0NaG14t/VDS8iBXlNaHoupqyamy+9Qr7Kr23C16JyVpbzYjQfY9Nupz\n",
       "6sOS5orUo4z83wGT0N2fD+sLndGVSJ5CKVKGtzZcS+tDbeu23LpUh+d/3Vz3JZd2+6jvUeR7dnnd\n",
       "9LWkuk1UsCeiivWV6jqnlC95405akAFEpLszLfjm1uq90rG5Ud/DC7RsF/kd1K27+2tR5XqOyq8v\n",
       "jgM0hQAZPbdtYNLTWYrFfespFgxUKoxBX1v5s3MOz61I2j/NZ4v8/eI1BMpq/6aA4wBNIEBGrw1r\n",
       "bcj+pfWhrHpacvoSdPfle2A8tnM+rC90B4+aBhCVvgzi6cv3iF3b67nt5Tet7GOZU1tfiEfeuJMA\n",
       "GQDQSWWDNRRDkIsuIkAGACQhy/Ve3r+RD3ufpEPH3c+8rs16AYhP3rhzR52VAYBJzGzBbG4lK7bQ\n",
       "dn0AAKAFGclqqpuQ7sjR6CJHGew/AKZFigUwhaYurFzAx+taFzk3O/FhmwCYRt64k2nekKim5vJs\n",
       "f85QFLcl+FqVdt9W9aO1UQ5z4laPmw6AABlAq+KdF3X7E8Nuvk66awc3O+izck/KA/qDABmJaiow\n",
       "izcAjEHcj43d2vp/N4OakQB6vQCJABmJaiowizsAjEN3ushfJWnxvJ6d/YebnUnoqgfQVQzSA4Ah\n",
       "RgywvEOanc9eE/CN0+cBqn0O/Pu83ZC2KGaxMLMjkn5W0p8N3rrV3T+95TMEyACi1udAqG5dm6Fk\n",
       "WikEkOz36KNYZrFwScvuvlzT3weiwgWln7qT/oHm9D9Hl/0eqDcHmdZhJIFR38AwDFAF0F11pVjc\n",
       "Luktkv5c0uckLbn7E1s+Q4oFeqGvXcnAuqI9JH3sWUkhxaIv+rj/objGUizM7Liky4b86F2SflXS\n",
       "vx28fo+ko5L+edFlAQDaUaaHpI9d9cxM0w307KGswgGyu++f5nNm9gFJnxzxsyPBy1V3Xy1aH6A9\n",
       "dCWjz/qfc5tXHwP//mG/TZ2ZzUuaL/r7teQgm9nz3f3bg5cHJJ0c9jl3P1LH8oEmpdiiRNclkC6O\n",
       "f3TBoNF1df31IP13anXlIP+GpGuUzWbxNUlvdffTWz5DDjLQQeRgpoXtjVBX9oeu1BPNiWIe5KkW\n",
       "TIAMdBKDEtNDiyHWden4Z79FKJZ5kAGgMVwI60XOLbqI/RZlECADyCmuQYmMVgeaFNfxD9SFFAsA\n",
       "ucXUYtulLl+gD2I6/oFpkWIBoHZ0XQLp4vhHCgiQAUSjWMsUXb4AgGqRYgEgCmWmZaLLFwAwDtO8\n",
       "AegkcokBAHXJG3fuqLMyAAAAQNeQgwwgEuQSN4WUFAAYjxQLANEgcKsfj+AFkCJykAEAI5HrDSBF\n",
       "5CADADCEmS2Yza1kxRbarg+AeNGCDAAJSTXFItXvDSBDigUAYKwUc71JLQHSxqOmAQBj8ahgABiP\n",
       "ABkAkACmEQQwPVIsAABJSDG1BECGHGQAAAAgwDRvAAAAQAkEyAAAAECAABkAAAAIECADAAAAAQJk\n",
       "AAAAIECADAAAAAQIkAEAAIAAATIAAAAQIEAGAAAAAgTIAAAAQIAAGSjBzBbM5layYgtt1wcAAJRn\n",
       "7t7OgnM+ExuITRYQ775fOjaTvbP4lHT2gLs/2G7NUFS2TWeXsldrR9mWANAPeePOnXVWBui32SVp\n",
       "eUY6uP7GjHRoSRJBVQdt3PAsr9/w7DOz0jc8BN0A0D0EyAAgqY4bnrqCbgBAvQiQgcLWjkqL+ySF\n",
       "KRZHW60SIkMvAwB0EQEyUJC7P2hmBwYBj6SzdJ93Gjc8AIAMg/QAYKDqfGEGcgJAHPLGnQTIAFAj\n",
       "BukBQPsIkAEAAIBA3riTB4UAAAAAAQJkAAAAIECADAAAAAQIkAEAAIAAATIAAAAQIEAGAAAAAgTI\n",
       "AAAAQIAAGQAAAAgQIAMAAAABAmQAAAAgUDhANrOfMrMvmdk5M9u75We3mtlXzOxhM3td+WoCAAAA\n",
       "zdhZ4ncoxR3NAAAH60lEQVRPSjog6dfCN83sZZLeKOllkl4o6TNmdpW7ny+xLAAAAKARhVuQ3f1h\n",
       "dz815Ec3SPqouz/j7o9I+qqkVxZdDgAAANCkOnKQXyDp0eD1o8pakgEAADrDzBbM5layYgtt1wfN\n",
       "GZtiYWbHJV025EeH3f2TOZbjuWoFAADQoiwg3n2/tDyTvbO4z8wOuPuD7dYMTRgbILv7/gJ/85uS\n",
       "Lg9ev2jw3jZmdiR4ueruqwWWBwAAULHZpSw4Prj+xox0aEkSAXIHmNm8pPmiv19mkN6megT/f0DS\n",
       "R8xsWVlqxUsk/c9hv+TuRypaPgAAACBJGjS6rq6/NrPb8/x+4QDZzA5IOibpUkm/a2ZfcPfXu/tD\n",
       "ZvYxSQ9J+qGkm9ydFAsAANAha0elxX2S1lMsnpLOHm21SmiMtRW7mpm7u03+JAAAQHFZPvHsUvZq\n",
       "7ei0ecRFfw/xyRt3EiADAIDe2hhsdyxsCWawXWLyxp08ahqYEtP9AEAXzS5lwfFBZeXYzEarMDBc\n",
       "VYP0gF5juh8AANJBgAxMhel+AKCbGGyH/AiQAQBAb7n7g9nMW4cGaRVnGWyHiRikB0yBQR4AAHQX\n",
       "s1gANWG6HwAAuokAGQAAAAgwzRsAAABQAgEyAAAAECBABgAAAAIEyAAAAECAABkAAAAIECADAAAA\n",
       "AQJkAAAAIECADAAAAAQIkAEAAIAAATIAAAAQIEAGAAAAAgTIAAAAQIAAGQAAAAgQIAMAAAABAmQA\n",
       "AAAgQIAMAAAABAiQAQAAgAABMgAAABAgQAYAAAACBMgAAABAgAAZAAAACBAgAwAAAAECZAAAACBA\n",
       "gAwAAAAECJABAACAAAEyAAAAECBABgAAAAIEyAAAAECAABkAAAAIECADAAAAAQJkAAAAIECADAAA\n",
       "AAQIkAEAAIAAATIAAAAQIEAGAAAAAgTIAAAAQIAAGQAAAAgQIAMAAAABAmQAAAAgUDhANrOfMrMv\n",
       "mdk5M9sbvH+FmT1lZl8YlPdXU1UAAACgfmVakE9KOiDpD4f87Kvu/opBuanEMlATM5tvuw4pY/23\n",
       "h3XfLtZ/u1j/7WHdd0vhANndH3b3U1VWBo2ab7sCiZtvuwIJm2+7Aombb7sCiZtvuwIJm2+7Aphe\n",
       "XTnIVw7SK1bNbF9NywAAAAAqt3PcD83suKTLhvzosLt/csSvfUvS5e7++CA3+XfM7Gp3/4uSdQUA\n",
       "AABqZ+5e7g+Y/YGkJXf/fJ6fm1m5BQMAAABTcneb9rNjW5BzeHaBZnappMfd/ZyZ/Q1JL5H0f7f+\n",
       "Qp5KAgAAAE0pM83bATP7hqRrJf2umX1q8KPXSPqimX1B0n+W9FZ3f6J8VQEAAID6lU6xAAAAAPqk\n",
       "1Sfpmdl/NLMvm9kXzey3zeyvtVmfVJjZ9Wb2sJl9xcze0XZ9UmFml5vZHwwesPO/zGyx7TqlyMwu\n",
       "GMyyM2qgMWpiZnvM7OOD8/5DZnZt23VKhZndOjj3nDSzj5jZxW3Xqc/M7ENmdtrMTgbvzZrZcTM7\n",
       "ZWYrZranzTr22Yj1nyvmbPtR0yuSrnb3H5N0StKtLden98zsAknvk3S9pJdJepOZvbTdWiXjGUn/\n",
       "0t2vVpaa9DbWfSveLukhSXSfNe+XJf2eu79U0t+S9OWW65MEM7tC0o2S9rr7yyVdIOkft1mnBNyr\n",
       "7Dobeqek4+5+laTfH7xGPYat/1wxZ6sBsrsfd/fzg5f/Q9KL2qxPIl6p7EmHj7j7M5J+S9INLdcp\n",
       "Ce7+mLv/yeD/f6ksOHhBu7VKi5m9SNKPS/qAgsHFqN+gtebvu/uHJMndf+juf95ytVJxVtkN+i4z\n",
       "2ylpl6RvtlulfnP3z0p6fMvbb5B03+D/90n6R41WKiHD1n/emLPtFuTQP5P0e21XIgEvlPSN4PWj\n",
       "g/fQoEGLziuUHaRozi9J+leSzk/6ICp3paQ/M7N7zezzZnaPme1qu1IpcPc1SUcl/T9lzyp4wt0/\n",
       "026tkvQ8dz89+P9pSc9rszKJmxhz1h4gD/JtTg4p/zD4zLsk/cDdP1J3fUC3ctvM7DmSPi7p7YOW\n",
       "ZDTAzP6BpO+4+xdE63EbdkraK+n97r5X0vdEF3MjzOxvSrpZ0hXKeq2eY2ZvbrVSifNshgSuxy2Y\n",
       "Nuasah7kkdx9/7ifm9k/VdbleV3ddYGkrFvt8uD15cpakdEAM7tQ0n+R9Jvu/jtt1ycxf0/SG8zs\n",
       "xyX9FUm7zew33P2ftFyvVDwq6VF3/+PB64+LALkpf0fSf3f3M5JkZr+t7Hj4cKu1Ss9pM7vM3R8z\n",
       "s+dL+k7bFUpNnpiz7VksrlfW3XmDu3+/zbok5HOSXmJmV5jZRZLeKOmBluuUBDMzSR+U9JC739V2\n",
       "fVLj7ofd/XJ3v1LZAKX/SnDcHHd/TNI3zOyqwVuvlfSlFquUkoclXWtmM4Pz0GuVDVRFsx6QdHDw\n",
       "/4OSaCRpUN6Ys9V5kM3sK5IukrQ2eOuP3P2m1iqUCDN7vaS7lI1k/qC7//uWq5QEM9sn6Q8l/ak2\n",
       "utZudfdPt1erNJnZayQtufsb2q5LSszsx5QNkLxI0v+R9BYG6jXDzP61sqDsvKTPS/rZwUBt1MDM\n",
       "PqrswWmXKss3frekT0j6mKQfkfSIpJ/mQWr1GLL+b1c2a8XUMScPCgEAAAACMc1iAQAAALSOABkA\n",
       "AAAIECADAAAAAQJkAAAAIECADAAAAAQIkAEAAIAAATIAAAAQIEAGAAAAAv8fWLIWFryLo6YAAAAA\n",
       "SUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1089b1a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.scatter(x, y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we make a model with only one mixture component / kernel. This is equivalent to normal GP regression."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "kernels = [GPy.kern.RBF(1)]\n",
    "m = OMGP(x, y, K=1, prior_Z='DP', kernels=kernels)\n",
    "m.variance = 3\n",
    "m.hyperparam_interval = 100\n",
    "m.rbf.lengthscale = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "m.optimize(verbose=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAApEAAAFwCAYAAADg2yBxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8XGXVB/DfuXf2mcxksu9N9yVdga5QFqHSQguoKIKK\n",
       "+iqivGyCCKKv4gouIKuC7ALKK76ispSyFkspLVAopU33tM2+JzOZ/d573j8mU0JI2ywzmSQ9389n\n",
       "SO7Mvc89E9rmzHk2YmYIIYQQQggxEEq6AxBCCCGEEKOPJJFCCCGEEGLAJIkUQgghhBADJkmkEEII\n",
       "IYQYMEkihRBCCCHEgEkSKYQQQgghBmzISSQRPUREjUS0tcdzNxFRDRG91/1YPtT7CCGEEEIcq/rK\n",
       "t/o4504i2k1EW4hoXqpjSkYl8mEAvZNEBnAbM8/rfryQhPsIIYQQQhyr+sq3DiGiswBMYubJAL4F\n",
       "4I+pDmjISSQzrwPQ3sdLNNS2hRBCCCHEEfOthHMAPNp97kYAmUSUn8qYUjkm8orucuqDRJSZwvsI\n",
       "IYQQQhzrigFU9ziuAVCSyhumKon8I4DxAOYCqAdwa4ruI4QQQggh4nr3Aqd0b2tTKhpl5qbE90T0\n",
       "AIBnep9DRLJptxBCCCGSjpnTPqQuGXnOAN9HLYDSHscl3c+lTEqSSCIqZOb67sPPAOhzJtFI+J88\n",
       "mhDRTcx8U7rjGE3kZzYw8vMaOPmZDYz8vAZOfmYDM5KKVOa5Xx/0tbH3Hx7oJf8GcDmAJ4loEYAO\n",
       "Zm4cdAD9MOQkkoj+CuAUADlEVA3gJwBOJaK5iJdRqwBcOtT7CCGEEEKMJqSoyWur73zLDADMfB8z\n",
       "P09EZxHRHgABAIPPYPtpyEkkM1/Yx9MPDbVdIYQQQojRLJlJ5GHyrd7nXJ60G/ZDSrqzRcqsTXcA\n",
       "o9DadAcwyqxNdwCj0Np0BzDKrE13AKPQ2nQHIAYnmUnkSETM6Rk6QEQsYyKFEEIIkUwjJb8gIrYt\n",
       "uGzQ14c3/WHEzx2RSqQQQgghRAqM9UqkJJFCCCGEEClAqiSRQgghhBBigJQxXolM5baHQgghhBBi\n",
       "jJJKpBBCCCFECsiYSCGEEEIIMWCSRAohhBBCiAEjZWyPGhzb704IIYQQQqSEVCKFEEIIIVJAurOF\n",
       "EEIIIcSASRIphBBCCCEGTJJIIYQQQggxYGN9xxqZWCOEEEIIIQZMKpFCCCGEECkg3dlCCCGEEGLA\n",
       "JIkUQgghhBADpozxJFLGRAohhBBCiAGTSqQQQgghRApId7YQQgghhBgwSSKFEEIIIcSAjfUkUsZE\n",
       "CiGEEEKIAZNKpBBCCCFECoz1SqQkkUIIIYQQKTDWk0jpzhZCCCGESAFS1UE/+myPaDkR7SCi3UR0\n",
       "fR+ve4noaSLaQkQbiagile9PkkghhBBCiBGOiFQAdwNYDmAGgAuJaHqv024EsJmZ5wC4GMAdqYxJ\n",
       "kkghhBBCiBQgRR30ow8LAOxh5v3MHAPwJIBze50zHcBrAMDMOwGUE1Fuqt6fJJFCCCGEECmQ5CSy\n",
       "GEB1j+Oa7ud62gLgswBARAsAjANQkoK3BkAm1gghhBBCpMRAJtaE6rYhXL/tSKdwP5q5BcAdRPQe\n",
       "gK0A3gOg9zuIAZIkUgghhBAizexFFbAXfTQPpnPzU71PqQVQ2uO4FPFq5CHM7AfwX4ljIqoCsC/Z\n",
       "sSZIEimEEEIIkQKKQsls7h0Ak4moHEAdgAsAXNjzBCLyAAgxc5SILgHwOjN3JTOIniSJFEIIIYRI\n",
       "AUpiEsnMGhFdDmANABXAg8xcSUSXdr9+H+Kzth8hIgbwIYBvJC2APkgSKYQQQgiRAkRJrUSCmVcD\n",
       "WN3ruft6fL8BwNSk3vQIJIkUQgghhEiBJHdnjziyxI8QQgghhBgwqUQKIYQQQqRAMsdEjkSSRAoh\n",
       "hBBCpIAkkUIIIYQQYsCUJE+sGWlkTKQQQgghhBgwqUQKIYQQQqSAdGcLIYQQQogBkyRSCCGEEEIM\n",
       "mKwTKYQQQgghRC9SiRRCCCGESAEa46U6SSKFEEKIJCCiMgAeADuZOZrueET6JXvv7JFGkkghhBBi\n",
       "iBRn7u1K4fFfJLPTYbTt3kFEy5m5Ld1xifSSMZFHQUQPEVEjEW3t8VwWEb1ERLuI6EUiyhzqfYQQ\n",
       "QoiRiIhmUtakr6r5s/OVrIkZavlp88mR+/t0xyVEqiWjt/5hAMt7PXcDgJeYeQqAV7qPhRBCiLFH\n",
       "MRWSNdOdOCSTFVDM3nSGJEYGUmjQj9FgyEkkM68D0N7r6XMAPNr9/aMAzhvqfYQQQogRydDeNlp3\n",
       "7GY24ocdVZ2shZ5Nc1RiBBjrSWSqxkTmM3Nj9/eNAPJTdB8hhBAirZi5g0zWc/S9a26DYrZytOsZ\n",
       "DrX9Kd1xifQb63tnp3xiDTMzEXGq7yOEEEKkC2uRXQBWpjsOMbKMloriYKUqiWwkogJmbiCiQgBN\n",
       "fZ1ERDf1OFzLzGtTFI8QQgghxiAiOhXAqWkO45iUqiTy3wC+CuDX3V//2ddJzHxTiu4vhBBCiGNA\n",
       "dwFqbeKYiH6StmB6kUrkURDRXwGcAiCHiKoB/BjALQD+RkTfALAfwBeGeh8hhBBCiNFkrK8TOeQk\n",
       "kpkvPMxLZwy1bSGEEEKI0Wqs71gzxnd1FEIIIYQQqSDbHgohhBBCpACN8VLdGH97QgghxMAQUQYR\n",
       "5dBY74sUKacoNOhHX4hoORHtIKLdRHR9H6/nENELRPQ+EX1IRF9L6ftLZeNCDBYRKUR0AhEtICKp\n",
       "mAshhoXizL1Vya3YphQct4Ucuc8SkSXdMYnRK5k71hCRCuBuxLeangHgQiKa3uu0ywG8x8xzEV/2\n",
       "6NZU/g6VX85ixCEiMznynlVyZ5wEIsVo3vYWES1n5ki6YxNCjF1ksi5Rixd8U8ma7AYA9o7P16pe\n",
       "vQnAjemNTAgAwAIAe5h5PwAQ0ZMAzgVQ2eOcegCzu793A2hlZi1VAUkSKUYeq/tbasnCT5EjxwQA\n",
       "ZPOerO1/9RoAN6c5MiHEWGayzSJ7jjtxSFa3Sqp5QjpDEqNbkkdEFAOo7nFcA2Bhr3PuB/AqEdUB\n",
       "yECKl1iU7mwx8iimYpidH33AMTsUkFKUxoiEEMeCaNeLRtvuGub4Tr1Gx/5O1qPPpzkqMYoleUxk\n",
       "f7aQvhHA+8xcBGAugHuIKCOZ76knqUSKkScWfNRofP9LSvGiMgAwGt6rQSz0YLrDEkKMbWzoVWR1\n",
       "f4sjvhuhmBQOdzzDofY/pzsuMXoNZMea9t3voX33e0c6pRZAaY/jUsSrkT0tAfBLAGDmvURUBWAq\n",
       "gHf6HcgAUOIT13AjImZmmfkm+kQW10KyZvwQIOKI/7cc9f8n3TEJIYQY+UZKfkFEfPpd6wZ9/StX\n",
       "LEXP99E9QWYngNMB1AHYBOBCZq7scc5tADqZ+adElA/gXQCzmblt0IEcgVQixYjE0a6NAM5JdxxC\n",
       "CCHEYKlJ3PaQmTUiuhzAGgAqgAeZuZKILu1+/T4AvwLwMBFtQXzI4vdTlUACkkQKIYQQQqREMpNI\n",
       "AGDm1QBW93ruvh7ftwBYldSbHoEkkUIIIYQQKZDsJHKkkSRSCCGEECIFxnoSKUv8CCGEEEKIAZNK\n",
       "pBBCCCFECoz1SqQkkUIIIYQQKWCSJFIIIcRAkck2nexZd8FktSHi38Ch1uuZ2Uh3XEKI4SOVSCGE\n",
       "EANCRC7yjPs/tfzU6UQKjEDTCXrNWyEAP053bEIIkSySRAohRPJNVbwTxhHF5y4qzjyrYXYsTnNM\n",
       "QohhJpVIIcQxoXtLreMBGADela7XIannUGs7MssdAMB6FNAjrekOSggxvFRlbC+CI0mkEAJEZCNn\n",
       "3hold+YCsGEYzdvWEdFKZtbSHdtoxMx15Mj5PfTYFbC67dx5YD8Hmi5Pd1xCiOEllUghxNhny/y+\n",
       "WrZ0KVnd8X/xLK4z9IP/+QaA+458oTgcDrbcSkR/ApAJoI6Z9XTHJIQQySRJ5ChC9qzLyOa5GAxw\n",
       "pOMBDrU/kO6YxBhBSiHMjkMfmcniVEFqUTpDGguY2Q/An+44hBDpIZVIMSKQ1b1Myav4mZozPRsA\n",
       "9KZtE8iasZMj/nXpjk2MAVrkfqP+vVVK0QnFAGA0vH8AscBj6Q5LCCFGM0kixcigms9TsiZnJw6V\n",
       "rEm5RvuecwBIEimGjKNdm8ma8WUOtV4DMHPE93PWInvSHZcQQoxmKkkSKUYCQ3+fgy1hchXYAICD\n",
       "LUHo2vvpDkuMHRzxrwWwNs1hCCGEGCUkiRwtIp0PGHVvL2VXwalgBnc1voio7y/DHQYRmcmR+xBs\n",
       "mXOhRSIc6fwRhzteGO44hBBCiJFOurPFiMDMDOBiInJ1HwbSEQfZs3+tlp30RbJlmpgZes2b9xDR\n",
       "QmZuSUc8QgghxEglSaQYUZi5K60BmO0zyJZpAgAiguIuK9Vbd00GIEmkEEII0YNJkkghetDC+zka\n",
       "YLI4CQC4q74eQFWaoxJCCCFGHKlECtEDB1u+qx9YW0L27OmshSMc7riZmRvSHZcQQgghhpckkWJA\n",
       "mDkEYCURqbIDhxBCCHF4UokUog+SQAohhBBHJkmkEEIIIYQYsLGeRCrpDkAIIYQQQow+UokUQggh\n",
       "hEgBqUQKIYQQQogBUxUa9KMvRLSciHYQ0W4iur6P179HRO91P7YSkUZEmal6f1KJFEIIIYRIgWRW\n",
       "IolIBXA3gDMA1AJ4m4j+zcyViXOY+XcAftd9/koAVzNzR9KC6EWSyFGGiGzOvMmZrMcYRGzoMSYi\n",
       "NrRo/FiLGkYsbOjRIANgAEb318T3BgCDmY00vg0hhBBCDMwCAHuYeT8AENGTAM4FUHmY8y8C8Ncj\n",
       "NUhEVwJ4jJnbBxOQJJGjjzlnysmZ9uzSMACwrsV3jjESX3WwoREbOunREAw9BtY16LH490YsBD0a\n",
       "hnf8fLCu6boW1ljXY4YW1rRIQIsF2jQAeuIhS/kIIYQQg5PkMZHFAKp7HNcAWNjXiUTkAHAmgMuO\n",
       "0mY+4hXNzQAeArCGmbm/AUkSOQqZbE7NlTcpOtR2tHAXadGAYkRDVj0WtuvRgKLHwhQLdpAW9iMW\n",
       "7OTMcccx67GYHotEtYg/GulsiALQAGjMrA393QghhBBj00CSyN2b38Ke9zYe6ZR+J3cAVgF442hd\n",
       "2cz8QyL6HwCfBvA1AHcT0d8APMjMe492E0kij2Emm4tNNlei6nhY0UCbooV81lio0xELdaqxUCfH\n",
       "Am3wjp8PIxaOapFAOOJrDOvRoAYghniCOZA/7EIIIcSYM5AkctoJizHthMWHjtc8fGfvU2oBlPY4\n",
       "LkW8GtmXL+IoXdkJzGwQUQOARsTzAS+AvxPRy8x83ZGulSRSHJXFmWVYnFkG4gnix0QDbUo00ObQ\n",
       "Qp0ZEV8zRbpaKNrVwu7iinA00BbsrlzGAMRkHKYQQggxaO8AmExE5QDqAFwA4MLeJxGRB8DJiI+J\n",
       "PCIiugrAxQBaATwA4HvMHCMiBcBuAJJEitTpTjA/0bUe9jWqUX9zZrSrVYn4mynib4anZFYkFuoM\n",
       "htqqQ/gosZSKpRBCiDFJpeSNiWRmjYguB7AGgIp4l3MlEV3a/fp93aeeh/jYxlA/ms0C8FlmPtDr\n",
       "XgYRrTraxZJEipSwufN1mzv/Y93k0UCbEu6oc0d8Td5wZwNH/E3IKJgainS1BGKBtgiAqEzkEUII\n",
       "MVYoSUwiAYCZVwNY3eu5+3odPwrg0X42ObF3AklEjzHzV5h5+9EuliRSDJvuqmUYxR89F2qvNUV8\n",
       "DdnhzgYl3FEHd/HMaLSrpSviawwhnlTK5J1hRkQZsGf9gkjNYS3yCEc6X0p3TCL9iIgAJH4jHuk3\n",
       "Y6J3gaWnQRzr1JG/YU1FzwMiMgE4vr8XSxIp0sruLdbs3uJDiWJ3tdITaq/LCnfUwlMyS4sGO7rC\n",
       "7TVBABFJKlOLiCzkLHhRLT91EUw2GE1bzyBb5qUc7vhnumMTQ9edCCqId4UpiYdqcSgmW4bZZHOb\n",
       "SVEVUhQFIFVRzQqIFFJU8k5YBEU1x9tRFAIpfSaIrGtgNogNnb3j54MNndE9HpoNTTe0qM7MuqGF\n",
       "NUOPGVrIp+nR4KE1bLsfOuLr2Y7KJJRsmReQajmPDa0K4fabmHnIq2mI0UkZodseEtGNAH4AwE5E\n",
       "/h4vxQD8qb/tpDSJJKL9AHyI/4MQY+YFqbyfGP0S1Up38UwA8WWIgq37M8KdDZ5QWzV5SufEIr5G\n",
       "f3elMiLd30k3T8mbMY/MdgCAmj87j7vqvwlg1CWRRGSDyXEuCIRY8N/MHEx3TMOhu5JgAqCqFodq\n",
       "cWVbVIvTopgslszyE0wmWwZMViepVierZjtUix2q2caKycqK2WaoZrtBqokV1awrqkUz2VxDTuQM\n",
       "LQJDi5GhR0mPhlTWYyY9FrYbWoTY0EiPhUmPhqDHQtAjAdIiAdajIXhK5xhgQzN0TdOjgWi0qzWq\n",
       "R4OH1rFFfC3bETVhj+xZV6r5c24i7wQvon5DP/Cf44hoxWhNiMXYxMy/AvArIrqFmW8YbDuprkQy\n",
       "gFOZuS3F9xFjlMnmYnfxzENJZTTQpoTaqj3hjnpvqL2aPCWzIqGOOl8s0BZGPKmUf6iHJgw9GgVg\n",
       "BRAvIBnGqEvUichBroKXlcLjFwFERv27bxPR6czsP/rVI193RdEEwKxaHCarO99msjptitlmyatY\n",
       "BpPNDZMtA2a7GyabWzfZMnSz3RMz2VxpqYgpJisUkzW+c5YT/U76DC0CLRJQ9GjIpIX9Vj0aULRw\n",
       "F8XCPmghP7SwHz3Xso0GWsM9NkzQkIYkk6zu85WsiV4AgNWtUGb5XA42FwCoH844xMiQzIk1yURE\n",
       "05h5B4CniOi43q8z8+b+tDMc3dkj8ycoRqVEpdJTOgdAfBZ4qK06K9xeqwZb9xuuvEnBQPPeLgBh\n",
       "Zv7EkkTiqD4wWna+CJN9JVlcVr3xg70cbr8x3UENmNXz32rJkkVk8xAAUNlJ87V9L30PwE/SHNmA\n",
       "de+XawZgduSMt6sWh907YZHZ4syCxZkFs9PLZrvHMDu9ms2dP6aqrYrJCovJanQnnocdytK91JhN\n",
       "jwQcWqRLiQbaoIX8iIU6KbNsnmbo0ZgW9odDbdURfJRgailJMFk3mBmUSB70qA4gkvT7iFEh2RNr\n",
       "kuhaAJcAuBV9L2J+Wn8aGY5K5MtEpAO4j5nvT/H9xDHm0Czw8hMAAF1Ne6zh9lpnsK2aMsvmaeHO\n",
       "el9313d4pHV7jUTMzET0ef3gGyuhmIoR9f+LmUdfBYVUN1TzR/96qxaAFHcaI+qX7oTRolocZltm\n",
       "scNkddpzpp5ismbkwZKRwxZntm5158Usziz5gNTD4ZYaA+LVzIi/xaSF/RmxUKcnFuxUYqEOjgXa\n",
       "4S0/wdBjoWgyE0wOd/7SqHt7gpI9pZRDbV3sr/2n9MYdu0bqxBpmvqT766lDaYdS2ftHRIXMXE9E\n",
       "uQBeAnAFM6/rfo2ZeYT+eEcuIsqYeMaV+d7xC8ZUxSEVusdTWoOtB9Rg60FE/c3BUHutT48GIjLQ\n",
       "fWwjRS0hT/lratlJk0AE/eD6fdy5fxnrsX3pji2hu0vaDMBi85bYLc4sp8XpNVs9BWzNyGOLK1u3\n",
       "uQtiyRiTKPrWI8FUY6FOJRZop1iog6KBduiRgKbHwpFYsD0S8TUe2u4V/diRixR1PCyuFdAilayF\n",
       "XxuWNyMOGSn5BRHxE5urj37iYXzpuFKk6n0Q0edwhG0Umfkf/WknpZXIRAWDmZuJ6GkACwCsS7xO\n",
       "RDf1OH0tM69NZTzi2NJ7PGWwZb851FGbH2iu6lmlTMz6lirlGMKGXkOq+Ux9z/M/BYg40vnzdCeQ\n",
       "3TtAWFWz3WLPKnV5x8+3Wd35is1TyFZ3fqLCKB9uhpFisqJ7dYhPdJVr4S6KhTpNsWC7LRbqVGLB\n",
       "DooFOzkaaIOnZJZu6FokFuoId+/K9bExmGzoVQD+MMxv55hFRKcCODXNYfRppM7ORnxv7SN9GOpX\n",
       "EpmySiQROQCozOwnIieAFwH8lJlf7H59RHxSGG1SUYnc9txvrjDI9BmASNEjL1esuuGXyWp7pOpZ\n",
       "pQw0V3Es2BHsatjhh4ylFEnSPUvaYvUU2KyuHJfJ7rHas0rY5ik0bJ7Cjy1tJUYXLdxF0a4WUyzU\n",
       "qWqRro8lmEYsrPeqYCZmkmuymsTwGCn5BRHx/26pHfT1F8wpTlklMllSWYnMB/B09+BiE4AnEgmk\n",
       "GDl2v3LPiewo+LbiHZ8JAOyvK97xwm3bpy2/5ul0x5ZKfVUpg60H8oOJZYT8Tb5IZ0NiGSGpUoqj\n",
       "OpQ0uvPtVnd+Rs6000x2bynZPPm61VMQs7nzA+mOUSSHyeZik80VQ3xNvY/pWcHUIgFKjMHUwn54\n",
       "x8+HEQtHe8wk75QVJca2kTomkoi+zMyPE9G1iFckqedXZr6tP+2kLIlk5ioAc1PVvkiOaNC3GAVT\n",
       "Mg894Sp0au17TgQwppPI3hw55TFHTnkMOLSMUGawZX92sK2aXXmTAoHmvX7EE0qpUgoAh08a7d4i\n",
       "3ZZZFJWu6WNTd4J52EpzNNCmaCGftWn7SxktO1/3I16lFGK4Obu/ZuDj3dqEI3dzf4zsWHOMs9gz\n",
       "NkYCDZ3ILPcAAAKNAZPZtjHNYaVV72WEDs34bt0PT+kcLdRW3RkLtifWpZQq5TFCkkaRDN3/vhgg\n",
       "xZzuWETqjdQlfhL7bTPzTUNpR5LIY9zkMy5ft+25Xz9gBFrOBREpeui1KSuufSrdcY0krrxJUVfe\n",
       "pChwSqJK6Q227FeDbdWcUTg9MZZSZnyPMd3L7VitngKbxZmdkTP1FIs9axwkaRRC9Jc6cifWAACI\n",
       "aCKA2wEsRrwC+SaA7zJzvyYiShIpUHH29bcB6Nf4h2Nd7yplYsZ3sOUAMsvm6dFAqz/UVp2Y8S3d\n",
       "VKNIn0mjt5RtmYWGPas0anFmyZhGIcSAjNRKZA9/AXA3gM92H18A4K8AFvbnYkkihRiCxFjK7Ekn\n",
       "JmZ8u0Ptdd5Q2wF4SmZFQu21fun6Hpl6zp6WpDG5Klff+iVdi51ObLQWzTrjp97xC7rSHZMQok92\n",
       "Zn6sx/HjRHRdfy+WJFKIJOk94zvsa1QjnQ3eYNtBJdRWQxlF08MRX5O/e5/vqCSVw4uIzAAs9qxS\n",
       "u9nhdeVMO81kzyyGJI3Jtf25315qZJRcQ+4SF2sR1Hzw0mRX/pTPmh2Z8uddHHNG8OzsLMQn0awm\n",
       "oh8gXn0E4pXI1f1tR5JIIVIksSVjn/t8t1VzRtH0SKSzsSsWbI9Aur+TqnthbzMAiyO73GF2ZDry\n",
       "Kpaptsxi2DwFhoxpTB0dOENxl7gAgExWIKNkUsMHz5WVLvrS/jSHJsSwG8Hd2Zvx8VnY3+r+mpid\n",
       "fUN/GpEkUowq+994ZHpXe/11IEWx2FyPTDnjv9em8n6GFkXLrv94PaVzfdaMnCEleb33+U5UKsMd\n",
       "9Uqooxae0jlaLNjeFWqrDiG+/lxM1pDrn0SV0eopsGo6X6FmTViukKLbXZm/L5q78l1HVmlEMVnT\n",
       "HeaxQdc1Zkb3GsFgLRwxO0qkyiuOSSN1Yg0zlyejHUkixahRt/mfhT5f24NKyYnjACDSsn3Ontfu\n",
       "+/ak0y5NyZJEdZv/WdhaU/kQ7Nl5jVVbAhaL+Zapy658Plnt965UauEuCrXXZIQ76rzhzgaOdjWz\n",
       "u7giEg20BSOdDRFIYtlzv2mz2eG1WN35dtVit+fNXK7YPAXcsn/zObAXflfxlnuYGeH6d0v99ZXn\n",
       "uvImNQ3kPrtevuv0SDh0CUCwWCx/nvrpq5L2/32sc3nzf+Gve+c+yhw/HpHOTiXa/q+C2Zc2pzsu\n",
       "IdJhhOaQH0NEMwHMAGBLPMfMf+7PtZJEilGjo37nSiV39rhEhQM5M/LC1esuApCSJLK1tvJ3VLJ4\n",
       "NikqACBSu+kHobbql+xZpSlZcNxkc3FG4bRIRuG0SOK57mplZrSrVU0klhlF06N6JBAKtVVHEN+v\n",
       "N4b4nr1jJrnsThZNiYc9q9Rqtnsc3gmLLNaMHLK4ctiakWtYXDmaNSMnlKgyNu19+zTFG1/zlIig\n",
       "eCeUddbtWFw4Z9W/+nvvqnWPzIjopl9T8aJCIkK0pXLa3tfua5542qVvp+K9jjXjl359W9P2l1d1\n",
       "VG853mJ315avvKEy3TEJIfpGRDcBOAVABYDnAKwA8AYASSLF2KKqaoMRDcZgccUX6dXCAKglZTdU\n",
       "rO5EAgkAZPO4Oms+yLRnlQ5bVeVQF3gPYV+jGvU3u2OhTiUaaEMs0IZooB2ekllRLRIIR3yNYT0a\n",
       "PLRfL0Zogtk9blFNPMzOLLPFmW1TLXabd/xCs9nphcXphdmRyWa7x7Bk5MZs7vyj7BnPzRwLgcz2\n",
       "+GHEFzBbHQcHElewo/5cKpxfmPiwQllTckM16z8DQJLIfsqbcUZ73owzXk53HEKkmzpyx0QmnA9g\n",
       "DoDNzPx1IsoH8ER/L5YkUowaE0/7zrM7Xrj9s6yHToJiVrltzwdlx6/6XaruR3p4D8eC88jsIDYM\n",
       "INDclHPShalLWvupr8QSiCeXsUC7Uwv73Fq4i7SwH7FQB8dCfmSWzdMNPRrTo6GoHgtpWsin6dGg\n",
       "AaCvBxDfO7XfiWd35TDxUHo8CICiWhyKye42mawZFtVstZBqNmdPXkomWwZMVieZbBkwOzyGye7R\n",
       "Lc4sbbCTXkrnrfzlwXf/PZ0zSqdCD0eVcNvzE1f94L2BtKGopirNVxPjWMgMRQU5cjRFNe0fTDxC\n",
       "iGPbCJ5YkxBiZp2INCLyAGgCUNrfiyWJFKOGyerkGWdf9/UDbzw004jGLEVLL96a6FruOPieo+PA\n",
       "5lJX/pSGnClLO5Nxv/JFX7hh/1t/UwyTbRK0iN9bOOk6k9U54ip6CYdLLgHA0CKIBjtULex36JGA\n",
       "woZGeixMejQEPRaCHg3BiIWgR8NgNogNnb3j5wNsEDMbYDaYDSbqHuETryLGq4mksHfCIgCAarFD\n",
       "NduhWuxQTBZSTFaOP2djxWRlk9Wlm+xu3eLMCiVi8zfstFW/8/RXGezyFlc8UTTvnIbB/gw8JbND\n",
       "07LKPt/wwfOlJntWqHDOpQMaC9n9Hhq0WFCnvJlm6FEY1RsCpfPPfezoVwohxMepSrojOKq3icgL\n",
       "4H4A7wD6AbwjAAAgAElEQVQIIL5rTb9Qunq5iIiZecSn6CMNEWVMPOPKfO/4BUfp1hs+jR+uyW6p\n",
       "2vx1ELSCaSc/lD3pRN+Rzo/4W9SmbWtKre78zrwZZ7QP9f57X7//uGBX5+3kLMjnUGurWcWvp336\n",
       "qn6PgRNHZ2gRGFqMAEAxmTn+deCznWvefqq0s3HPFxRFaS1fdNEThqHTvvVPPEUFc4+HYiaj8YMq\n",
       "b17pRaULLhhQF3QyffjMLQ+hZMmZie5sw9+g2cN1X5y07KoN6YppJKvZ9L8lejRoKzruM/tkLcj+\n",
       "27/uQUfLjteqZGmv5Bsp+QUR8fqqwXdenTg+B8P5PoioHICbmT/o7zVSiRRD0rB1dU7zga1PUcHx\n",
       "UwBG3fb/rCBSz8+auMjf1/lN21/2Nu7Z9Di5isdx585QS9XmJ2ac/f3bhxJD0Nd2E5UsnkhEoMxx\n",
       "rljtxmsMLfovxWSBv2GnzZkzPqyYLEO5xTFPMVmhmKxD+sS5/41Hp/l8rQ8r+ceX6VpY37Pu0RVm\n",
       "i+UJyq04jqzueIJaNH98Z80b3ysFrkxO5IPArIEZSIyJ5JimqKbQUa465hhaFNtX/+5WduQvI8Vi\n",
       "2vHSPZXj5p/3JXdRRTgV99MiARrJPQFC9CXZ3dlEtBzxva5VAA8w86/7OOdUAL9HfCWLFmY+9Qjt\n",
       "EeJbHp6E+PqQ6wBIEimGR8v+9y6nwoVTKJGkFcyd2VD5+leyJi76Q1/nN+3d9EsqXjSXVDMI8OrN\n",
       "2y+uffupp4rnf7520EGYLDbq+RfVZLMd3PD4tM6Wg3+FanHB0NtdmQX/PfHUS2RiRBp1tdVdo5Se\n",
       "WEZEgNmuImvyQr11+ybuuQpGfGhlWjuA3PnlN3fUvT1dyZ0+AbFgFO1V/yk/+7r30xnTSOJv2Gk7\n",
       "8PY/fmEY+izKHD9N8ZTFf4+48hcefPdfPyg19FsCTXsz8yo+3ZCMpG/v6w/MC/pab4HZ4UbU35hb\n",
       "Pu+SgtkrZMkgMSokc2INEamI73N9BoBaxLui/83MlT3OyQRwD4AzmbmGiHKO0uwfAExEfMcaAnAp\n",
       "ES1j5sv6E5MkkeKoat7+e2l7/a67YHZ4EQu15JTNvKxw7qrG7pd7/Q0hgA5ffmcyeRTV/NHZtszM\n",
       "sK8xD/G/EINCsdAujnZNJ4tLYS0CDncc6Ay2/p9SvDCTzE5wxwFHV0fVHwDMH+w9RFL0+nOhkNnq\n",
       "2hxp2b6FC4+fA8UCo/G9g56c0iFVpoeqbOGFVZatqz/TfnDrmYrJ1Dxx+dUvjeVKduXqWy/UouFl\n",
       "RKguX3TBr1x5kyJHOv/Apv+7E4XHn0XBFiKr59DzZLaTrscWHty69jVYXPbWNXdU50+cf3FexbK2\n",
       "3m1okQDteumuG3RS55Ku+XLGz/1BwawVn+j3M7Qogr7W31HJ4mlEBDb0suYDG+4omL3ioqS8+RTa\n",
       "/co9SyMB/8WAEckqnfmLoYz1FaNXkiuRCwDsYeb9AEBETwI4F0DPZbQuAvB/zFwDAMx8tP700wDM\n",
       "SGzDS0SPANje34AkiRxDdqy5/dxYTLsUiqIoRuT16cuvvTkZv/za63f/gUpOPI4UBWzok1oObrin\n",
       "cO6q8wFAVUw7YnWbQrBk2MnqBvy1lXnTTnr8cG0pxBu5q2kRufJszAzuPHAwa+bpuxKvV2/8a1mg\n",
       "tWa+zZW1vfzkb/S5vlzLrnWeYMu+nOwpp1TXbP7XGcyscO3G7WR2+snQGt3e/Lv9UeUFxeICAJC3\n",
       "HNxVnx1o2W9x5pTLVndpYvfk/CHY+P5c5M0ughZmbtv1XunSi98I+5o21W198TIGu715Ex4sXfjF\n",
       "/Udrq7PmA3vN5ud+zKQUKAptmnbm1X9MZqJXMGtFS8GsFf1e5mK02vbMr76nw3QlOfNUIxbEvvWP\n",
       "nzRz1Y2nH+lnyWbnZMXsIDhywG17AOssEBGMtr3tMDmKlcJ5WQDAmeU5TfveujmvYtmlvdvY+eKd\n",
       "P+LsGV9XHFlW1jU0V71VnD1x8creYyp9ddscsLrdh5ZbUlSwastO7k8h+Xa/+oelYUO9k0qX5IEN\n",
       "tNZuqrA4vecla9KfOGYVA6jucVwDYGGvcyYDMBPRawAyANzBzEeaGLgHQBmA/d3HZd3P9YskkWPE\n",
       "gfWPTYyR7SdKSUU+AHBXw8SdL91ZM33F94Y0q9TQooDZmU1KvIeRu+phALM/fOZXt9rsGX/XLJ7v\n",
       "q7kz7ABgtFQGrTb7LUf6h3L6md+9s/KF2yxGZ9ViGLGwJ6fsx97y4wMAsPPFO86Osvln5J1a4A+1\n",
       "tG977jf32Z2edZFg5xy7O29D+Ulf21W5+tavamS5jKyZGR3r/xIkZ46DyuZ5SAsZXPfO+mnLr768\n",
       "eceruf7GGh3df76ZGTBiUUkg02viKZe8t2/tn74ZrF53MSmmunELz7/HnlUas2eVxrzlx/+2v+0Y\n",
       "WhQH3/33I1S04CQy22F0NZ1c+cJtmRUrb7g5lfGPRZpufE0tPUGl7t4Bve6dKbXvPFV+xH2utXCY\n",
       "mUFmB+AuhX5wXUBRLZsVI7KRPeO/kziNVDMMxezpqwlDsRynOLKs8fNMYFdBadO2lwp7D2txF1UE\n",
       "8f4LbcxcRERgLQrSQvVJeOspFQl0XEQlJ+UREUAqkD11SsvejafmTFkqE/6OMUmend2f4SFmAMcB\n",
       "OB2AA8AGInqLmXf3PImInun+NgNAJRFt6m5/AQawJq4kkWNEsLN+CWXHE0gAIFeBQ2/fvRjAkJJI\n",
       "xWQBtEA7M4/jzgOAYoKp7CQna5EvBmvePJWKF+UdumfWFEe05s1PATjsIsOKyYKKlTf0ubZjNBq9\n",
       "TCk5rgAAyO71agfqLw0Ylkspu8Lr99U2VT7/21s1xfodpWBuCQAonjIPN2+N79FrdiicUVTRsOXZ\n",
       "4pIFF9S0/OsXzxidBz9DNq9qtO6KWCzW7w/l5yCGbvtzv7lCV+1fhrPAwoGmvXo0+MfBtNO6e70X\n",
       "jrxJiQXFyZVnMzoPLE5qsMcIUk026jm8xJqpdDVVLcRHVYlPsLs8PwvVvfNrOPNyjWBzq93h/umU\n",
       "ZVe85KvbZjuw+blz4C6dQkTgUHtUZX1Ln40Y0RAbBhIfThHtCjpyKj7x4VMxWeDOLbvMV7P+Vlbt\n",
       "HmihusJpS68a2rseFkEYGpD42WrhqKqahrwShRh9BtKd/fab6/DOhjeOdEotPr6GYyni1cieqhGf\n",
       "TBMCECKi/yC+mPjuXufd2us4kaAS+pesApAkcsyw2t1bA4HmDrK6MwGAw50akdL7D82geHLHXdlZ\n",
       "8+YdDJquli6xAQCZrCDPODe6GiLwjo+v9RLpjCqqafD3VNRDfx6ZGWSyZyhZk0wAQLnuPK3mra/D\n",
       "luFInEOKAgM9PubpMU21OqIAUHH296/a+9of/xHrqp2QmTvu5ZIFF/TsAhDDrPqtJ8p1q/ebSs60\n",
       "HABgT3le7ZbVP80sm3fdQNuyeYtCOLBVSxx3V5q1I10j+sbRUJsR8Rcr1gwwMzjQBF3XZ1au/p1F\n",
       "0/VPk2GEskorftxzPN+k0769oePge8s7Dmwu8Uw/sc47fkEXALiLKsLuA+9/01e9/pesWmyKEX1/\n",
       "yqevvKWv+3ryyn/YWbvxAWQUlXCk02cyIvcn2ult3OIv7QVwXkp+ACmSN2H+Lxv3bpyF7GkzYESi\n",
       "aNv7+vjlV69Ld1xi+A1kSOSCE5diwYlLDx3fe9snJl6/A2By91I8dQAuAHBhr3P+BeDu7kk4VsS7\n",
       "u2/r3RAzr/0oRipAfM4AA9jEzP1eX1eSyDFiwmnffn/7c79+UKtrP59Us0qRjvemnHH5Hclou2zR\n",
       "RXsBrNz6zM2PM/Nph2ZCa+EuBBo2G1r4OBCBgo3vTDnzu48M9j6kR97grqaJ5MqzI+LTQEoMPf+M\n",
       "KiYDXQ11nDk+mxQVHGrXEO4Ic8TnQsQXVMItLxfO+VZTzTt/L+mo3/1LVsxOhfV3C+as7P1JTQyz\n",
       "sK+pmBxlWYljMtvAZModTFsZBVPDqv6vv+itO79Btqwso/PgQYcrU7qyB8Fic/wh1lz5M101qYgG\n",
       "AIuLDZPlIrZlmxTveBMbOlpr3prgzC1f5SmZfWiZo8yyecHMsnm7erfXnfB98Wj3LVt4YZW/YefZ\n",
       "rbvWlduLJzXnzzyzNclvLa3yKpa1WTJyzmuqfHWJopj85cuv3iTLE4mhYmaNiC4HsAbxJX4eZOZK\n",
       "Irq0+/X7mHkHEb2A+DI9BoD7mfmwE2WI6AsAfgvg9e6n7iai65j5qf7EJIuNjzJHW2w8FuxQtLBf\n",
       "Tezkkkz71/95qq+96QHFO2E8R3w+Jdjwt4qVN9zUsHV1Dhuakl9xZtNQJjcYWhQ7XrzjG4amLSTC\n",
       "XoONMsqddRbZvRbuagxS++4/Z5XNvK/1wNZbWLW4FSO21Z1X/nBX68FPmcy2fRNP+85/gm0HrVUb\n",
       "//4cFS+eTooCDrZGqG3nvRUrr/9NEn8Uo0LE36K27duQ7S0/oc3mKTxspa5+yzN5bQc//C8QwkUV\n",
       "pz9wuIrQUDRtf9nbsP+DZ5TCE8YTETjQHFY69tw64+zv97kUVH8cfPPRiRFfS0lG8Yxtfc3sHQ2a\n",
       "K1/zNu7e8GtWLVmKEds58eSv/eRI/6+Sae/aP80P+tt/xaqtjMPtFiVnillxl5LRuBVK/qxD57G/\n",
       "PmaPNJw/8Ywr3xmOuI4Vsth46oyU/IKI+MO6wc+lmlnkSfli40T0AYAzEtVHIsoF8Aozz+7P9VKJ\n",
       "HGPMjkwjVbtGlJ948c7mytfOaT+4eY7F7mkoX3nDDiA+k7XneaG2avPe9Y/fzIplMoyoP7t4+nVF\n",
       "x5131MHwismCGWdd9yCAB4H4MiA7X7r7cjb06arJvHHqimsfVUwWFM5Z9V+9Ln0k8U3LztfLKaOk\n",
       "JDHWihzZVqNdOWFo73z0qXrjkRld7Y13w5GT1VLzeKfN7vrR5E995xPdaXWb/1nYWrf7f6nghIlg\n",
       "HTVbX14OUj+XmOw0FG1738pw5IwL2TyFWt6MM9r9zVVXBGve/CErZrPCsbemLb9m0AkkAJQt+epe\n",
       "AHuHGme6GFoUDbvffJiKF89XVDM44l+w5z8P22euuvGa4bh30N/+aypZPFUhgtG+D2TLPPQ6GzpI\n",
       "UePnRv1dhhZxNG1/2ZuMHaaGKhbsUHa9eu9VbBiTVYv1P9OXX/tkumMS4nBG/tbZIAA9111txSeW\n",
       "Yzs8SSLFgOROP609d/ppa490zt71j9+C/LlfUCwuJd4dtuHhvIplKwbanWOyOrli5fV3DeQau7ek\n",
       "xV+710/xGWfxX4Z6bECVtVBbtbn9wLvZWRMWtgxXVSjZutobbqaSJVOJCMycG6596ybEZ+t9TFvN\n",
       "9qupePFESgxHzZs1q2H7K5/zlh//58Heu33/u86aLS88AntOOe/cEDWR/sCMFd97eOIpl7wH4PzB\n",
       "tjvWdBzYnAFbTkliYgtZM1RDtU8bjnt31mx1wurJOLR0jjMfRsuOmFJ4nJmyJsGo3aRT5jjmcIcf\n",
       "gWY94in7Y2P1rmBL1ebHZpz9/TuHI8bD2fnyPX9E7uzlZM80ab7as7Y+fdM5FatuvKh3L8jeV++Z\n",
       "p0VCJZmls94ca93lYvRQRn4S+QKANUT0F8STxwsArO7vxSN/a3Ax6rBimUwWlwLE13WDMze/Zefa\n",
       "o62anxT5M89sNemBh43GLXXcXtXBNRs+zC6b+YP+Xr/ntfsW7nnzyZdb29pe2L3usZf2vv7AvFTG\n",
       "mzImm+tQgkAEmOzOWLCj77/vH/uoTIf+M1i1W1/8GRUtWKLkzShSi04o11XX5XWbny4cSptjkTNv\n",
       "UpBjXYfGGTIzoIf7vWXg9ud+852tz9369NZnbvn7ntfu671W3BF5SmYFEG5vOzScSTEDkc73uWbD\n",
       "Om7a8qZZxf84ok2foWDz+0rpiTnkHZ+p5M8q0s3ur9W998+Cgdwrmbqa9ljZ6plL9kwTACjuYjPb\n",
       "vEsrV9/6057nbXvm5ltCiufJaObkexsPfPjvqnWPzEhPxOJYRzT4R+pjIwJwF4D7AMwGMAvAfczc\n",
       "79VMpBIpkk+PBnou38FhXyCj6IxhW2R3+lnX/aG58rW/htqrvblzvlw9kPGhQX/7z8iZPwlaCHDk\n",
       "5QY6G34J4KwUhpsSFAse5Fh4GpltYF0Dov66voY5eIun3dFa9/YSpWDeBLAObvzgw4I5Z/59KPdm\n",
       "UgsUs+2jWOxZ2aH2miIAI359v+FkzcjRLapyR6x+87Vky/JwoL7R5S38UX+urXzhtguMjJIrFXep\n",
       "m5kRanj/zrrNT59XdNxn+vUzVkwWePLGXdZRve5WNriUjJgvu3Tmf/dep3Hrs79V6aNFE0A2jzvc\n",
       "UZ8LIC27r5isTp117WN/jklRFcNkW5I4rn37qWLDnrtCyRznIgBcNL+8q2b9jQC+PNzxCjEKPM/M\n",
       "MwH832AuliRSAAAOvPnYJF9r7U9AqkUlfmXG2d//02Db8hZNvq695s0H2ZlfwJGOLotJ+d1wL/Sd\n",
       "O/20dgADGr9laFEwa+WKMxdk84BDbTD8NeNTFGJKlcxd8d81W1b/zlBspaSHW/Inzr+2r/OKj/9s\n",
       "nfL+M+e31bz9TQDhopmf+tNQx0Mq4C0cal9Cdq+FmWH4aqs9k0/o9w4Ix5Jpy7/799Y961/satyd\n",
       "mzX93NqMgqn9qkTqscinyF3qBrorzZnlJb6GnYuLgH/0997uoun1nU37LUrBnAKQUtBWv+VR687X\n",
       "z8+ZekpH4hyFjI0caFpAzjwbGwbYV30we+7ytP2/tHkKNdWIPG207bmCnHkK++sARy7gqz6UWGoR\n",
       "v4NMtkN920QEJtOgf9ftevH2ZbFoeLbNlfXqxFO/9d5Q34M4tihD69hJKWZmInqXiBYw86bBtCFJ\n",
       "pEDrnvVuX3vDg1SyZBIRwfDVzq1c/bvw9BXfG9S4uJITzq/JD3asaN7xWn5G0Ynt/f3FOBKQyWEi\n",
       "W3yTDbJngVSbCsQn+VS9fv+Jhq658qafti4ZE09SqXsJlsv6c27h3FWNhXNX/TJZ95667PLf7nzx\n",
       "Treh2uZBj8acGVk/l+3eDi970om+7Ekn+gZ2FddzLMhkdsR/Q4U7/Rabc9/hzm744Llcf92OGbbM\n",
       "ggOJ3WjqPljzFcqfO4esGfGTCk+Y3rBz/RU5U0/5eeK66Wd+9/bKF24zGR1Vi2DEQpl543/Uc6mf\n",
       "dKhYef1vPvznzzxGqP3zlFHkRLij0ayqDyZeL5hzzj7fq/fthKtgPpms4I4DHSZVeW4w99r27C0/\n",
       "Zfe4L8Kb7Qr6qi+ufOG2m6cvv0Ym8oh+GwUTaxYB+DIRHQCQ+L3GMjv7GGVoUex88Y4v61pslsWe\n",
       "sWbKsitePdo1bXs3zSHPhAmHxtC5i12678BpAAY9ucLsyDT627U2UigmCwhGLYCJiecIXK1FArTj\n",
       "hd8/jKwpJ7NqsdZ88FJlLND2hbyKZW1pDHfEMlmdXLHqB/3qlhWDU77wCzdXbXhyOrsKp0KLxJSY\n",
       "79kJK294v69zd7/6h6XhSOw3cI8vC3e1tvif/+29M8667o8MWNA9AxsAoKgAwdrz2iPtMJVOM8/7\n",
       "8Q+rXr//L+Gug7OdmYWbypZcemiWvjUjRy+Zs/xLdR+s+RFDyTZZraunrbj26Z7Xa5EAHW2iX6it\n",
       "2myYnGcq7hIXAFD2lBytduNXAEgSKfptFEysObP7a88da/pNksgxZvvzv/s9sqedA3u2Ldp54Ozt\n",
       "z//29hlnXffAka6xOD0N4aivk5DnBQDWooChH5OVI5NCD2gtldfAmZ8Lf32D2WT6477X/3QKsqac\n",
       "QhmFFgLAxQunN+3d8KO8imUpX4pltGiv2uRq27dxis1d0Nh7XJ1IPkdWWcRssT+lddUtMVkca6et\n",
       "vOHfhzs3HOz6HhUvKiMiwJmbo9W985VwZ/39ueOPf6Jx3+bPoWj+ZJACo35zVXbR1CEtuzScxp9y\n",
       "yTYA2/p6zVt+fMBbfvwnJtTtWHP7eTFNuxqq1Yqob++4E877pruo4lBPSXvVJpclIy/qzCmP6lpE\n",
       "AfWuI8VTgr1r7z8u5G8+R1XN+yafftljspC4GK2YeT8RHQ/gJMQXJ1/PzJv7e70kkWOIv2Gnja3u\n",
       "ExVnbnxWg3e8Vw82nwfgiEnkuJP+a/e2Z2/5m6FHP0Nmp419B/cVTlv6k+GIeaSZvuLaPx98889v\n",
       "BDt2zXR6i7eULvr2gR2rf3suTNaP1g+JV2zsQ71XfB3Mu65h0Cxivbp88UU/H+6xo8lwYP1jk30d\n",
       "DfeTe1xZsKOts/O53zyc7mVgxrrK1bf+ir2TvgBHrl3zVZ+5/fnflMw46zALtytmc89ciEw2c7iz\n",
       "wZJXsazN0KOfb9m/4WoCqVlFU+4uPv5zdcP1HlLNV7fNVv/BCycrpETKlnzljY4D72bGWP2BUnx8\n",
       "CQBwLFha/e6/fl5RVHFdV9Mea9WGJx+CPWcK9IimGpEnZ5z9/Tso0vkWB1tXwZ5lRWd1p4rYsztf\n",
       "vOPsKNl/QUWL8vSIP7pjze1LZ5x13SVD2WhBjF0jvRBJRD8G8HnEx1MTgIeJ6O/M/PMjXxknSeQY\n",
       "QorK+MQORP37gFyx8oaf1b33zz/FAm0Z+ad8vSod6yPuf+PRaYH2us+RotRNPPkbf7Zm5KRlJ4ey\n",
       "JRfvA3BofFnu5CWv1VW+sQvFC6eAFHDz9ka70/vYUO+zc82dN3NuxQVk91o4FjSq1j9eNvPcH311\n",
       "qO0ON19rzc+o9MTJRATKKMzTG7d8pXXP+kcGPs5P9EfE36IaJudpiqsg/kEmszxTDzafC6DPJFLR\n",
       "wxs50DKVnDk2jgUZ4bbdmWXzggBQMPvs5oLZZ/9w+KIfHq171rvrtr/+N8qePhOGpu969d4NDpfn\n",
       "t+TMO7TUGJkdZJC5BAD2b3zqh1Q0/5TEGFO9ddc3D7zx8HMzzrruqh1r7njfaInONNtcL009+/oX\n",
       "tj77m6eUkuPyAACOLIvhLFhQv+WZorGUgIvkUUb+oMgvA5jNzGEAIKKbAWwBIEnkscaVNymiRLte\n",
       "YX/d+bBnO7jzYKtJob/29/qieec1IE1Ld+x59d5FoZh2FxUuKOJYQNv16r2fmr78uxcPZzeRr26b\n",
       "rb3q7WJ38ayGnhNnsied6It2tX6x9eCbPwSR1ebI/POkT33nzaHezzDbjlPsXgsAkNmhGLbMaaG2\n",
       "anMqtqxMKZPF+rFeP7PTFm6vywAgSWQKKKqJ0fvTYq/9a3uO+Zu+4tqfVq75fRu37TqOYNSOW3D+\n",
       "L4Yx3LSo3/76tVS0YBaZrABggmpeEm3dXmFEtAbFVVhOROCIX1dY697/m0oOTVICAHt2VsS3d4Ji\n",
       "suyZcfZ1D6flTYgxYeTnkKgFYAeQGNZhA1DT34sliRxjpp917Q92v3LPG1rnvlk2p/eVSSuufXsw\n",
       "7RhaFJUv3HadQeYlMGIRV2bBz8Yv/dphN3EfqnCw8zIqXlwUXxjbYoKnfEHNxr9MKz/5kspU3bOn\n",
       "vWv/ND8Y8N1Kjvyczu3/aWva/ebPpi674sXE64Vzz2ksnHvOlUm9qRaLMfOhYVesRaNWd/7oSiAB\n",
       "KEZsIwea55Az18ZaFOiq35+36LJRNalqNDE7Mg1FC7zC/roLYM9xsq+mXYX+DwCo3vhkeUdT1T0w\n",
       "u7IRDbS7c0quHLfky7srzh7Yzk9jQAbUHt3LJqvKimqxW603hGs2/IBNVivFgpUTT/n6zwFAUZRN\n",
       "RlfTKeTKszEz4DtYk1EweUtfDVss1oejzdsnUdbkPER8UQo0bCw85StShRSjlQ/ANiJK/L5bBmAT\n",
       "Ed2F+CztI/7ekyRyjFFMFkw987vPARjUkhYJO9bcfhlnTv620v2Palfdpntb96xfmaouSgb3/sBG\n",
       "qd54vqegv/0mKlk8kYigess90ZoNNwB48agXDoHV7rgt0rjll8goLuFgc5NJMR4ajeOqpi+/5teV\n",
       "a34fMtr3LCBD6yiceuKPUrV/+1jVsmudp6thR5GndE61d/yCo27TWbHqxv/Z+cLvN8U69s21Odyv\n",
       "TT77+28AQEdT1e1UcuLc7u0uS301b94O4OyUv4ERxuktfKircctS5M8pAjO4+cO9WWWz/1kwa0UL\n",
       "gE/sIT/tzKvvrVx9W7bhO7AYRkyz2TNuLZx7TmNfbU/99FXP7339/vpQ3VvnqKpp7+Qzr35iNP69\n",
       "FcNjFGwL+HT3A4iPf1vb/ZXQj/FwkkSKjwm07Lc0bHm2QouGlyUm6BAR4B43rr3q7WnZk04c1IKk\n",
       "R2Ozu+8LN304HTnTCxHr0rlz/7uly787LFVIAIBqtX+sS9Zkt/dnGZChmHLG5a/Ub3lma1fD7ml2\n",
       "b1FVyYJLq1N1r1RSTBZUnH29TKQZpJ0v3bkiqvH/kCMnx7f9jcbWqnev7zlcYs+r9y4KBTquAilk\n",
       "sVgfm/rpq54DgKnLv/sMgGc+1pjJntVzu0s22TOH8a2MGOOXfv3DvWvvvzRU88a3wNC9hZNv6U4g\n",
       "+6SYLKhYdUO/10rt3gdeFh4XR/WJCf4jDDM/MpTrJYkcReZ/6wll3tceuBEgJ4Ao4p8SGPFp+T2/\n",
       "jwIIIT7GofcjAKAT8d1cPrYIeHvVJlfN1pf/St6JFeRxKUbjFij5c+K/jCId7VZ3fsrGS04+/bI3\n",
       "qtY9/NVA3YYLFEWtmXDqNx4azvGQpAV2cyw4hcwOYi0CRH0HhuP+hXNWNWEOmlJ9n/4KtVWbD276\n",
       "3+XMbMufdsrq/lTFxNBEI5HrlJJF4wBAcZdOCNVs+BG6t9o8+NZfJoSisbuoZEkRESHasmPanlfv\n",
       "bZ30qW+/1WdjsWATG/pEUlQYWgwcaovsfvH3S8sWf+XNdE1US5eJp16yGcC3j3ROuLPetP/NJ84x\n",
       "DCMze9ycf+XPPLN1mMITx4hRsE7kkEgSObooqtl2QxLbiyKeUHYA6LBmlhQUL/5qqabr0GIRRH0N\n",
       "RqyjNqhroS4l5n+sdOElB3tevPe1+04Id7WfZrLatkz99NVD7vodv/Tr2wD8eKjtDMa4BedfdeDt\n",
       "fzlM7n0AACAASURBVHQZirmc9GhjccXp1w+0jebK17yB5r35WZMW7++59txQ7HrprjMikcBXiWE4\n",
       "PLm3Tjj5Gx8ko92+hNqqzXvWPfok5VYsAKlKzdZXLtGjoS/03AZPJJcWCRBMtkPLRRERWLUe2njc\n",
       "33JwFeXPKzpUXcyemhuuXvd5AH0mkbnl877TvH/D3YZqzUc0UEB5syZHmB/f9eq9myYt/epFo27S\n",
       "Vg87Xrjt81o0sgzETWXHn/uL/vwdC3fWm2rf+ftsUlStbMlXt/b8YBjxt6i71z74BOXOXAzVojbt\n",
       "3/I1LdL1RZllLUT/SRI5uhh6LHwzQC7VbNUQH7OQeCg9vrcd4eEC4AGQCcAKILf7AYe3CI6P3W6y\n",
       "0n2+C8D3AFwM4CCA/b6G3ZnW/BmL/5+98w6Pozrf9nOmbK/qvcuWLFfcMWAMNu6QBEz9BUILEHro\n",
       "pEDgo/cWQoAESEIJkBBwwxjccMG9yUW2LNnqvW3f2Xm/P2ZXkmXJKla1576uc83O7jkz79ja2WfO\n",
       "eQtitCZ/fYkz95tnP85Z+PDjfXjtfYo5Zrhn5MJH2q0v3RX2L3/5KgniPUxvtzZtX1JuOrLlN6nn\n",
       "nFog0uFV70z0QvMCix8TBQDO8u1ZxVs+vyxh4qI+WfYu3PTppSxq1CSmD1PceOIm5ZTnrb8vYvj0\n",
       "P/TF+fqT/FVvj/O5m7JM4YkbEidfdbQvz9UdNwhBayT4Go+Q35PERB3I55SZ5MwLfc4LwlHJ6/BC\n",
       "NCiVZHwOmXFch5GTMaPnVsWMnntF7jfPPEQJk+5iogEAOAjayYWbPrkqe96DPa5CNZDsW/rCTbIx\n",
       "7j4Wk2QhvxtHt/w3O3tOymUn+3duLM3VHd3y1ScsLGMMZEk+sPyV9cNn3XF9yF/36IaPzmPhWVOY\n",
       "IVwp2xM3Kb2ueMMj8eNxZz9dlsoZwCBfzQZjbBERfd7Zex2hisghxJa/XiMzxp5Jn3lXtD11kqsX\n",
       "DqmDIiitAGx1R3ec5/a4bxas8SZB0ECEz20Miy/kOCECQASA6GCbaInJhCUmM3Qcoxzw30REUxlj\n",
       "BwEcBJAX3Bahq8kqhwiehjLh8Nq/P0u8LhuSz2UOi/m9P4A7+PixCQAAS5LZUbzhCQCXndJ5mmqu\n",
       "YonnRDX71ERkJzRW7lyIDvIBnipEshGc2OIHzgkAtXmuGILsW/zcQ7Ix5jqEJVrr64+Vub57/dHh\n",
       "s+7q9aApZ3WhpmD9x38hrSkLAZ9XFPg3s2bf+2Vn4xLHzru5eOeyp2ROTCC/S8PzwrHiLZ8nJkxc\n",
       "VJQx47b/Hfj21bmyr3EaYwJHTcd2pZ9z7ZudHZOIbOBbVTAUtLwsy2GndoUDR4DYHM6aZAEAJupB\n",
       "lvhh5bsWxydMuqJDQV207et7WNyEiaHUPSQYpuevee/nWXPv/xIAiGQdOKGl7iPjAKb+Jqr0LkMg\n",
       "sOZRAG0FY3vvtYv6hTmzCflJVgCAPXnc5soVr+3z+9ZdCVkOmCMSnjKf/cvDwb4CgBgAyQCSqgt3\n",
       "PChaE6I0Wh1EjQ6CIDIAI4Ot7TkOATgAYC+APcGtEwNMTwNn8td+8CSixl7Oac08EaGpeOM70Fqb\n",
       "lyCVJUnNKVe0YYxVkOQmhPLX+Rw+juP7bKktInX8fyqObLsWcZMzwDhQxc4Sc3jCO311vv7AWV2o\n",
       "CfD6X3D2NCsAMN2oWF/xpjvQB5H3hRs/+SPixs/iRAMHAP6K3Q+X7fz6x46ifEPYksa5dNaYBw6t\n",
       "/tunXOz4s0jQTait3LNQ+vHD61POue7AiHkP3FKy9fMUWfIJ8bPvye/K36wpPOGDpsrdFyJ6bDwA\n",
       "yJV7CyPisj7rnSsdAGQp0DodFvw+n2iIc59sCJEcCUHfMg+kMYiyLEWHdmNGXrT62PYlexE3cRR4\n",
       "DahiV6nREjWk/95VBh+DNbCGMTYXiu91PGPsdbQU1zED6LLbiyoiVY5j+EV3LwWwtJ2PJCgJSIsB\n",
       "rK/M/c4uG+PvgDXRCle1R3AULc2affeHAIYF2/DgNgbAqGBbFDwWQakIsyfYdge3TX13ZS3UHF5v\n",
       "Kc1d/S605iRIHqdOb3oy88LfrOnqeJnTDOe0Zh4ICkZjTAQaCkpIyoxhggbkaZC4gGfvqdqZNPEX\n",
       "rxX+9MVE2FLHQg5IaDy2IWPOPf871eN2RNSImXWS13VFbdGGBwGI5rC4P6dMuzav04F9yKlGyPtd\n",
       "dcJxs6sAwPF9MjkgMz45JCABgBmiop1VR5IRfEjrCMnrZEU/fTaFhQ2byHRWDgC42PFJjuIf7wVw\n",
       "CydokDjlmsLu2JIy7dqDR9a+f5OreP3tAMm2iOQX48762ZDN3Wkwhz/vLN+exNlSk+BpbOJ8tUui\n",
       "R97SSRCM3ECVe/yIGiUCgFy175gtOqO5xrg1YbQ7ztN0edn+NQ8AMJpssX9LPff6U/7eqqi0ZhAH\n",
       "1pQC2AbgkuA2ZGkjgHu7ehBVRKr0iBHzH/zzwRWvHfEXFc7kBc3OYRfd/c/gR1vbdLUCyASQjRYx\n",
       "mQ0gPdh+FuxHUJa/t0L5g96KVqUHe5Oy/WteYPFTzmHB3G6eks1PNpUfvMgcM7xLwTAs4K2ngATG\n",
       "B78+3vrG8IScG+rKfvqDzIlhnBzYl3H+r7tUMupkmGOGe4ZdcMsVpdu+yGa8ICXNf+BAX+ejixt3\n",
       "cXncuIt/26cn6QJHN/4rvbGq6E1ojHb4HLXWqOQ7k6Zcnd/d49iSxrmKdyzZS96mKKY1C9RU5uRk\n",
       "36qe2OSuLRLzf/zHyyTqh0Hyeg2WiMfSp9/UnOaFo0AeeRvPY1qLAADkLCs1xQ/v8G/4wLevXuKX\n",
       "pHvAa3Xkqq1h+vjj5yxOSJ3aPYJBWLecyjFaoYNS1UIPZYUu1EL+2AhuZSirDz4A3mALZZLoMenn\n",
       "37ytbOfXP2soy5uq0RoK0xY8svNk/fO+e2MGzEmXQ2MRqXIvyNvk1QjshYQJlx23/B2eMa0xPGNa\n",
       "r/j8Hln7/ih3Y+VFgqjbl3nh7cvU3JEqgxki2gVgF2PsX0TU44A7VUQOQUp2L/9D8YENkyAHAgLP\n",
       "/pY957efDoQdwy+6ezmA5Z10a4AiCFuLSxHKTOUoAKODLQdAVrD9X7BfHVpE5SYo9Tx9p2o3cZro\n",
       "427w+vCw+qPbo8wxw491PKqFyLTxD1Qe2RhJ+og48jncGoG9Ej9xUUl8J+lEeoLWHBFIPf/WM252\n",
       "pLG66FWWePboUNLshuL1rwJY2JNjZZx/4835az+4j0ApvKBZl73g4Y97cpwj6//5BGLG/YzTmDgi\n",
       "gqt086sNxbvnWBNGu5Xz3Pz0oVV/jZQFw0jIPp9Wq3+po9yElbnfhfmJf5SLH58AALLPmUQlm6tJ\n",
       "awoHr2NUubvEZI/ui9ybJgCxUHycw1ttW782AzAAMAa3Bpy6a1dIVDZBuSc0BretX9cDqAZQCaAq\n",
       "+Lo5M4BSNQpfdelk7sa5SBht5zgOMEaA/B5toHxrZucje8aBb1+51M+b/sCix0f6PXWu/cte/E/O\n",
       "wke7neFB5fRj8E5ENjOZMfYYgBS0aEIiorSuDFZF5FBDa/kN2bMWcZZYPQBIVfsfzv3fE9HgNbIt\n",
       "dtiX8eN/MRTSU/ih+EXuBRCq7a2FIibHB9sEAFFQSjDNCvbxQBGVmwBsALATyg9Tt2ABfxH53ROZ\n",
       "qFdKDrsqq8NGX97lHJjRI2fXRGbNWFhzaL3dHJfVpLPGSt21QaUTBL3t+KTZhh4nzdZZY6WchY88\n",
       "d6omyZyYwWlMXMgmGGOi6wq2JFoTRucBQGPxHotOp/9Ea40uSZx81UkfSByVhxKYITIitM9pjAgI\n",
       "2gOsctcGIjnMEpH8UfLUa7o98wplpjAdQCKAhFbb+OBraw+OCSjfMxeU/LMyWnLTts5RS1DEprZV\n",
       "07TaaqAI1LhunNePFkFZBmUJrhRKvd/QtgLAcTkweUGzN+Cp88IQrkQXeercgkab281r7rqRfula\n",
       "LjorEgAg6g2yq+qChuLd+tADhsqZyyBezg7xPoB7AGxHm+9RV1BF5FCD10xixoiWvHLmuMgA0f2c\n",
       "PYWrKc+9yr/+o18NtB9bD/EC2BJsIRKgCMpJAKZCmb08J9hCY7ZDEZTroFSQ6FTQJZ41/8Gi7YuN\n",
       "smBIQcDrNljC/mCMSOnWDCcnaBCZPaOuO2NUuoHfVUVyII1xPEgOAH5X1UCbxGRfFUk+hNwgyF1T\n",
       "Z86cUA4A+avfHe90Nr3GWZOS3U21NU1LXvjriPkPdBhFb4kfddRxeGs5Z45LYYyBfI4Az+S8nAWP\n",
       "vAYoOQxzFz9zD8lymqgzLxl+0V3ftjlEOIAMKK4irbcJnVyGB4rwqgZQ02rbujVAEYzO4NaFHvy4\n",
       "tIJBEZCtU4xZgs0W3FoB2NGSciwCykNkSHTGQXnIbA8ZQDmU9GPHABzLmnNf0bEtX2xy1R8ZLnmb\n",
       "ZM7b+EPmvPsXn8I1nJwToid4Jvs9fPudVc4kBmtgTSvqiWhZTwerInKoEfDvIXfdAmaK0gAAOSuJ\n",
       "s8RxTDSAi5uQ7Chafz+AXw+wlb1FKJAnFEwSBmAKFEE5FYpvZej1fVB+9EKCch2UNEMnYE0Y7bYm\n",
       "jL6hTy3vIbLkQ/3R7WZb8llNZ7JPVUTSyNuqj218kwR9OCR3dUTSyAHP3RebPf3h0tzVkaSzJkHy\n",
       "eERRfDlUS97VVPMol3B2KmMMzBQdGSjbcW1T+cG/deRnGzHs3Ia64j0Pe4o3PkKCVsv8rgPp06//\n",
       "E6D8DRz64S/vIWbcBdCYBearnVl9eNOyiIwpNVDcPkZCEVnt4QdQCKAAilgshpJmK/RdGoiKLIQW\n",
       "/8iGoF1dRQdFMEdDWYaPa9Xig9uoVu9NAQDGcUiefLlyciIvY2wSgL9D8bMuDLYjUGY3T7nOO8/o\n",
       "K7muIA22FDvcdV7mrd2sVntSGSKsYoy9AOA/aLWyR0TbuzKYEfVNCj/G2BwArwLgAbxHRM+1+ZyI\n",
       "aNBL9MEGY8yijRz2IbS2sRTwaSDqo/no0TwAZWm2eP3ykQsfuXGg7ewn7AAmQ5mZPBfKTExrKqGI\n",
       "ybUA1kBZFhu0HF71zmS3s+FZaKwmeGprbdGptyROvrJwoO1SOR5ndaFGb4vztRb5e5a8/DUXP3F8\n",
       "aF+u3l8RHZd2YdSImd2drU7xOWunN9WV/0Fni9fr9EbwfLvP+g4oqbMOATgc3OYDOIouzMafZohQ\n",
       "BGQSlCX75ODrpOBr+0nG+qDMXh6B8u9XEHx9BK2i6mXJh4MrXr86IHnHCxrDuqw5957gm5n33Rsz\n",
       "fe7GORwv7h828/ZOy7YWrnvfUH1gVQERnVHlKPuDwaIvGGPU6Ox5SmeL0YC219EFbXU+lImXUFDf\n",
       "l0T0/05i42q0E/hGRDO6YmOfzEQyxngAbwKYCeWpcwtj7Gsi2t8X5zvDoIQxcx6wJo51uetLNUc2\n",
       "/Otz8rsmgNeBqvaUGUxhfxloA/uROiiBPaHgnli0CMpzocxQXBpsgOKDuQbAaijL5oOmBJws+eB2\n",
       "1D/NEqYOCwaTxNUXrX85EfjFQNumcjztuT5wsu8nclbnMGOEjvwewFl5JGLYrzoTkBYAYwGc1arZ\n",
       "NcYwhBtb8oL7fV54myrqTeFJH6DFl7hPqhYNUfxQxHNHlYhMUIIGUgCkttlGQ3n4bPsACijL+EcA\n",
       "FDSWHUw2Z0zP8kLU+GoKFuQufiYrZ8Ejz7buPGzWnSsBrDzVi1E5vehNJdsNbbWGiC7uyjGJ6PxT\n",
       "samvlrMnAThMRIUAwBj7FEouIlVE9hKcoIExIsWXdNbCK4t3LLmbSA4z2eM+OpPynJXvXhJZV5x7\n",
       "oSBoy9IvuG0NJ2jKoGTZD2XaHwbgPADTAZyNlmTot0P5gVgPRVCuQsc/QP2Ct7FChMZoOi6YRNSZ\n",
       "B9Imlc7xu+q58t1LEyNSx/2l+ujORqrLm8AoUJkwbv5j7bgjxEO5N04OtmHtHLIKwI7awm1RjU1N\n",
       "2W6/rJWqDpZpOenhoEhR6T4OtIjvthigCMpQSwtu06G4z4wEMNKWOAotkV1jTQG/93YoD6oFwVbY\n",
       "qg2Ey4DKIIXrXZ/IrmqrLp+UMRYD4CkA8UQ0hzE2AsBUInq/K+P7SkTG4/gn5WIoN02VXibo3/ds\n",
       "5z1PLwrXfzSssb7q71z4iJSA3+nZt/SFb0fMe+A3bX6484LtPSgRopMAnB9sWTg+8vsIFEH5A4CN\n",
       "UAIQ+g2vo1qUXdV6qtgDxmsAaxKY391hSTeVgSdvxevnu12Nf2aCzoDqMgcPfDJywUPXteoyDC2C\n",
       "cTJOjEr2QkmyvwNKgNh2KPdK2BJGofqHP19Ifm+mxRa7MnnatYfRj5xqkvf2jnfwuzful8GNZRSo\n",
       "iB954R8Hic+gC0BusLXFCiCNiFKrC7Y9IdqT7FqtHhqtHryo5aDMIo9tZ5wDLYLyWKsW8k095TRl\n",
       "KmcsXdFWBOBsxtguKLOV9xPRvpMc8wMo/sK/C+4fAvBvKFHbndJXIrJLNx/G2OOtdlcT0eo+sUbl\n",
       "tMNRW/IIlzAthTEG6Kw6krwzjm38x/CUc2882MEQL1oCbp6EUklnOhRBOR3KDEQagBuCfTdBEZSr\n",
       "oPhK9SlFO5e+zyecHc5EPWRPI+TiDaVJY+cNeDCJSvsc2/RxmkeS3+WTzzMwxiDXHLKLGt117vpS\n",
       "v94Wlw5l5rttreoGAJtbtd3oQFBwggbDLrrnewDf9+FlnMCBFa9e7Pf77wWv08HXeCRx7LybbUnj\n",
       "eu7UFeTgiteeoIiR13B6u5YkL4p3f5dkT510SrXl+4EGADsYYzuq9n2fLpvib4AxykJNpXV6PvB+\n",
       "xvQbf4Ryz0jG8cvlFrRfAhZERAG/2yN5nI74CYu2Jk+77kt08cdapWOCfoDnD7AZ7dKdici1a9di\n",
       "7dq1J+vSFW21HUAiEbmCpQ2/QvurHiEiiOgzxtjDAEBEfsZYl/2q+0pElkBxcA6RiOATdmuI6PE+\n",
       "Or/KaQ4xTjhumUDQaGR/k67jESdQDuCzYOMBjINyE7oAwBgownI6gD9B+dtdBUVUrkc3634fWP7y\n",
       "5ZLfM4MBxWnTfvm8PizxOF9MT0OZAK01lYlK5iZOZwF01vpBMlOj0g5N1ccW6JPPMZjsMTCYrDDm\n",
       "TIYgaowA7m7VrRzAT63aQZxi5Za+pGr/Krs/wD3CxU9JAgDyu5OKdy3/f7akcadcwUjm9eM4vV0L\n",
       "AEzQggwRKTWH11tC0e2DnRELHnrh0Mo3fvJVFE/UGaw/Zky/7afgR1skr5Md/Pb1p2RBy0GW8mzR\n",
       "aW8kTrysBoqoTIby+5ckB6R0xnHRgsagFzQGPYC5TeWH0hlj/ySibue7VWkhOAG1OrQfTJ49KGDd\n",
       "CF6efu65mH7uuc37Tz/1VNsunWorImpq9XoZY+zPjLEwIqrt4LQOxlh4s72MTYHyANUl+kpEbgWQ\n",
       "yRhLgZIQ9goAV/XRuVTOQDQa3ae+mrwxLCwzHAEfqC5/X+w5155syv5kBNBSVedFKClFpkMRlNOh\n",
       "5N77ZbBJUGaRVkEJ0jlpAuN9S57/jWxOvItZEszkc8qH132YlTP/wV+2XnbXGMMlSJ7WqRVAfrch\n",
       "d/EzD+vNkcvSpt+0q4fXpdK7hGYYz86ee98MjheP+9DvbiJe1C7hBM1qKC4RhX1tUMHqv4z0uR2p\n",
       "lrjhP8WOWVh5KsdyVByMZ8aI5tRBTNRDZkJ3EoN3TMDrJ6LmnHnkd/sMYUlDKhF35sw710LJ9HAc\n",
       "B797436KzLmK09s1RIS6sm1/0u1ftSAye8aO1v32LXnudSSed6ngqYTGGAaNKRJuZ30mM0R+zRib\n",
       "Q32VKkVlYKFTziDVmk61FWMsGkAlEVEwtRU7iYAElPR43wBIY4xtgJKntcurBH0iIolIYozdAeBb\n",
       "KLM876uR2Sq9yfCL7l6St/JNt6/ox8vAqDZh9Jxn2s7wnQI1UHJm/QeKg/IoADOCbTyCQgKKD0kV\n",
       "lB+WUDvuhzwA7iLOkmAGAKYxcmSMyqk+uCYsKmdW85eaEzQQBeFVf/nOh5khIkJuLPYzQ0ws2ZLu\n",
       "dNYXXHHg21cfz5p9z/+g0t8kQfl/nhbcxoQ+4HgRks/lcdSWi476cjiObXdotPor0qbfuKe/jMtd\n",
       "/OwfyRh7FdliLVWl+cdctX+9M33Gr9vWru8y1sSxR5sObCznzAlpwQToMkdSr7hyGCzhTzhLt77O\n",
       "WeITyF1XKzDpvV78vg4oMthoTm/XAEpAHGdOSGwo3p0RmT1jy/E9mRuyH/7GCgT0UXBUFUNmPGPW\n",
       "xFHkqorAIE9BpjLwdKStGGO3BD9/B4oAvC24JO0CcGUnx9zGGJsOZcmbATjYnVrafZZsPJgBvcdZ\n",
       "0FWGHrLkw/5lLz0m8/oZgCzzJH2ZNfuet5T8ap5xot7y3fBZd63orfMNm3nHD1CWmPsSguK7thvA\n",
       "a1Cc7c+BIijPh5JWqHUaof1QZijXAvgJFKDWMzAI+AKiwXqCH1zW7Hv+W5n73ZrGkr3DXILuLS4i\n",
       "UxGeEVlR/pJN16Ml4bpK3xESjVOD27azcNVQktmvB7CB44QjjUd+TCNZ4jOmX3+4NwNROqP64Bqb\n",
       "LFov5uxpFgaAdPYkV/HGBwFc3tNjhqVPaao9uuMhd/HG35Gg1TG/62DaOb98vDfsTZ9+847qvHUL\n",
       "Go7tyNRHJJbEnXVrWW8cdzDAUaCM/G6E3FHIVenV2WNOuL6o9InPVRzZPJ54XfZxk46SV0I/B/Kp\n",
       "9B+sd2ci29VWQfEYev0WgLe6ejzGmABgHlpqZ88O5tl8uSvj1Yo1Kr1G3ndvXE72jGs4U4wRAOS6\n",
       "I7flLn52CosceTb04Tp/Y9G8fUuef2vE/Ac7LAc3BGgAsCTYACW/XMh/8mwoVXSyAdwKwJc98/Yj\n",
       "taUHmhxun9ldVdDE+RzfdOTrGJUzq5YTdfvdhW1XyAc8Z+7pShpaSmq2JxrroARYrQ+24yogcYIG\n",
       "SWdfewQDgNdRbYCobfaJYIyBOP6Uy+xlXHDbBgDzT/U47REx7NyGiGHn9nimdLASO+KCJ4t2r7iE\n",
       "M8WYIPsAXqdtqDhyawLw+1AfWfLB66g2mW2RtztqihfJZTuugCEqTHbXNZCz4pPWfmwqpxm9LCL7\n",
       "gG8AuKFkiui2saqIVOk1JL9nKozRxtA+GaPt5K4bzxkjlYAXW7It4Ky8GMBQFpFtORxs70OpDzwB\n",
       "LaJypKAzZUWlTUAUAKIpWsa4EQDuhDKjtRttEp5HDDu3ofzA2s3kqpkNnV1LDUdqBQ5f9OcFnabw\n",
       "AEagJU/jJCi+P62pg+LLuCG4HbSBMNEj55TVLn8lj8wJU5moBzUWO3jI/RrJPRDsX/7ylZIkLWBy\n",
       "wGuLzXg8YeKiAU+67qoptHHWJD+zJgMcD8YYL5c05IQ+9zSUCYdWv/93mOPHgSAzTlwXHhU/u+bI\n",
       "lvPlxvJ1JEs/nez4KkOcwe/qGk9EHdWl7xRVRKr0Gryo/SngrFgAU4wBAOAorweDF8oScBB50H+j\n",
       "TgEfFAGyAcAzAGxQBMs0ANMY47LQUk0HUJawdkCpnrMFwDYADVmz7/lN3sq3fiUHpCyd0bo4c+79\n",
       "6/r5Ok4HbGipBjMBii+rqU2faihR05ug/J91SzSW7vg6prZ47+NgvF4QxMVZc377eeejegdBa6Tk\n",
       "iT//v2Pb/vd7Ii6KF8VV2fMf/KS/zj8QHPj2lUsDusg/cLYUG8ky6kp/StMfXn/JQEd4G6Mya+tq\n",
       "fmxivGAHAJIDYLKv2ab8dR/exmLGTmdaq1KeVmud01R9dIUldthX1Q0lBQNlt0o/MfhnIlcwxmYT\n",
       "0bc9GayKSJVeY/isuz7dt+ylbLmxZAYgyxz5vwTJkdRYciX04UZqKqoRGD4daDv7kXooDtChL2c4\n",
       "WoJyzoayFD412ABFwBwUtMYtI+Y/uA3K7OZJk0w3lubqSnctm82AAK/R17hdTXcCHNNotf8YftHd\n",
       "S/vgmgYjAhQXglDpwHFQIqnbUghFNG4Obrv9Ay5LPuxf/vIDMhOmyZInh4saZeD0YZDqCscfWP4y\n",
       "+lNIWuJyPCPjcn7fec/TA8nnm8+iU2wAwDgOsGdk1OZvHhueMe2kifW6w/6lL/4qIAfOhxyoj8k6\n",
       "97GIYed2murEnjLeWX5gzev+sm13Ma3FCEdFaXhizkOhz0kOpEBjaXE10Jp1gXp/am/ZrKJyimwA\n",
       "8F/GGIeWlTEiIktXBqsiUqXX4AQNRi585DEAx+XoOrjitfVSQ8FYndG+KmPe/ZsHyLzBQA0U/5Nv\n",
       "gvt2ABNbtTFQKulkQUknBCi+KnuhLH3vCm7zAch1BZtNxXtW/hsRI8aACHLVHolLOEfgBBG+6gPZ\n",
       "h394uy7jgts29tvV9Q9GKMvSOa1aFpSKRK3xQPHx2Q5ltnczgIpTPfmBb1+9nWyZt3KmKB0jAlXs\n",
       "AokmMHuKXSounYeWkpsqvQ0FmijgBwulVvI5nILW0GslBvctff422Zx8DzPHmUjyoezA2gxzbPYl\n",
       "WnNEoLOx2XN++0lD8e6vHBWH7FFTflEuGmzN0088L+yUqg9cxiKzBSKCXHOo2mqPX0KyWrjmTKC3\n",
       "A2v6gJcBTAGwl6j7xqoiUqXPGX7R3a1n41RaqAOwItgARQiNhiIox0IRlQloEZkhXAAOiuYobeS4\n",
       "S0d4/X54PS54eUGgsq1A4lSw8OGRnqJ1l0Hx7RuKGKAEvqQH23AogrGjGZx8KGJxBxS3gP1Qcnr2\n",
       "KgGiKZwpSgcEg1mMMSBvI8BsAAWGVN7DoUZUxqTHKw5vyoI9LYP8LjfnLF+SuvDRk+Zp7Q4BYjM4\n",
       "c5wJAJigAcxJaeW7F6ckT/tVl9IcBUvQnvA3IMl0FbQWQa7YAwIBnrrG5Dl3HCpc976ht2xXGcQM\n",
       "fhF5DEBuTwQkoIpIFZXBhBct/pEh7FCE5WgoonI0lPqp40wRKcc5+cmBADxNE+GTGfweBzHLzFDS\n",
       "9GIolQ4GUxoRBiACSkR0LJRrSm/VYjsY54fiu7gXLTWP9wPoF784JgdqSfIpIgMA3LUEUSdRGIP2\n",
       "QgAAIABJREFUzcHDEcmjHu8PG85UokbMrDNEpFxcuffbLEFnciRd8GjvliOVJd9xCdElp0cTFn/q\n",
       "UdOCzsRZ4gFLvHKasu1quoUzicEvIgsArGKMLUNLGVY1xY+KSm9SuuPrmJri3BfBaSxM9h1OnXrV\n",
       "w8aIlP5Yj6qDkndyTegNv8cRUXlg9cO8xjBG0NuydBGpnFZrgKjRwmCLgTK9Ec2A9FkAZoXGST63\n",
       "T5a8NaLeuocxVgsg1Opava6HIma9UG4onuC2vTshAyBCuY+IUKLTLVCCWqzB1vp1FFpEY0xwTEf4\n",
       "ofgw5gfbISjC8TDaRLT3J7Ejpv+hdN/qFDLFpsLv8jBP/bc6Zvk68qx5e9ubhVLpXUxRGV7TBRl9\n",
       "UsHJEpbwp8bSn5JgTUslX0MD563/j99tMe355pmXwAlanmht1px73mxdbapL+J0lJPnSmaABBfyA\n",
       "z1nSF/arqPSQgmDTBBtDNwIM2UBVWgoms1SfyLoJY8ycPvOuaHvqJNdA29KbeJuq+eLNn4wFgSVM\n",
       "vmpHV/yQ+gtZ8iF36UtLWcLUMYzjQT4noXz7lyMvfvTuzkf3Pnv/9//eQ/TYWdBaBLk6z0POMoHp\n",
       "7AKvszmNenFTVObUrXp7gsgYF0dEiZKnaQKvNWk5jjuV00poeUoNicZT/f7WQSndFWoFaBGNxVDK\n",
       "UQ46/K56rnLfyhidLdbRG5HB9cd2GIp3LnuTREMyJI/TZIt+NPXc6/f2hq0q3aM6b521rnDrSI3B\n",
       "VmGJzykvzl29mMVPyWSMgRzlLq6x8IUR8x74a3ePWX5g3Ssk6KKZ5KmMzpz628jsGXWF6943VB9Y\n",
       "VUBEg/LvfCgzWPQFY4y8NT1/ZtCGx2MwXMfJUGciVfoEb1M1f3j1ew8TY8MZBY6mTL36yY5m7ty1\n",
       "ReLhdR/+i4VlTgCAvB/e2ZY27Zpr+mmmr1NqDq23Qx8ezTglwJJpjEwWdBkDYUtdwWYT6cPHcDqr\n",
       "AAB85HCd7K3N4/xNS0RO2pVy/j3fte5ftf97e0XJkZVcZHaMIGoganQQnaX5iWPnvg0grFWzB7c2\n",
       "KE+j2jZNQPv3Cz8UgeknIr/kcWj9fp8hEPBz5G1qMoTFLxc0hjIoSdpr0CIYyzC4lte7jGiwyfET\n",
       "LivtreMV71r2ImInzuZEHYgIjuKNr3ubqmcNpgepM4VgQvT1AJC/8rWJzJqSElreZqYYQ6D+yLkA\n",
       "uiUig8e8ofetVRkSyIN7OZsxNhzA/WipWAMoy9kXdGW8KiJV+oRDq/76MqJG/4zprAL5nHLB+n/F\n",
       "j7zkd+3eSAs2fnw9ix47lemsylSZxjTl6KbPbhqx4KFBkZTcHJfVVJa/vXnml2QZkLztVp3pawS9\n",
       "VYIstbkrscachY+82F5/Q0SKC0dz/QAg+X3w+7yg4l3ViWPndjenYGi5GgiKRrRZ4i5c885IJxm/\n",
       "ZPYUDgBIDpix+XPNyIsffa6b5zqjIE6bwIlKPn7GGMgQGV5z+MfIuHE/Kx9g085oNKbISpejsZGZ\n",
       "Y8MBgAJ+MDkwoDkpVYYeQyA6+3MAbwN4Dy2rP11eolZFpEqfQIJhVGi2jGmMnKw1Z0leJ2uvvjDJ\n",
       "ciQEfctaq6DnZApE9aO5J0VnjZW0GvE5b8mWh5jOaoazqtIWk/bAQNhijhnu4fz/XUL1R6+BIdxE\n",
       "9UfLNRrNOx31N0VleHnyfRio2vdrpgsLlxuLjhkt4U/24NR+dOKLGPC5LTBE6EP7jONBjNefbExv\n",
       "42koE/LXfvCkzGmyIfscYXHDHowff2mvzRr2BSzgrQmlriEiwFPTYE+e1Wupa1R6RuKUq482LXnu\n",
       "40Bl7iImGvXUVFQQnTHpjMnLqXLG4Ceit3s6WBWRKn2D7Dt+KTrg87UnIAHAFJH0aWNV7iWIGRsP\n",
       "AFS1t9QcnvhxP1jZKbLkAydoMPyiuxY7qwtXNBbvtkdMvbSqdR64/iZn4cNPHF755kpfVUm20Ra7\n",
       "JnnarSdNSD5i3gNvF2/+7BtPQ2mcLWN8XsTw6fV9YVdE1vk7i3Z+mwd9eDbjBci1h+tErfarvjhX\n",
       "R+Sv/eBJihp9Dae18CQHUFu88e8Rw6rnhZaGg/5pfwLH2znG/Zg1++53ux0o0ctEZUz6bcXhTe+R\n",
       "xhwPv9uhM5r/pA9LHLDgIZUWRsx/6Nny3Uve9zZVWaKnX39UZ43t9bRRKqc5g38m8hvG2O0A/gMl\n",
       "oBIAQES1XRmsBtYMMYZKYE3ed29c5A3gCWaKiSdnZblIvhey5tz77476H1nz3hhXY9XdAKC3RLyR\n",
       "Pv3mHf1n7YmU7vg6pqZo71+gMUXB52owhcXel3rOdfsG0qahQPnuJZHVhbseB+P0gkb3Vdbse77u\n",
       "z/PvWfLiV1z85OacmnLtoZowi2VO/ITLSr1N1Xzeqne+YnFTzmKCBuQod7KGI2/mzH/o9f60sSP8\n",
       "rnpuIB9OVPoXNbCm7xgs+oIxRr7yIz0er4lJ6/PAGsZYIdpZviaiLlVVUmciVfqEYbPuXFG+e8kO\n",
       "R/mhdENk8tG4s35edrL+adNv2gVg0Dif1xTlvs4Szp7IOF4Jdija8AqA2QNtV09pKj+oc5QftEYM\n",
       "O69KNNjkmsPrLWX71jxNnBjOI7Bz2Kw7n+9oprg7xIyeXxUzev7tvWFzj5D9DpIDCAVBkafRYRo2\n",
       "oQ4AKnNXJMCUkBrK8chMMUa54eh5AAaFiFQFpIrKacggn4kkopRTGa+KyCFIQPKxxtJcnSUuZ1BH\n",
       "t8aMnl+F0agaaDt6hKgPa47GZgykNdk8DWXCQC9nyZIPeSvf/Jnk94zRGmw/ZF74m3WdjTmw/JXL\n",
       "fDLuZVqLsXrl2+XhCVnX1xTte5vFT5nICRrI7ropB7973ZSz4JE/9Mc19CVhccMfrC3e+HcyRceS\n",
       "p8Gh4fBqKH+j1hzZhIbDzd8ZIgJk/6DIAKCioqIyEDDGLsWJM5ENAPYQUWVn41UROdTQWH5eemD9\n",
       "Y0xj1mHr/0qiMyZdHzViZt1Am3Xa4XdVU0AC4wVFbHgdtQMtIAFg/7KXniZ7xuXQh+s9DUWL9i19\n",
       "4eUR8x74W0f9G0tzdT4Zv+XjJiQDANnTI6uLfnyFGSLTmmfk9HaNzLRj++kS+pT48b8ojcqun1u5\n",
       "//sYc9bk2tYPWlE5s2qrC7f/O1CT90umtdqoobDAHBb/+ACaq6KicpozBKKzbwAwFcAqKLl/pwPY\n",
       "DiCVMfYEEX10ssGqiBxCMMZMsKU9xsVNTGO8CAr44yoPb3ohasTMmwDFpyrvh7/cS4QRjGHfsAtu\n",
       "fUVdIusZUWnjb688svHPJBhiEHDXW6NS7h1omzwNZYIsmi7gTDF6AGBhafZASfUiAB2KyKayA2FM\n",
       "Z22ujhiMmB4Nv8ccek+ZkfN52z9C9zi44rX5fo9zPmMoSZl69QsDketTNNjkjiKyR8x/6PljGz76\n",
       "wucojrIPn7qvN5KFDyU6ypCgoqLSRwx+ESkCyCaiCgBgjEUD+AeAyQDWAlBF5GlEDGeMsIV2GC9C\n",
       "5rVhof2DK996BVGjL2E6m0ie+gsPrnwraeTFvxuQqipDneiRs2uiR86+YqDtOFUihk2vqF31bhnZ\n",
       "0sMZx4E8jTKnMVugtzO5aj+gNYMaiirMtujHu3K8ULR6e+xf+uJ1AX30g4gcZyO/Sz6y/p+jcuY/\n",
       "eGVPop8binfrS3YtvYFkMoYljvwwduzCim4fpAOSzr72CIAeebuf7PoHMwdXvDHb53M/BEGvh6+x\n",
       "MGH0nJvsKeOdA22Xisppz+AXkYkhARmkMvheDWOs00kAVUQOLYrkptJKisoJYwDI5yQm+5p/DEk0\n",
       "juN0NhEAmM4myqJx3IBZegZRsO6DEa6Gsp9znFCYeeFvPu6rmR6dNVbifI7V5Ci/DPoIPRqP1fFM\n",
       "/vJkY7TmiIA9LvPGupINzxOnMZLXYWMp0zM4jgf53SB3HXjyf5p67vV7lZnst+8lQibH85uzLrrn\n",
       "byHBdHjVXye6HXVPQdSb4HOURadPvDkqZ9ZxKSAkwsWcPUV5yNEYOTLHjSjb+XVcd6u7NJbm6o5t\n",
       "/+YLFjNuLJiAquJdC+WA74qu5HvM++6NC33upgsFUbNz2Ky7/t0VwVe49r0sn6sh0ZY4elvbawpR\n",
       "8OOHIxy1ZS9BY7DC56gMTxx5a9y4i4dEMvC6gs0mrxT4I58wNQUAyO9JKtm94ll7yvg7B9g0FZXT\n",
       "n8EvIlcxxpYA+DeU5exLAaxmjBkBdJoOThWRQwgi8jJBdwOVbHpdFg06JrkPpZ599aPNHWTp+Nxy\n",
       "bfdVep1D37813SOxl1nMxJiAz+E7sPzVC0fMf+CGvpqtyp5338N5K9/YLNUdGqfVW7/LnPfA2s7G\n",
       "JEy4rDgBuBoADq/6yyR37aG/IiIrEoIOcFeWmiNTvgSAgyvfegtRY+YynVWUHZUz9y97KSFn4SNP\n",
       "+F31nNtZ9wJLmKrUEA5IyZX5G1+Jypl13XEnkgMBIkKoTBwCPonXGru9nF26a+nFLHLkGKZRVty5\n",
       "uIlpdcXr74sfj/tONm7f0udvk/WxdyBhlE1yVV2+f+mL43MufvShk43JXfzs72VD9NWwpFnLC/cU\n",
       "OmqO3Zp23o172vZz1Ja9whLPHskYA8mB5Jqija/Fjbt4SMxUNxTvieMMEc0rFkzUQebFmIG06XTF\n",
       "XVskHln/jz/KTMzgyH8saeKlj5ljhg/qAEiVM547APwCwDlQAmw+BPAlKfkfZ3Q2WBWRQ42Ad2/i\n",
       "6FlXtZcnUuD5d6Wq3AdhiomGo7xC4Pl3B8LEMwmPy3ErS5gawxgDBK1GNsdNKtn6eUrilGsK++J8\n",
       "nKBB1pz7/gMlMWy3yZhx6+aDK1572Fe08TpAlvVG2xtJU6/J9zSUCaSxjuV0VmUm2xSllxuPngMA\n",
       "dQVbbNCFWZprCPMCZEEX0fbYeqPlFXfFrhTY0+LhaXByntrvYkbdWt1dG5W8aKxVbjQGgHFA0OfS\n",
       "61oAUFXS+Euebh04EyDhkuaZUFOMXnaUTz9ZRH3lvpV2WWP9GReWYQUA0oenOIs3/A7Ala37eRrK\n",
       "BGhNtubr53iQqA/v7nUNFLbks4qb9vxQBWuShTEG8ruIk32FA23X6Uj+j/94DTHjFnAaE09+Fx3d\n",
       "/EX0yIt/96uBtktl4BjsgTVEJAP4Iti6jSoiTyOy59z7adGmjze66g6NNNjjchOn3Fo40Dad/jDG\n",
       "WusdMEZygOuw+wBSvPmzBFnyatKn3/StoDUub/2ZoLMESPYfn/RYDgQAICzj7LqKI9vriCiaMQaS\n",
       "vGCS54S8nxkX3LaxeMu/f9FUufcCyeM8T9bbxu1Z/MJSjah5e/jsu7/pqp1xo+d8fWz74l8hdvxo\n",
       "MAFyxc5Ce0z6K/uXvXRVQBf5OxZ1lp38bhzd8tXIrFnxl7UEj7XxIiAixokduhb4HDVGiDptaJ8x\n",
       "BuIEsW0/nTVWgtdRS0QJwZlYwO8aMqmrbEnjXNX5m+93F298nHitjknOQ8lTruhR+T5Z8kEO+NXg\n",
       "nA4gwZDNaUw8ADDRwGTRnDlU/WhVegl5cIpIxth6IprGGHPgxBQ/RESWrhxHFZGnGYlTrj4K4OhA\n",
       "23GmoNXp/uat2jechQ+Pgq9RYk3F2xLOe7DnJQr6AFnyYd/SF14nY+z5jBP4huWv7E2deuW1pqiM\n",
       "5ohsQWsknvyfybWHbmGGSDs1lpSLovhO6DOTPeZOR/GG54jXmSC5iuNzLmg3Wj1h4uXFe/77xIVk\n",
       "CL+QcRoGnuAFHive/OnOhElXFnXFXmvCaHeC37OoNPf7W4jIGB43/L348ZeW7ln8wvOcPdUOAEzU\n",
       "gyyJWaU7vkpNnvarfADgGf07UJufwCyJdrirnZzk/D5U7rA9YsYsKKlb/uphMiVMYqIO1FTq4CF/\n",
       "365NUcm3NxSvf4V4vQ2SqzwqbfwdXbmWwULGjFs2A5h3Ksc4sPyVRf5A4HbwWi3zNh5ImXrFra3/\n",
       "hlQAyD7vcS4dsterCsgznAGqCtgZRDQtuDV11vdkqGUPhxhDpezhmUT+mnfPcjdW/oLjhGPp5934\n",
       "/smEy0CQt+LVWT593F+YOVYHAOR3ESvf9lbOwkefadu3YM27OR5n/SijPe6npKnXFHR0zKbyg7qi\n",
       "bV/9HxFZ7fEj/hUKMilc+352k1deykVmaQCAPA2ghmMQZdftWXPvP6U62nu+eeZjljBteugHWq7c\n",
       "5zfrhYtSzr0xL9Tn0Pd/nuZ1NcwQRe0ugy16j6Azu2PHXtxhZHdd4TZj6e4VfyDGInlBXJ09975/\n",
       "nIqNpyulO76Kqaks+YaLHh0HhP6Gtn+Qs/CRHs1onq7krXxrhsfvf4ozxUaTs7JK5OSnsy66u93S\n",
       "n2rZw75jsOgLxhhJBT2v4Cukjjuh7CFjbA6AVwHwAN4jouc6OPdEABsBXE5EHbo/McbSAZQQkYcx\n",
       "NgPAKAAfEVGnQTWAOhOponLKpE+/eTuU5KyDEsnvTYbNrGt+Q9AzIsSGdo+s/utor6t+nN4StSl1\n",
       "+s25AHJPdjxndaGm8KcvPmUxYyaA07Dqkt0/D/g/uzpx0hXH3I7aMSwsq3nqhemskCubvDp7ZHPd\n",
       "8cbSXF3R9m9uIZJt1qi0DxMnX1nYlesQmPy1v3z7eZw9nZHPAVBAdNbV3ADg4VCfzAt/s76hePf2\n",
       "Y9u++affLQ2npnJ/7TfPLOlI7NhTxjvtKeMfbu8zlRZc1YVJzBAfHdpnooHJjEseSJsGI8Nm3r6q\n",
       "av+q+Y2luSmmhGHHokfOrhlom1QGmF70iWSM8QDeBDATQAmALYyxr4lofzv9ngOwHIpT+cn4D4Dx\n",
       "jLEMAO8A+B+Aj9HFlYtB6buloqLSe1ii0r6l2kPFoVUHqsuv1RgsXwFA7pLn73TK4seB8Jynmzy+\n",
       "z/Yvf/nKkx4MQPHWL2ayyBHjmdbKmKgHFzcxtaE8/wEAMNpitlBjSXOpLHJUEpM9a1LOvSEPAByV\n",
       "h7VHt371GUWNeRCxk39dV1P2SeGPHw7vynUwXutipjhFQPI6cNGjQGBhbfsV7Vj8OxY3cQqzp9m5\n",
       "yOwoMicsOvLDn0+LijwDhTk2O5+cZc0plsjTIHFEBwbSpsFKZPaMuvQL79ihCkgVQAms6Wlrh0kA\n",
       "DhNRIRH5AXwK4JJ2+t0JJVCmK77bMhFJUCK03yCiB4CWSYbOUEWkisppTsLERUV6reYOKt6wVi7e\n",
       "tE701z8+bOYdP8iSDwEmXs6FZdiZ1gIuIjtSCtD1nR2PCAIFo6UBhAKpOQBIOvuX+aLsfkou3rQv\n",
       "ULz5KGr2/TtnwSPNxyzd/r/zWHj2WRCNoLp8gNcmNdYUf3n4h7fP7uh8eSvfOn/v10+9FJC8w6mh\n",
       "qICZ48EZI0B1BfWCVr/4RANZFBP1Lftai8nndamzZqdA9MjZNVqB+51cvHG3XLbtACp3/S/j/Jue\n",
       "HWi7VFQGPST3vJ1IPIDWvuXFwfeaYYzFQxGWb4cs6MRCH2PsagDXAlgcjBQ9IcCwI9TlbBWVM4CM\n",
       "GbduAXBV6/fkgJ8xjueP69h2vx3ixsxdcXTr/3ZR7Pgx4DSQK3YWWcMTXw19LupNR3yOJj1nTUwk\n",
       "d63+wIrXbhsx7wHlhsYYAQSqywczxYDT20FEdlfZ9hcr962c37YO/P5lL10l6cIeZYmjwsjbIKF8\n",
       "x2Yq+vEIcaIgCPzXWXN+e4K/maDVfSvVHzuH2ZKsRAS57sgxa/zwjd36B1M5gWEz7/geQLuBR6cL\n",
       "h354e5rH2fRHCFo9/M6jiWPn3mJLGqf6n6sMFroSxPIqgIeJiIKCsLPl7BsA3ALgKSIqYIylQil7\n",
       "2CVUEanSL1TnrbNW5K2/CUSM41hVQJanAKwkdepVzw9EfeXBQP2xHYby3JULAPgTxv98aX9Hugpa\n",
       "IzFf0xZy18UyvV1DjkoXJ7nXdTbOEpfjSRjtWVS6Z8XtBLLYolLfT5p8VXMQjqux5ndcwtmpjDEw\n",
       "U0xUoGz7dY7Kw38zRWV4EycuWnN43UfbSGuZyIVlAFBS63CW+ITGktzMqBEzN7c+lyTTIs6eoSxZ\n",
       "62wCM8VlRkRGXxQ7ZmElOiBr9r1f7lv6giXgLJ0LOSCbrJFPn6y/igqg+Op63K5nWMKUdCWfpie9\n",
       "eOey521J44ZUJL7KIKMbPpGrf9qONT+d1L2+BEBiq/1EKLORrRkP4NNgAGIEgLmMMT8RtRvgRUS5\n",
       "AO4CAMZYGABzR8E67aGKSJU+pzpvnbXswI9fsNizRgAM/opdMhczngMF5CPr/zmyp/WVhzI1h9db\n",
       "Svet/TeLzBkFIirY+On1KZMXXd7f1S2yZt9zT953bx6SKTCC58XNw+fe90FXxgUDUp5v90NOowlF\n",
       "UBMRCNBX7VuZaYrK2KsPS/SnTL7syoKNn3wu+11ncaJB6eeqqdKHxbe9GQIkH//kTQGZF3TtJg9v\n",
       "zYh5D/wdwN+7ci2nO9V566zlB9c9T5w2ksm+wuSJv3j0TKii4q4tEp3VhYawtMkNXbm/1B/dHssM\n",
       "kWHNSeVFHWReG9fXdqqc5shdD74/f+IYnD9xTPP+E2+837bLVgCZjLEUAKUArkCbFSYiSgu9Zoz9\n",
       "HcA3HQnIYJ81ABZC0YPbAFQFc0i2m8atLaqIVOlzKvLWX8dixo1gQcHAxYzjqL4QXMRwjkyxWRV7\n",
       "l0efLA3L6Uj5/jV3sNgJo4K+ewwxY88q2vbVNSPmP3TCXeNk7F/20rUS4VdgvMAk15asi+6+vzuJ\n",
       "oAWtkUYseOjN7tp/MjjZu5lcNSOgtejk8p1ghki7I+D7JPebp5flLHz0QXPMcE/K5EWLjm796m+y\n",
       "zp5Bfo9P5Ojd+Am3nlAbW6vVveOtzE1h9tQYeBvczF2zJirnlnbrW6u0T9mBde+zuMlTOUED8rsm\n",
       "Hd3ypWHkwkdvHWi7usv+5S9fEZD880ABT1j8iMfjzvrZCQnvQ+xb+uLNEoTrmajXlO1fW5A4bt51\n",
       "nS1L25LPKmvYsbwWthR7cCYSLODtVt13FZW2UC8mGyciiTF2B4BvoaT4eZ+I9jPGbgl+/k4PDmsl\n",
       "okbG2E1QUvs8xhg7ofRrR6giUqV/YB24ZUhev6i3nnEJiwkwgGvlu8yJrLtJX4/++EGGJFru4yKy\n",
       "lBKE7rqEg9+9WZiz4KE3etXYbpI9974n93/7SpPk817NJ54dzwQtDyCMeM3P8n9465P0C27fYYnL\n",
       "8Yy6OOfqxtJcnd4W72upOnM8w2bdtaLwxw+KnBU7ZguCJi9z3v1L+/lyhjRKyUZzIgvOxDHRwGTB\n",
       "kD7AZnWbA8tfXhTQRv6RxaTYSA6gpuSnTH3YtoX2lPHOtn1Ltn4RFxBNt/GROdEAQH5PbPGuZU/a\n",
       "ksadtPa6JS7Hozuw9hFP8cY/kqDTM7+jIGHsvAf76ppUVHoCES0DsKzNe+2KR6LOAyUB8IyxWACX\n",
       "AwilQuv6RERXO6qo9JTozKkflR3ccDFiz8oGOMhl2/wsLFOk+qMOzt+4NGL49C4lNT2dsEalvVdX\n",
       "vuNCLm5CEkgGVezOj0ga9XF3juFuqhrH7FktNaz1di2RPLLXje0mnKBBzvyHXt379bM5TNA2Rw6S\n",
       "xmyUGitiATRn321d+7ojUs751X4A+zvrp3IiGmO4BL/HHdonIkBq2R8qSJJ/HotR6qIzjgfs6Rk1\n",
       "eWvH2FPGb2jb111XnMB08c21zZmog8z4qK6cJ/OC29YDmN1rhquodGM5e4B4AsrM5noi2hxMPn6o\n",
       "q4NVEanS5wRF4mUVeRt+DYA3mW2LvY35ORqtMT99wcNbBtq+gSBx8pWFtPFf/9dYtO4uAIGw+OwX\n",
       "Y0bP71Y9Zr0lenujo7yK6WyRAEDuOi/HuC4vQ/Q1gla3WKornMrsKXYiAtXlH7GnjNk00HadSXCC\n",
       "Bhqt7mlv6ZY/crpwG7kqqo3WqKFXZUYOuCkggfHBnyy/0ynoTHXtdbUljcsrzd9WxJmiUxljIFet\n",
       "lwN29qe5KirNDHIRSUSfA/i81X4+gEu7Ol4tezjEYIyZk8+5Md4YmeqWZan5348C0vGlkXiBAIDj\n",
       "lC3jRQq9z/EiCVqjzAna/jRdpQ/Yv+ylX0oy/QqcIDC/a2vW7O75RPY1+5e9dJUUkBcyCvhNYXFP\n",
       "pUy7Nq/zUWcO7toisWTrlxPBWCBxyjVb+6pkZkPxbn1j8Z5oe9rksqFY77p895LIqsLdHzN7eib5\n",
       "XS7OWbo4Z+GjHS41569+d7yrqeb34DUiF/BuH37RXY8Npu8FoJY97EsGi75gjJF/57c9Hi+OnX1C\n",
       "2cPehjGmB3AjgBEAQgl2iYhu6NJ4VUQOLRhjOmNUpi34muSAv/k/kGRJBgDGCdzxWz645ULvC4xx\n",
       "DIxxHK/hOEFDjBfA8QI4UQ9Ba2S8qAevNcq8qCNO0BIv6mRBbwmo4lNFpXdoKj+oK/zpi09ZWOZY\n",
       "gIhqD23OPP/Ga3TW2E6jz89EGktzdVX7Vo4SdOb65HNu6PJy22BFFZF9x2DRF4wx8m9f1nnHDhDP\n",
       "mtsfIvILKO5C1wD4E4D/A7CfiO7qynh1OXuIQUQeAOW9dbxWyUgZlKojxzXRGMYLWqPACTqBF7Ua\n",
       "xotaQWtigs4MQW+GqLNA0JmI1xhlQWcOaM0RkioyVVQ659jW/9zOYsdPYBqj8iMh6KcWrP/o/7Ln\n",
       "PfTBwFo2OLHE5XgscTlnpPuLikofkkFElzHGLiGiDxljHwP4sauDVRF5hkPKVHRoNrNLT8SMMQ5K\n",
       "egEeAM9rDLzGFK4RdGYdx2u0gs7Mi0Y7NMYwaIx24jVGWTTaJZ0lWn3iPkXK9yyLqCrY8SZEQwT8\n",
       "rpqI5DF3xo6ZrybSHoKQLIdD0LXMMgg6Xpbl8JMMUVFRGWoMcp9IAKFiHw2MsVFQJqkiuzpYFZEq\n",
       "3YaIZAAyAH97nwdFpgBA4DUGQWuJ1glao47X6PUaUyTTmCKY1hwuO6sLLT5HrS0qZ1ZBb1Stqc3f\n",
       "ZC7N/eFJ4oRwjtGW7Nn3vn66JTGvKtjxNoufejbjBZAcQPXRjX+JHTP/FwNtl0r3MYWART4UAAAg\n",
       "AElEQVQlfNRUuXsWosfGAYBclXssLDrj3wNtl4qKSu9Bg19EvhusVPN7AF8DMAH4Q1cHqyJSpdcJ\n",
       "ikwfWp5wGoHmpXMBgAhd2IOcJe7XnNZqql/1fonZGn5zWMbUMo0pPKCzxPgFnalbzrqS18lK9n7/\n",
       "DxY/eSInaEHO6rP3L3/ZlLPg4ad79eIGGtEQHYpQZRwPEg1dSl3SF9QVbDaV7Fn5Ggn6BEiehrC4\n",
       "YffGT7i0ZKDsGWqknHPdgfzV797iLlr/GwCyJSz2lYSJi4oG2q72kCUvZMnP5ICPAUrd9Y76crxI\n",
       "HK9RAvsEkVT3FpUzml5MNt4XENG7wZdrAKR2d7wqIlX6jeDSuZ8xZucs8TfycRNiAYBsKVn1+Sse\n",
       "airbf7XWHGkQDTaDaLTzOmsM01ljZI0xXDJEpLQ76xmiav/3UTDFpLDgDxYzRujk+iOT+v6q+hnJ\n",
       "3UBEYIwFc/65G/rz9N6mar502xfZYJzsaKi+j8VNmsMJWpAso7Z4w7vxwLz+tGeok37+zdsB3NRf\n",
       "55MlL3yuel7yNPGy38PJkpcF/B4W8LkR8LsR8DqZLHlJDkiggARZ8jE54JNBJBPJ1Lr8hixLxBh3\n",
       "wsMeYxwHxnGMcSz0BuN4xjgBHC+C1+jACVqmBOzpwXgBvEYPXtSR390oNhTtyhT0loaECZfnd/dh\n",
       "UkVFpX9RRaTKQBDJdDZzaIfjNZBFvVFyVjYBaAIAxpgAQORFvUYfnmwU9Wa91hLN6ayxpLPHS21n\n",
       "K/VhiU0oP9qcuoSIANl/ykvkgw1LRNK9jUUb3iCtKQzepnpzePxJq3D0Jo7Kw9qCjZ/+i9nSxoLk\n",
       "AHFic6Q+4ziQ1hbZULxbb00YPeSSWZ8uyJIX3qZqQfI08QGfk/O7GjjJ0wS/u5787ibIfk9ADvj8\n",
       "suT3yJJH8jVV+wN+dwCKe0rrFvKVJuqlFB6tgvhCgXvHvWacEEGGyC/5sMxh1NDorvvv48vMEQmP\n",
       "BzNFMFFnBq81kqi3gNcYZEFrCgh6S0BjDBvcUz0qZzRDYDn7lFBFpMpAcFiuKyhktpQxjBMgOyo8\n",
       "5HMeFw1GRBIACYAbisMvAyAC0BgiUg2i3mrUWiJ5nS0eOmuMbIrKdPN7Vn4UqNp3E9PZ7dRYdMxk\n",
       "i/7TAFxbn5I89ZrDAOZ6GsqE/k4Fc3Tz53ew2AlTmqOJnRVEsqwISCLA3+Qwx2SpArIfkDwO5nNU\n",
       "C353A+931XM+Zy18jmrmdzfKsuT1Sp4ml89R4wv4XAEoAXMBAFJvCcKe0CqIr13Rxxmj3hZSLxjD\n",
       "eA0A6GVeu6C+cP0LAPagTSCfoDOLgtak4USdhhM0WkFrYqLRrmSL0Jsh6q2yoDUFNKYISZ3NVBlQ\n",
       "VBGpotK7EJGXcfyCQP53b0HQmMjnXA93zWOdjCG0+Fk6AIAxJgLQ6MMS9aLeajZaoz/wexwryHk0\n",
       "0pY+ITcya0a/LvX2JwOSS1CWYyAamn3hmC2dycfWlTN9uAx/k0NvtDx6ugUytaVo82dJDRX51zPG\n",
       "HPGj57xtSxrn6utz+py1nLexUvQ5a3hvYyW8jZXwu+oCAZ/b43PVuf3OWj+UBy5pSOcc5ERLUEAq\n",
       "aM1mcEIUBfwnDeQDAMZYs8gEIGitMaKot+k4QaPhBI2gMdoh6m1MNNhINNhkXmuUNcYwSZ3FVOlz\n",
       "BrFPJGPMBmAOgFB52mIA3xJRl0sRqyJSZUAgOVAM4JJTOgaRH8oPixNAdXAJvFRnTzDUF24zuWuP\n",
       "GfT2RKazxUnGyFSv6uB/augsUZ+6qvZdgMgRMQCAxmPF/7+9Ow+Tqy7zBf79ntqr9+7sSWchIYDI\n",
       "FhW4LBIENcAMy52rwOjgVVFmFGW8zKCgj0a9c7mOj4wLV4cBFGdQc10A4Q4IQQko+6KIEAgRsied\n",
       "9L7Vft77R51Oiqa709Wp6lNV/f08Tz3pU/Wrc96qJNVvvb+tZf6KixvmH7G3ccHRw7WeQG57/EfL\n",
       "e7s7bnfmn7TYLIvtf7j3zEA4/t8a5h1x0P2/Jys91O0ke3eF04NdTrK/A6n+vcilBtOZRN9Aont7\n",
       "Evl/7xlv8tpBeRV8+FmBnCzLDt/hdm8+3Wld0WJuDu6+ja/AzT41qefmk+cxE2jvPQjAWzEiVNca\n",
       "DNe1RZ1gOBIIx6KjE8xQrEkVTKl5JC8D8CUA65FPHgHgXQCuJ/llM/vhZM5TliSS5FrkB4uP7AV8\n",
       "rZn9qhzXEhlR0AU+BGCfV6mMxNuW1oXr2+qizfMDsdZ2izUvzBxsoo682fLVH3t204P/5+r0zsc/\n",
       "AjOLN7Z9s/2kS7b4Hdd06d+39e+d9tMW53OSMDDrrcfv/P097znynCPunsr53GwKyd7doWR/RzDV\n",
       "t8dJ9u2x9FB3Jpvs7090b0/gQMI4pWSG8VnXsWXFZXQcx4nP2mCJrisqOZm0RM8PGWsNu72v/1fk\n",
       "MilLdH/GzA65N8F7zSOfDW8wXoIZCMeigXA8GIo3MxRvsnBdq7rIZUosV7GdA18A8LbRVUeSLQCe\n",
       "AuBfEon8uJcbzOyGMp1fZjiv6rgQQLeZDYzVpqBSOUiS2IpwIByPxFoWNYTqWuPx1nbGWhe58VnL\n",
       "UurWmpyVZ39yA4ANPofhF4MZQO4/5Djj+8aSTQ4y0bMjnOzdFUz07kJ6YF8uk+gfTvbu7Mmlh9MA\n",
       "0pOtMB4MQ/FTnHnHXx2YdWQrALiDHYtyOx77E4Bvl+L85WKJ7psB3HzQhqW63sETzKB3C0Sa5oVD\n",
       "seZoIBSNOKFoIL+ZQqvGYMrEqm9MZFH/fsvZne37vpVSm+gEF7BhwT1sXNyOZM8g47O+bsOd35vo\n",
       "Od4vi5R36yfp9Lz2RCQUb4lGmxc0RhrnRONtSxBrWZRT17eMpWnuYd/o2f3M25w5xy6FmzHrfPHZ\n",
       "hSdfvH689umhbifRvT2c7OsIJHq2Wz5p7Bvwqoxp70tOeQQipzgNC1tHDlk3J0YneFLZrleDRpYk\n",
       "wxhjMQt27QqicAxmIBgJROoDIxXMUKyJoVhTTmMwZ7DKTSL/CcCzJB/Age7sdgDvAfDVyZ6knEnk\n",
       "p7w+92cAXF3MQE2RibBu9r8Glp21ik4QAGZjxxOfJfmTYv6NeRWfhHfr8SqbkfisZXXhutb6aPP8\n",
       "QHzWMjfWsigTa1k4/ZNYZNp0bvptU8+WZ44NxRr3Lj39o6+M1679pEu2Os/e8b7eXc9+kMTgordf\n",
       "+P36OSv2Lyu1P2ns3e0kerYzNdCZTg919ab69iSRTxqn799RLvmw279tX2D20bMBwAZ3DZmbfWTa\n",
       "rl+jSDYh2vIZxFpjSPZ9y9zsrjHajFQwA/C6yEPRxkgwWh9hILR/JnkurYUMxD/ePtn3AHgvgAXe\n",
       "3RuQH37YM9nzcKpDZEiuBzBvjIc+D+AJHBgP+VUA883so6Oeb2amaqUUzWle+nBw2bveOXLsdm3q\n",
       "yW1/9CQze7UU5/d+CYQD4XgkPmtpYyjeEou3LUa8bUku3rY0pe6q2rH1sf9Y0d+z5/tsPmyZpfr7\n",
       "neGOnx39F59bO5nnjpM0DnhJY8rvmdKMtX6KsZbLwUAAie4HLNF1dSWPiax0JBtYv+DhwOJTT4AT\n",
       "RG7H469a37azzM0VtctQwUxyx8xKNilLDqiU/IKkJe6/ZcrPj733clTC65jIlCuRZvbuybQjeQuA\n",
       "e8Z5bG3B4QYz2zDVeGQGSQ89Z4nuUxhrDZqbg9u3dTuAraU6/Vhd392bH41GGufGIg2zG6Mti4Lx\n",
       "1naLtizMxlvb0+r6rl4DXTu+yEWnLicJ1s1pdnOZC3Y9d+dNC1ZdtHt025GZ04meXYFE91aMqjT6\n",
       "njSOZonu7wD4jt9x1IxI4wcDC088geF6AEBg8emHZ1+99wsArijmNBPNJJepIbkawGqfwxhb5XZn\n",
       "l0S5ZmfPN7ORD+GLkF8s9k3MbG05ri+1zRKd/5Db/qiDcP0qZJNDNtz1d2ZWtt1pvK7vYe/WNTLr\n",
       "u2728oZwfWs82rzQibW2T7rrOzXQGdi84Zb/YbAVTiD41JHvuerWWl8ep1IZg2GHB77oMxSPpoe6\n",
       "GwDsziYHOdy1JZLo2ZUf0zjYlU31d/Sl+jsSqMCksZaRrEes7Wt0gnMsl/qFJXrWTXsQo6u4KupW\n",
       "DK8AtWHkmOSE6w5PKyWRU/I1kscjP8vndRT5TU1kIt4v76t8vP4bZ33j6UggFIvEZi1pjNTPjsda\n",
       "FzHWsigXa21PjzWQ/tWHbvou5h6/hpHGoDu496yN931j4dF/ee1Xpv+VSMDBg27/juPZuKjBzaRg\n",
       "fVtejyw+Zs/W3/2gLtXfkc0k+kaW20lN65hG2Y9kkHVzfxVYeuapDMXgdm06i7GWBkv0TNssbgBA\n",
       "euD23M4nPxZoP3WV1529CcmeSU9AkJnJKnux8RMALAfwopltnMo5ypJEmtll5TivSKXxur6T3q3P\n",
       "G+8UiTTOjUUa5zZEGmaHYq3tFm2a58bblqYywz1BizQe70QagwDA+jkxt3/bqX6+hpkqPdTtLDru\n",
       "nNu3PXOnm9n70pmWSfQ4ueRndz7z8h4oaawkRzhtK9/KUAwA4LStbHH7tr0f07gUEACY2SDJM7Ov\n",
       "P3gVwBiSPd8p6HETqSokvwjggwCeBfB1kteb2b8Vex7tWCNSQl6VtLDrOwggMrI1Y6iuNeSmE1m6\n",
       "WYABkATc7LT0d2z57a0rs4n+Wa3L/8sLrctPHnNtzVqW7O8IpPr2hJK9u51E706kB7uymeGe/mT3\n",
       "9n8B8L+VNFasIcsm9w9XMXMBN+vL35WZ9aOI5U9EKrg7+xIAx5vZMMk2APcDUBIpUklG7aLTSTKE\n",
       "aMttWYY+Haif24rBXR0hy9zWt/35aKRpXibaOLcsnzgv3nP9/3Tr5l3EeHvjzo0P/3moa+tl7Sde\n",
       "vK0c16oEb9gNZmAvE907mE30pVKDnf4suSNTZmZbnLrZv3RD8UsYaarPdb70Z0v2Xut3XCKTUrlJ\n",
       "ZMrMhgHAzLq8tU+LpiRSZBp54ym/TCd4VzYUOwHpwcezwPZtj3dHI/Wz6oOxprpY8wJEmua54fq2\n",
       "XLRxXuZQlxTa/uRPFrvxOec7rSuaAQDx2Yf37Xj0y+3Ah0vxmirBSJUxNbDPSfbtYXpgXy4z3JtI\n",
       "9u0u+W4wMv3coX0foxO8DcHIUmSGf21me/yOSWQyKnjbw8O8dSLHOjYzO38yJ1ESKeIDc7PPA3i+\n",
       "4K5hAN3et8FwIBwPR5sXxoORulioriUQaZyDSMMcizbOzUab52eKWVYom+hrZKgpPnJMx4FbxesS\n",
       "JXp2BtODncH0YFcgNbAXqYFOy6UG016VMYVy7wYjvjA3+yiAR/2OQ8RPJNcA+Cbya43eYmZfG/X4\n",
       "BQC+gvyWrC6AfzSz34xxqgtGHX+j4OdJFy6URIpUEK9aNjJRpx/YvzhxOBCOh/YnlvGmYDDahN7d\n",
       "r/wVyCWxxrl3LTvtshfGyg3nvHXNptce+8lm1M09hoEQrG9bf9BxHpjWFzYFyf6OQGaoJ5hJ9DmZ\n",
       "oR6mBjqQGug0N5tKpYe6RxLGDICMFtEWkYpUwtnZ3u+CGwGcDWAngKdJ3j1qZvWDZvZLr/0xAO4E\n",
       "sGL0uUq1LreSSJEK503WGdmi8UBiGZv1c2fBqnMZbginO1++4IVffOHapvkrHwvFWxCKN1sw2mDB\n",
       "SJ0FI/W52cuO/+vO15/4ijmB+kAguP6oc//hR76+KADZ5CAzib5ALpNwcqkhJzPc66SHupEe6kZm\n",
       "uNdymUQ6mxwczAx1p3Lp4ZFkUeMYRaR6lHZM5IkANpvZFgAguQ75iuL+JNLMhgra1wPoHOtEJC8E\n",
       "sMjMbvSOnwIw23v4GjP72WQCUhIpUp2WOq0rTg80LAwDgC14x/zsa+s/2PnKw7fjwL69gUjj3HAo\n",
       "3hJxguHBaCx+TTDagGCkjrufvyceCMUQCMcQCEXNCUbMCUXdQCjmMhA0JxAyAHACYXOCIRuv99vN\n",
       "prw/MwSAbHrIcdMJx3WzdDNJx82maG6OuXQCuXQCmWQ/sskBZJMDsFw25+bSmVw6kcwk+tKZoe4M\n",
       "8pOQslrIW0RqgZU2iVwIoHCbzR0AThrdyEsQrwcwH8B7xjnXNcjP0B4RBvB2AHUAbgOgJFKkhjn5\n",
       "9YHySI5sGDvulmrenuABAE7hLRCOO8FYYzAQigWdYCRIx3FIxwEdh3ToPdmhE8j/bC73T1Lx/jQ3\n",
       "C9Axc7NZc92Mm01lc5lE1s2m3cxQdw4HxueMxOeqC1pE5IBHXnodv33p9YmaTOoz08zuAnAXydMB\n",
       "/AeAI8ZoFjazwhU6fmdmXcgvTVc32ZiVRIpUp83Wvflxq5vzXkQag+7eP+2x1MCNEz3BS9pmTHcw\n",
       "yRbGZ98AJ9hi2cTdluj5vt8xicjMUsyONacfuQSnH7lk//H1dzw0uslOAO0Fx+3IVyPHvrbZb0kG\n",
       "SbZ5CWKhllFtryw4nI1JUhIpUoXMzEhemN2y4dNwAsuRS99uqYHH/Y6rUpAMs37+/YGlZ76DwQjc\n",
       "ntfOYKw1aonu7/odm4jMHJYr6cpizwA4nORSALsAXAzg0sIGJJcDeM37HbEKyK8DOca5niT58dG7\n",
       "1JD8WwBPTjYgJZEiVcqbZHKD33FUqCOdtpVH0hvL6bQc1uz2vHYhACWRIjJtSplEmlmW5JXI7y4T\n",
       "AHCrmW0keYX3+E0A/grAZSQzAAbxxnGPhT6DfJf3XwN4zrtvFYAogAsnG5OSSBGpRf2WGUoAaABG\n",
       "tsrLpA/ynIrljWeFxpGKzGxmdh+A+0bdd1PBz/8M4J8ncZ4OkqcAeBeAo5Efb/n/xllTclxKIkWk\n",
       "5nhb5f3UdcJ/g2hTo9u5cZMluq/2O65ikSRjbd9i28pzYIATn3WnO9x5jd9xicjkFDMmcrp5X0p/\n",
       "7d2mREmkiNQkd2jfp0jeAic4H272STPr8TumokUaP+DMP+EjTmN7HQC4Pa9fwUjDo5Ya+KXfoYnI\n",
       "wZV4TGTFURIpIjXLzEZvL1ldnOCprJ+/f7kNNsxvxN7wKQCURIpUgVpPIh2/AxARkXG42Qesb1vf\n",
       "yKH1betBNrXez5BEZPLcXG7Kt2qgSqSISIWyZN+djM86zu3fcRFgsGTvjy09+KDfcYmIAEoiRUQq\n",
       "mg13rgWw1ucwRGQKKnliTSkoiRQREREpg1ofE6kkUkRERKQMaj2J1MQaERERESmaKpEiIiIiZaAx\n",
       "kSIiIiJSNLfGu7OVRIqIiIiUgcZEioiIiIiMokqkiIiISBnUeiVSSaSIiIhIGWhijYiIiIgUrdYr\n",
       "kRoTKVWF0aZznYYFv3Tq5/6MgdBhfscjIiIyU6kSKVWD0aaznZbltzpzj5sHc5Hb9sixJE8zs31+\n",
       "x1bLSBLh+vfDCS5HZvjnlk1t8jsmEZFqUOuVSCWRUjUYiF7uzD1uHkmAAQTmHrcyO9x5HoDb/I6t\n",
       "VpEk47PWOfPfdj4jjVF374t/y0jj31iq/+EizzMf0darAcsg2fN1M+suV8wiIpXC1ZhIkcpglutF\n",
       "Lg0EI/njzHAKuUyHz2HVusPYsvwsp2FBFACchSe2W6r38wAmnUTSCS5g05KHAu2nrMxXkH93Hskz\n",
       "zKynbFGLiFSAWq9EakykVI9E1+dyWx561h3YlXN7Xh929/zhPuRS9/sdVo0L0gnu/5zIV4EdFnWG\n",
       "aNPnAotPW8lgFAzFEVh08jGINl9e8khFRCqM5XJTvlUDVSKlaphZL8nTc0N7T4blhgA8bWbmd1w1\n",
       "7lW3a9OzrJv7LkQaHHfvi3stNXBzkecwvOGvyQCz2v56LiIyAyiJlKpiZgkAD/kdx0xhZi7J87Jb\n",
       "fnMdGVhiufTtlur/dVEnSXT/r9y23707sOjko2Aucjue+ANSfcUmoiIiVUfrRIrIjGZmaQBrD+H5\n",
       "HSTPyL428Mn8xJreG82sv3QRiohUplofE6kkUkTKzluGaa3fcYiITKdSJ5Ek1wD4JoAAgFvM7Guj\n",
       "Hv8AgGsAEMAAgL8zsz+WNIgCmlgjIiIiUuFIBgDcCGANgLcAuJTkUaOavQbgnWZ2LICvAvi3csak\n",
       "SqSIiIhIGbilrUSeCGCzmW0BAJLrAFwAYONIAzN7vKD9kwAWlTKA0ZREioiIiJRBiSfWLASwveB4\n",
       "B4CTJmj/UQD3ljKA0ZREioiIiJRBicdETnpJO5JnAvgIgFNLGcBoSiJFREREfPbU7k48tadroiY7\n",
       "AbQXHLcjX418A5LHArgZwJpy7wymJFJERESkDCw3+f0w3jGnDe+Y07b/+LvPbxrd5BkAh5NcCmAX\n",
       "gIsBXFrYgORiAHcA+KCZbZ5KzMVQEikiIiJSBqWcWGNmWZJXArgf+SV+bjWzjSSv8B6/CcAXAbQA\n",
       "+B5JAMiY2YklC2IU+rVrHEkzs+L24BURERGZQKXkFyTtj5ecM+XnH7vuPlTC65iI1okUERERkaKp\n",
       "O1tERESkDNwixkRWoylXIkm+j+SLJHMkV4167FqSr5J8meR7Dj1MERERkepiOXfKt2pwKJXIFwBc\n",
       "BOCmwjtJvgX5GUNvQX5hzAdJrjSz6nhHREREREqgmNnZ1WjKSaSZvQwA3uyfQhcA+ImZZQBsIbkZ\n",
       "+a16npjqtURERESqjbqzi7cAb1z8cgfyFUkREZEZh7GWy536+b9gfNZ3SMb9jkekVCasRJJcD2De\n",
       "GA9dZ2b3FHGd2k7FRURExsBY22cD81Zd5zQvabT0kOW2bjia5Fnm1/p6Mq2qZWzjVE2YRJrZu6dw\n",
       "ztHb8izy7nsTkmsLDjeY2YYpXE9ERKQiMdJ4ntO8pBEAGK4jm5YebUN7F2KM7epkakiuBrDa5zDG\n",
       "5Lq1/V2hVEv8FA6MvBvAj0negHw39uEAnhrrSWa2tkTXFxERqTxuJmdmB+YPZBMZAMO+xlRjvALU\n",
       "hpFjkl/yLZhRan1izaEs8XMRye0ATgbwnyTvAwAzewnATwG8BOA+AJ9Q2V5ERGYiS/Z+Ibfjsdfd\n",
       "4X1wu17ps8Hd68ys2++4REpB2x6KiIgUiWQU+eFae8xs8CBtFyAYPx3ZxCYz9/fTE+HMVSn5BUl7\n",
       "7Mx3Tvn5pzz0SMVve6gda0RERIrAcP0qNi253WlcONcd2tfNWMs1lui5c7z2ZrYLwP+dxhClQtR6\n",
       "d7aSSKlojDScxEjzDQhGo0j1Pm/DnR83s6zfcYnIzMVoy42BpWceRRJO2xGt2S0P/RPJuzR0S0ZT\n",
       "EiniE5INbF72w8CSM44gCUv2Hpvb+kgfgM/4HZuIzGChWLxwow2G6uoMCAFI+xeUyPRTEimVbIXT\n",
       "vGTRyIc1o81BhOLH+ByTiMx0yd5XLD14LMP1tGwKNty1xcyUQMqbuDN5nUgRn+2wob2daF5WBwCW\n",
       "TQLZZIffQYnIzGbD+z6U27JhEOG6w5EZ7rChvVf4HZNUJtM6kSL+MLN9jLWuta0PX8dQfdSGOv5s\n",
       "w/s+4XdcIjKzmVkSwEf9jkMqX63vna0kUiqaJbpvI/nvBkTNTAv0ioiIVAglkVLxzMyFdngQEZEq\n",
       "M6P3zhYRERGRqdESPyIiIiJSNI2JFBEREZGimVvb3dmO3wGIiIiISPVRJVJERESkDNSdLSIiIiJF\n",
       "q/WJNerOFhERESkDy7lTvo2F5BqSL5N8leRnx3j8SJKPk0ySvLrcr0+VSBEREZEKRzIA4EYAZwPY\n",
       "CeBpkneb2caCZl0APgXgwumISUmkiIiISBmUeEzkiQA2m9kWACC5DsAFAPYnkWa2D8A+kueV8sLj\n",
       "URIpIiIiUgYlHhO5EMD2guMdAE4q5QWKpSRSREREpAxcm3wS+UJqCH9KD03UpOJm6SiJFBEREfHZ\n",
       "MZE6HBOp23+8bmjf6CY7AbQXHLcjX430jZJIERERkTLIFVGJnIRnABxOcimAXQAuBnDpOG1ZyguP\n",
       "R0mkiIiISBmUckikmWVJXgngfgABALea2UaSV3iP30RyHoCnATQCcEleBeAtZjZYukgOUBIpIiIi\n",
       "UgYlrkTCzO4DcN+o+24q+HkP3tjlXVZabFxEREREiqZKpIiIiEgZ1Piuh0oiRURERMqh1N3ZlUZJ\n",
       "pIiIiEgZqBIpIiIiIkWr9UqkJtaIiIiISNFUiRQREREpA3Vni4iIiEjRlESKiIiISNE0JlJERERE\n",
       "ZBRVIkVERETKQN3ZIiIiIlK0Wu/OVhIpIiIiUga1XonUmEgRERERKZoqkSIiIiJloO5sERERESla\n",
       "rXdnK4kUERERKYNar0RqTKSIiIiIFE2VSBEREZEycP0OoMyURIqIiIiUQa13ZyuJFBERESkDTawR\n",
       "ERERkaLVeiVSE2tEREREpGiqRIqIiIiUQa13Z0+5EknyfSRfJJkjuarg/qUkEyR/792+W5pQRURE\n",
       "RKpHzmzKt7GQXEPyZZKvkvzsOG2+7T3+PMkTyvn6DqU7+wUAFwF4ZIzHNpvZCd7tE4dwDSlAcrXf\n",
       "MVQbvWfF0ftVPL1nxdH7VTy9Z9UrZ1O/jUYyAOBGAGsAvAXApSSPGtXmXAArzOxwAB8H8L1yvr4p\n",
       "J5Fm9rKZbSplMHJQq/0OoAqt9juAKrPa7wCq0Gq/A6gyq/0OoAqt9jsAqQgnIl+k22JmGQDrAFww\n",
       "qs35AH4IAGb2JIBmknPLFVC5JtYs87qyN5A8rUzXEBEREalYJe7OXghge8HxDu++g7VZVNIXVWDC\n",
       "iTUk1wOYN8ZD15nZPeM8bReAdjPr8cZK3kXyaDMbOMRYRURERKpGiSfWTPZsnOLzikY7xDWMSD4E\n",
       "4Goze66Yx0nW+JwlERER8YOZjU6kpl0p8pzC10HyZABrzWyNd3wtANfMvlbQ5l8BbDCzdd7xywDO\n",
       "MLOOQ41lLKVa4qfwRc4C0GNmOZKHATgcwGujn1AJf8EiIiIi5VCGPOcZAIeTXIp8r+/FAC4d1eZu\n",
       "AFcCWOclnb3lSiCBQ0giSV4E4NsAZgH4T5K/N7NzAJwB4MskM8jvPX6FmfWWJFoRERGRGcjMsiSv\n",
       "BHA/gACAW81sI8krvMdvMrN7SZ5LcjOAIQAfLmdMh9ydLSIiIiIzj6/bHpL8Ov7cMKgAAAOqSURB\n",
       "VMmN3oKYd5Bs8jOeSjWZxUXlAJLtJB/yFsP/E8lP+x1TNSAZ8FZVGG/SnBQg2Uzy595n2Ete15FM\n",
       "gOS13v/LF0j+mGTE75gqCcnvk+wg+ULBfa0k15PcRPIBks1+xlhpxnnPlFtME7/3zn4AwNFmdhyA\n",
       "TQCu9TmeijOZxUXlTTIAPmNmRwM4GcAn9Z5NylUAXkIZZ/LVmG8BuNfMjgJwLICNPsdT0bxxXB8D\n",
       "sMrMjkG+O+4SP2OqQD9A/rO+0OcArDezlQB+7R3LAWO9Z8otpomvSaSZrTcz1zt8EmVcy6iKTWZx\n",
       "USlgZnvM7A/ez4PI/3Jf4G9UlY3kIgDnArgFb14eQkbxKhunm9n3gfxYJTPr8zmsSteP/Be8OMkg\n",
       "gDiAnf6GVFnM7LcAekbdvX/xaO/PC6c1qAo31num3GL6+F2JLPQRAPf6HUQFmsziojIOr/pxAvIf\n",
       "JDK+fwHwj8hPhpODWwZgH8kfkHyO5M0k434HVcnMrBvANwBsQ35maa+ZPehvVFVhbsHs2g4AZdt9\n",
       "pEYptyijsieR3liOF8a4/WVBm88DSJvZj8sdTxVS1+IUkawH8HMAV3kVSRkDyb8AsNfMfg9VIScr\n",
       "CGAVgO+a2SrkZ0Gqm3ECJJcD+HsAS5HvGagn+QFfg6oylp8Jq98Jk6TcovxKtU7kuMzs3RM9TvK/\n",
       "I9+Ndla5Y6lSOwG0Fxy3I1+NlAmQDAH4BYDbzewuv+OpcKcAOJ/kuQCiABpJ/ruZXeZzXJVsB4Ad\n",
       "Zva0d/xzKIk8mLcDeMzMugCA5B3I/9v7ka9RVb4OkvPMbA/J+QD2+h1QNVBuMT38np29BvkutAvM\n",
       "LOlnLBVs/+KiJMPILy56t88xVTSSBHArgJfM7Jt+x1PpzOw6M2s3s2XIT3T4jRLIiZnZHgDbSa70\n",
       "7jobwIs+hlQNXgZwMsmY93/0bOQncsnE7gbwIe/nDwHQl+KDUG4xfXxdJ5LkqwDCALq9ux43s0/4\n",
       "FlCFInkOgG/iwOKi1/scUkUjeRqARwD8EQe6fq41s1/5F1V1IHkG8tuUnu93LJWO5HHIT0QKA/gz\n",
       "gA9rcs3ESF6DfCLkAngOwOXehEEBQPInyG/YMQv58Y9fBPBLAD8FsBjAFgDv1wYeB4zxnn0J+dnY\n",
       "yi2mgRYbFxEREZGiVdLsbBERERGpEkoiRURERKRoSiJFREREpGhKIkVERESkaEoiRURERKRoSiJF\n",
       "REREpGhKIkVERESkaEoiRURERKRo/x8VGhbr4lDAGAAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108629590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "m.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we in stead view this is a mixture problem, and consider two _different_ kinds of kernels for the different GP components. One encoding white noise, and another which can encode a trend over time (an RBF kernel in this case)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "kernels = [GPy.kern.White(1, name='Noise'), GPy.kern.RBF(1, name='Signal')]\n",
    "m = OMGP(x, y, K=2, prior_Z='DP', kernels=kernels)\n",
    "m.variance = 3\n",
    "m.hyperparam_interval = 250\n",
    "m.Signal.lengthscale = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAApEAAAFwCAYAAADg2yBxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd4W+X1B/DvuVd7WvKQd2wnTuLsRRLIICGMQCmBQssK\n",
       "o0ChpYwfIwVCWQVKaVkFWhrKbNllUzYkgSRk7z2cON7bsiVr676/P2QHx3USL1mycz7Po8e+0h3n\n",
       "Ko59dN5FQggwxhhjjDHWFVKsA2CMMcYYY/0PJ5GMMcYYY6zLOIlkjDHGGGNdxkkkY4wxxhjrMk4i\n",
       "GWOMMcZYl3ESyRhjjDHGuqzHSSQRvUREVUS0tc1z9xNRKRFtbHnM7el1GGOMMcaOVx3lWx3s8zQR\n",
       "7SWizUQ0Ptox9UYl8mUA7ZNEAeAJIcT4lscXvXAdxhhjjLHjVUf51iFEdBaAIUKIfADXAngu2gH1\n",
       "OIkUQiwD0NDBS9TTczPGGGOMsaPmW63OAfBqy76rASQQkSOaMUWzT+SNLeXUF4koIYrXYYwxxhg7\n",
       "3mUAKGmzXQogM5oXjFYS+RyAXADjAFQAeDxK12GMMcYYYxHtW4Gjura1KhonFUJUt35PRC8A+KT9\n",
       "PkTEi3YzxhhjrNcJIWLepa438pwu3kcZgKw225ktz0VNVJJIIkoTQlS0bJ4HoMORRPHwj9yfENH9\n",
       "Qoj7Yx1Hf8LvWdfw+9V1/J51Db9fXcfvWdfEU5FKPe6X3T42uOnlrh7yMYAbALxFRFMBOIUQVd0O\n",
       "oBN6nEQS0ZsATgaQREQlAO4DMIuIxiFSRj0A4LqeXocxxhhjrD8hSe69c3Wcb6kBQAixSAjxGRGd\n",
       "RUT7ADQD6H4G20k9TiKFEBd38PRLPT0vY4wxxlh/1ptJ5BHyrfb73NBrF+yEqDRns6hZGusA+qGl\n",
       "sQ6gn1ka6wD6oaWxDqCfWRrrAPqhpbEOgHVPbyaR8YiEiE3XASIS3CeSMcYYY70pXvILIhK6ydd3\n",
       "+3jfmr/H/dgRrkQyxhhjjEXBQK9EchLJGGOMMRYFJHMSyRhjjDHGukga4JXIaC57yBhjjDHGBiiu\n",
       "RDLGGGOMRQH3iWSMMcYYY13GSSRjjDHGGOsykgZ2r8GBfXeMMcYYYywquBLJGGOMMRYF3JzNGGOM\n",
       "Mca6jJNIxhhjjDHWZZxEMsYYY4yxLhvoK9bwwBrGGGOMMdZlXIlkjDHGGIsCbs5mjDHGGGNdxkkk\n",
       "Y4wxxhjrMmmAJ5HcJ5IxxhhjjHUZVyIZY4wxxqKAm7MZY4wxxliXcRLJGGOMMca6bKAnkdwnkjHG\n",
       "GGOMdRlXIhljjDHGomCgVyI5iWSMMcYYi4KBnkRyczZjjDHGWBSQLHf70eH5iOYS0S4i2ktEd3Tw\n",
       "uo2IPiCizUS0mohGRvP+OIlkjDHGGItzRCQDeBbAXAAjAFxMRAXtdlsIYIMQYiyAywH8NZoxcRLJ\n",
       "GGOMMRYFJMndfnRgMoB9QogiIUQQwFsA5rXbpwDAEgAQQuwGkENEydG6P04iGWOMMcaioJeTyAwA\n",
       "JW22S1uea2szgJ8BABFNBjAIQGYUbg0AD6xhjDHGGIuKrgys8ZZvh69i+9F2EZ04zZ8A/JWINgLY\n",
       "CmAjgHCng+giTiIZY4wxxmJMnz4S+vQfx8E0bvhP+13KAGS12c5CpBp5iBDCBeCq1m0iOgBgf2/H\n",
       "2oqTSMYYY4yxKJAk6s3TrQOQT0Q5AMoBXAjg4rY7EJEVgFcIESCiXwH4Tgjh7s0g2uIkkjHGGGMs\n",
       "CqgXk0ghRIiIbgDwJQAZwItCiJ1EdF3L64sQGbX9ChEJANsAXN1rAXSAk0jGGGOMsSgg6tVKJIQQ\n",
       "nwP4vN1zi9p8vxLAsF696FFwEskYY4wxFgW93Jwdd3iKH8YYY4wx1mVciWSMMcYYi4Le7BMZjziJ\n",
       "ZIwxxhiLAk4iGWOMMcZYl0m9PLAm3nCfSMYYY4wx1mVciWSMMcYYiwJuzmaMMcYYY13GSSRjjDHG\n",
       "GOsynieSMcYYY4yxdrgSyRhjjDEWBTTAS3WcRDLGGGO9gIiyAVgB7BZCBGIdD4u93l47O95wEskY\n",
       "Y4z10Eir5anf5OddlKrTGv5bVrmLiOYKIepjHReLLe4TeQxE9BIRVRHR1jbP2YnoayLaQ0RfEVFC\n",
       "T6/DGGOMxSMiGvWTjLQrrswb5Jibnmp+ZNzIE0ZZLU/GOi7Goq03WutfBjC33XN3AvhaCDEUwLct\n",
       "24wxxtiAo5OktFyTwdK6bVarYVDJtljGxOIDSdTtR3/Q4yRSCLEMQEO7p88B8GrL968COLen12GM\n",
       "McbikU9R1r5XXLY3pCgAgG8rqxvr/IH/xjgsFgcGehIZrT6RDiFEVcv3VQAcUboOY4wxFlNCCKdF\n",
       "rT7nxnWbnzCqZG2F1/fJPpf7+VjHxWJvoK+dHfWBNUIIQUQi2tdhjDHGYqUpGNwD4OxYx8HiS3+p\n",
       "KHZXtJLIKiJKFUJUElEagOqOdiKi+9tsLhVCLI1SPIwxxhgbgIhoFoBZMQ7juBStJPJjAFcAeLTl\n",
       "64cd7SSEuD9K12eMMcbYcaClALW0dZuI7otZMO1wJfIYiOhNACcDSCKiEgD3AvgTgHeI6GoARQB+\n",
       "0dPrMMYYY4z1JwN9nsgeJ5FCiIuP8NKpPT03Y4wxxlh/NdBXrBngqzoyxhhjjLFo4GUPGWOMMcai\n",
       "gAZ4qW6A3x5jjDHWNURkJqIkGuhtkSzqJIm6/egIEc0lol1EtJeI7ujg9SQi+oKINhHRNiK6Mpr3\n",
       "x5VIFpeISAIwAZEPOhuEEKEYh8QYOw6kDR39+KRzr/i5zmSR96/9fhMRnSeECMQ6LtY/9ebobCKS\n",
       "ATyLyJiTMgBriehjIcTONrvdAGCjEOIuIkoCsJuIXovW31BOIlncISK1Jjn/v+YRp08HyZJrxxer\n",
       "iGiuEMIf69gYYwOXzmQ96ZRr7rhm1Jx5FgAYPuNMx0eP/N/9ABbGNjLGAACTAewTQhQBABG9BWAe\n",
       "gLZJZAWAMS3fWwDURbMIw0kkizsqS+q1tinzT9Ek5qoAQJ2QMbN26dO3AngkxqExxgYwg9U2OjV/\n",
       "pKV125aWLat1hrxYxsT6t17uEZEBoKTNdimAKe32+SeAxURUDsCMKE+xyH0iWdwhWZMhGxIPfcCR\n",
       "DXaJJFV6LGNijA18TdXlX2395oNSISIr9e5e8VWjv9n1WYzDYv1YL/eJ7MwS0gsBbBJCpAMYB+Bv\n",
       "RGTuzXtqiyuRLO6Evc5XmzZ/cGnClMuyAULTpvdLw97GF2MdF2NsYAsFAwds6YOubSgrWqjW6aW6\n",
       "kgOf1Bbv+1es42L9V1f6RDbs3YiGvRuPtksZgKw221mIVCPbOgnAwwAghCgkogMAhgFY1+lAuoBa\n",
       "P3H1NSISQgge+cY6pDIlTlGZHXeDiEJN1X8JuWu+j3VMjDHG4l+85BdEJOY8s6zbx3974wy0vQ8i\n",
       "UgHYDWAOgHIAawBc3HZgDRE9AaBRCPEAETkArAcwRghR3+1AjoIrkSwuhdx1qwGcE+s4GGOMse6S\n",
       "e3F0thAiREQ3APgSgAzgRSHETiK6ruX1RQD+COBlItqMSJfF30UrgQQ4iWSMMcYYi4reTCIBQAjx\n",
       "OYDP2z23qM33tQB+2qsXPQpOIhljjDHGoqC3k8h4w0kkY4wxxlgUDPQkkqf4YYwxxhhjXcaVSMYY\n",
       "Y4yxKBjolUhOIhljjDHGokDFSSRjjLGuUhmsBdqk3GdknUkXbKxc6asuvEMIocQ6LsZY3+FKJGOM\n",
       "sS4hIpN5yEnvpZ91ewFJMrwVuyZVLnneC+DeWMfGGGO9hZNIxhjrfcMsw2YOIkkGAOjThmvVpsQT\n",
       "YxwTY6yPDfRKJI/OZowBiCypRURTiOgEIuLfDT1T4ave19C6EfY3I+xtqotlQIyxvidLUrcf/QFX\n",
       "IhljICLdOHvCl5cNGTQ5pCjK64XFy4jobCFEKNax9UdCiHKdY/CTSsB7ozohTe8uXF3krdh1Q6zj\n",
       "Yoz1rYFeieQkkjGGPLPxd/ePHzkj22QgAEgz6E/9/fptVwNYdIxD2RH4qgofJ6LnASQAKBdChGMd\n",
       "E2OM9SZOIvuRlNxh19szci8XQqC+7MALNUV7Xoh1TGxgUEtSWopee+gjc6peJ2tlKT2WMQ0EQggX\n",
       "AFes42CMxQZXIllcsKUPOm3SvMv/MP6sixIBYN1H/8qzOjJ3N1aVLot1bKz/c/oD//zHrsKf3jwi\n",
       "P0MAWLSr8GCV1/fvWMfFGGP9GSeRLC5o9MZzR82Zl9i6PWrOvOTtiz86BwAnkazHKr2+DZlGw/xd\n",
       "TtetYSFESbPnwcZAcF+s42KMsf5MJk4iWRwIBXybKvdu82WNOkEHABV7tnkCPu+mWMfFBo7SZs9S\n",
       "AEtjHAZjjLF+gpPIfqK+9MALS19+fEb26BNmKYqC0m3rv3JWFL/R13EQkXp0ovWlIRbzOGcg4C9q\n",
       "av79/ib3F30dB2OMMRbvuDmbxQUhhABwORGZWjabYxHHCJvl0YemjLko12JSCSHwh3Xb/0ZEU4QQ\n",
       "tbGIhzHGGItXAz2J7B+zWbJDhBDuWCWQAJCk147ItZhUAEBEmJ2RkgUgP1bxMMYYY/FKJVG3H/0B\n",
       "VyJZl9T7AkWVHq9INegJANZU1VUAOBDjsBhjjLG4M9ArkZxEsi7ZVt94y+9+2JRZYLMWNPgD/sJG\n",
       "9yNCiMpYx8UYY4yxvsVJJOsSIYQXwNlEJPMKHIwxxtiRcSWSsQ5wAskYY4wdHSeRjDHGGGOsywZ6\n",
       "EsmjsxljjDHGWJdxJZIxxhhjLAq4EskYY4wxxrpMlqjbj44Q0Vwi2kVEe4nojg5ev52INrY8thJR\n",
       "iIgSonV/XIlkjDHGGIuC3qxEEpEM4FkApwIoA7CWiD4WQuxs3UcI8RiAx1r2PxvA/wkhnL0WRDtc\n",
       "iWSMMcYYi3+TAewTQhQJIYIA3gIw7yj7XwLgzaOdkIhuIiJbdwPiJJIxxhhjLAp6uTk7A0BJm+3S\n",
       "luf+BxEZAJwB4L1jhOhApKL5TktTeZdKp9yczRhjjDEWBV1pzt67YRX2bVx9tF1EFy79UwDLj9WU\n",
       "LYS4m4juAXA6gCsBPEtE7wB4UQhReKyLcBLJGGOMMRYFXUkih086EcMnnXho+8uXn26/SxmArDbb\n",
       "WYhUIztyEY7RlN1KCKEQUSWAKgBhADYA7xLRN0KIBUc7lpuzGWOMMcbi3zoA+USUQ0QaABcC+Lj9\n",
       "TkRkBTATwEfHOiER3UxE6wH8GcAKAKOEEL8BMBHAz451PFciGWOMMcaiQO5aF8OjEkKEiOgGAF8C\n",
       "kBFpct5JRNe1vL6oZddzAXwphPB24rR2AD8TQhxsdy2FiH56rIM5iWSMMcYYiwKpF5NIABBCfA7g\n",
       "83bPLWq3/SqAVzt5ysHtE0gi+rcQ4jIhxI5jHcxJJGPsMERkli3pD5GsSlICnlfC7pqvYx0TY4z1\n",
       "R3L8L1gzsu0GEakQacruFE4iGWOHEJFGlZj3lWXipVNJa4J335JTVeaU60Ku6g9jHRtj/UVBbtaF\n",
       "VpPxXI/Pd2DrvoP3CyECsY6JxYYUp8seEtFCAHcB0BORq81LQQDPd/Y8UU0iiagIQBMio32CQojJ\n",
       "0bweY6zHxuvzZoyXdGYAgCH/lJRg7f5rAPS7JJKIdCl67TwioiqP72MhhCfWMbGBb0x+zk13XHH+\n",
       "/ZfMPdl2oLxKufK+pyYQ0ZlCiK5Mz8JYVAkh/gjgj0T0JyHEnd09T7QrkQLALCFEfZSvwxjrHT4R\n",
       "8gYAaAFAKGEIJRSOcUxdRkSGE1ITv7llQsFUiUBPrt+5lojmCCFcxz6ase7Lz0q/4NIzZ9kAIC8j\n",
       "VTpv9tRxq7btTgVQEePQWAz05sCa3kREw4UQuwD8h4gmtH9dCLGhM+fpi+bs+HwHGWMd2eIrWvWV\n",
       "pDGdLRlsWu/eJYVhV+XCWAfVVXlW02/vP3HM1FyriQDg4enjTvjNN2tuB3BfjENjA5zXH1CEEGhd\n",
       "+MPpag4D8Mc2KhYrvT2wphfdBuBXAB5Hx5OYz+7MSfqiEvkNEYUBLBJC/DPK12OM9YAQQhDRz12b\n",
       "3jmbVNoMpbnuIyFEv6ugqCXJYlKrDv32NmvUUElkiWVM7Piwp7js4QV/fTnv6nmnZW3ZW+T+evWm\n",
       "D7k17vgVrwNrhBC/avk6qyfnoWh20yCiNCFEBRElA/gawI1CiGUtrwkhRJy+vYyx/kwry5mnDUpb\n",
       "8vD0sUOICPeu2Lz/64MVpzUHQ/tjHRsb+LQadW5OWsqZ9U3unTUNjUtiHc/xJl7yCyISr28oOfaO\n",
       "R3DphCxE6z6I6HwcZRlFIcT7nTlPVCuRrRUMIUQNEX0AYDKAZa2vE9H9bXZfKoRYGs14Bgpq+R8S\n",
       "6zgYi1f+cLjUqFadcdnnzQ8QgQ40uh/kBJL1FX8geADA32Mdx/GCiGYBmBXjMDoUr6OzEVlb+2h5\n",
       "RKeSyKhVIonIAEAWQriIyAjgKwAPCCG+ank9Lj4p9DdEZDoZSAsBoRAQDgAhHxBqBkL1QMgNKIg8\n",
       "wq2PYyWcY9KTFw5NsV2ikiTaUVX36Zaymt/1xb0wxhhjvS1e8gsiEm9vLuv28ReOzYhaJbK3RLMS\n",
       "6QDwQUvnYhWA11sTSNYjdBYgpgH+JkByA6pmQOMFJC9AHoAaADQB5ATgBDCdKOQHgs1AoA4IVEfm\n",
       "gQoBCKdbjTNvnT3p9osnFtgA4KtdRdn5ybbNe2saXo/hPTLGGGP9Xrz2iSSi+UKI14joNkQqktT2\n",
       "qxDiic6cJ2pJpBDiAIBx0Tr/8U4XeSgpkarjUTUC5AKkBsBQD5gbAaoCUA2gkKTzxqcm2updzZBV\n",
       "Mk4clG7SquQ5RPQGN5kzxhhjA5Kx5asZhzdrE47ezH0YXrHmOGAFhBUIZ0aatw/zYCC4fEdR+WXZ\n",
       "BXnWsD+IZQfKmw3N3p2nA4MnEwXdgLcE8Lkj1cugECIUg1tgjDHG+p14neKndb1tIcT9PTkPJ5HH\n",
       "uXs8vmX3rt/1wqbiqnmyJFFxVf2Sp1ye17UAqgGpFDDWAeZKQKoAxCwipQnw7QWa3UAAnFgyxhhj\n",
       "HZLjd2ANAICIBgN4CsCJiFQgfwBwixCiUwMRozrFz1EvHCcdX/sbIjI/CjjmADFZws0H4CCgrgRU\n",
       "ZQAVA1QDhOsAb9GPiWVACHHMZnbGGGOst8VLfkFE4pMdld0+/qcjUqM+sIaIVgN4FsBbLU9diMh0\n",
       "jFM6czxXIlmX6AAMA4LDIs3bAA4llppiwFACSAcATCYKVADu0sjLASFE8EjnZIwNLPlW87V2reYs\n",
       "dyhUs6Oh6TYhRFOsY2KMdUgvhPh3m+3XiGhBZw/mJJL1WEeJZTUgFQHWYsB2EKBZROFKoHl3pILq\n",
       "R6QZnAfuMDbADEuw3PbrgsH3zclwmOv9ASxYvXkEEc0UQvS7NdgZ66k4Hp1tR2QQzedEdBeAN1te\n",
       "uhDA5509DyeRLCpSIiPHfZNbtn0A9gL6A4D5IEBFQHg0kXcb4MaPTeCcVDLWz2Ua9WfPyXCYAcCu\n",
       "1eCsrLThG2obcgHsi3FojPW5eB1YA2ADDh+FfW3L19bR2Xd25iScRLI+oQMwGgiMjiSMrUmlthQw\n",
       "HgBwEBCjiTzHSiodibYxBblZf1CrZLmovPpve4vLvohm3BSZ6DQRgJMHEPUPYwuG3pQ3KOu8Zo8n\n",
       "tKuw6PfFZRWrYx1TrLX8HEttHtTuIZkAMgCSLvI6NC1f1S1fW7/3A0Jq88cn2GaasQCgJCdaRaM/\n",
       "AJUkgQgoa/b4AYSJSI/IcUrbr9x/mg1k8TqwRgiR0xvn4SSSxURHSeVBQLMfcOxrqVSOJfJsAZoB\n",
       "+IUQAZ1Wk3nh6TM/eP6em/IkScJD/3xz0uCstAsLSyq+j0qMGnXmKeOGfzhj1JC0nSWV7pE56Qu3\n",
       "F5W/F41rsd4xatiQy+64/qoHLpl3VoKiKLjurgcHE9G01iVYOysv0fqTXLvlFgKhqKHpuX21zrj7\n",
       "d29JDGVEkjwZgGwCpFRAYwBUGkClBlQqQD4dICMiE8PpANIDQg1A0/JQAzAAQtXyfCtVS7KoPsK8\n",
       "ccFIAnpICKDPne4n/rZ+W+7pWak5B1yexn3l1Z/dCcgBICOIyH9oL0A+QPgAOoVIBCKrbykBIBSI\n",
       "LIzQfgWu1lW4FG4WZ/1JnOaQhyGiUQBGIPKnGQAghPhXZ47lJJLFhfb9KlsqlboDgGk/gFlESm5a\n",
       "yiU3X3puniIEZCLcfc1FqZ8tX3sNgKgkkVML8l54957rJuo0kT+rVz3+6iNE9IkQIhCN67GesydY\n",
       "z7lk3lkJACBJEn5z2S9yv/ruh1n4sb/PMaWajWMvGDNk0e9mTcwgIjyzYvOoTKupsrTRvSJacXeE\n",
       "iA4lhwDkFECdCGiMgEYLqE8HZAtAFkAkALAAZAYUM6AYWx5mIGht+aDWVyaHwxveraw9+42a+onm\n",
       "sFL2JLDzWMf4ALSswCU3A+q2K3A1R16jJkC42iSdfiDoAoJeIFgc+b3RfrlXrnAydgxEdD+AkwGM\n",
       "BPApgDMBLAfASSTrvzqqVN7r8TQU7yoMJmk0aqgkOL1+NHt99UQkR6M64UgwJ7QmkAAwOjfD/NbS\n",
       "tXYA3Z+zgUWV2+OprKiuQVpKMgBg2+597tqGhk7Nd9bKbtBd9KspozJalmzFryaPdHy288ClAHo9\n",
       "iWypJqpaH9mRRFFnALSnA3IiQEmAsCGyaIAdCNuAcBLg1x391DF1AdBwQVj5prP7d2UFLuCwVbj0\n",
       "XsDY8j2aflz2VcyMJJtBLxBwAoGWRDOMwxNN7ofNokqO3z6RrS4AMBbABiHEL4nIAaDTyx5zEsn6\n",
       "BR2A3ze6P3z8jY/OudTrna7XaOUX3/ts66QDJS8NBfKmEvn3A66aSL7p740qRFFV3a7i6rrJ2SmJ\n",
       "FAiGsHTz7kpEVotkcWrjtl13XvTbO8Zcet5ZI6tr6wOfLv7+fZ8/0KU+kd5gcN8Xuw8Gq7w+tU6W\n",
       "MTEtKeQPKz0aFNJSVVQBUJkAdR6gNwK6UwF1MoAkQKQASASUJCCUCASsXVh67HhztFW42qqOJJfa\n",
       "RsDQCFBjS5LZAMAJYDpR2B9pPg/UAYFqIITIOUPgaibrBXE8sKaVVwgRJqIQEVkR+RuX1dmDebLx\n",
       "fibWk43Hmh/Aw8CoIKC5Gtg6pKX5+1PA/D2QZwCq/EBTPeDbBTS5I4d0a+Q3EemmDM99Pic1cXhV\n",
       "fVPTur0Hf+Xy+A709j0d74hIPzQz9XqNWmXZW1r1vC8QKOvh+WQAOQA8Xe0LCQB5Kfa5550w4oN7\n",
       "z5+tq3d7cfnf/uNcvqc4UwjR3Ilrt1YW1SZAlQHo7YDeDKjSAEoBkAoodiDsAEKdrbyx6PABqAXk\n",
       "akDlAqS2SWZrRfMI1czWJJP7Z8aheMkviEisOFDb7eOn5Sb1xWTjfwdwNyJT+9yGSLfljUKIX3bq\n",
       "eE4i+5d4TCLfBBK3JSX8UggRmlHX+NKZwFEnFq4A5DeBrGyg8YLI7+oeud+cMKE0b9RTSSMnO5z7\n",
       "t9fp92199Mba8k8LAXVhZPJzpR7w7gNcLp5OKKYMspybptVdGVCU6lK/758AaMaYoUuevnH+VKvR\n",
       "QHc8/86+z1dvPsPl8XWpCbo3nVyQ++HHC+bPa23OXrytMHTxM++c5g0El7bdryVZVQNQDQF0FkBv\n",
       "BbSpAKUBIqOl+XmgJ4vPApluQHcNsD9pgN1na1/NKkDVBEhNLc3mTvxYzfQBIR8QcAGBSiDgPrzJ\n",
       "nAcCxUC85Bf9IYlsi4hyAFiEEFs6eww3Z/dD67SmtN2GhLj4ZV0d9NukVOPTN8+akBtWFPz92/Xz\n",
       "NjQEbrTJ6g6rNrUhv6Uu4H9shMaQvlcJ+W8MBz4u0Fte7UkM++1JjxT85KrBREBC7ijTrqbG330e\n",
       "whYiCR4lpMkmKZAshCpTCavrADiJRJY9y9Og1nkllSYgq3W8mk5faKoaOsnueO5CR2pWQygU/ndF\n",
       "+aV1Gu3b1807Y4paYyBPELjrsvOG7Cytf8KWM7HTKyb0thwVdHuqXVCrIjPb7KlxhcLahGRz2vBR\n",
       "UjiosoQCekM4pBtrTpGsAFkBaEkKa0kKayUpDESSC2esbqCPCKGg2Ka9c9oJY6ZZTHr58eXr99ur\n",
       "XLcZJZU/GtdTFIUkSYqbD3+2lkdICAoJRQoKIYchJB8ALwS8ALwCGGFxUFCSggGSgz5JDgclORiQ\n",
       "VWEiKRwOeBs9dQdLYnsnLJp6uzmbiOYista1DOAFIcSjHewzC8CTiHzIrRVCzDrK+QjAzwBMR6QL\n",
       "zTIAnEQOZEGtUZuXPb4u1nEAQGnjrt/84ZwZuWa9FgBwy1kzh/7lszVnTUwY3mFiWHhw/T1X2FNH\n",
       "6EgGACz2Oc/1mBM/GJWQ3u3BKlv1ilprth/aNqVka+qafellBvXfdWaLMRTwOR2e0MIp+pTNABAW\n",
       "CpoCPnW9EjDUCBjqJUnx6BO8TfZMj86aFtAlpAUllba74bAjCHxy729uGZSTJREhE5AvkjWTnm9y\n",
       "rbRabZLVmgAACIbC0JttypBJNx+z6TgalJAf1eve+uMDH60cevXMcbmV9Y2Bd1fsWjsndVhZApHV\n",
       "QpJiltRho1rTqJFUcZPQ9KX6gEe7SnLfISQafs3pE4ecNnWCCgBmTz1h7MInXrk6TSQ+W+13W4aa\n",
       "k2tUvfAeLWssH1Ws1S1Ume3mUENVzWRIC/JNyXHx+6+zAkqI/OGQ7FdCUkAJa4NC0B4AG72N/AF2\n",
       "gOvNgTUtrR/PAjgVQBmAtUT0sRBiZ5t9EgD8DcAZQohSIko6xmn/DmAwIjNYEIDriOg0IcT1nYmJ\n",
       "k0h2TDsby9PrgrUPJWo11lpfoN6hdSwcanHUtLxMbf+PkEQgHPl/jVaQuTWBBIBUSWNZ729OQg9G\n",
       "PAdqq/Z766vy9XaHFPS40FxRVFZq0v1zxuU3Wk22ZOxf952+cPXiRwCcBQAySbBpDUEbDMHBaEkq\n",
       "fW5tU8kWY3XJZqojSXHprV5XYnazxpwcNNizApxU9hzh8B8MmYgC0G34yztfbv7ztReMtRoNuP/V\n",
       "j4prKfmpxD6IJ+Rzk6+pUh3yNsrqxiqtoblBr/e7teOAUKjBd+PTbyyeLgmqmWvLW6qVNQM2YfzG\n",
       "W3GuTyMYQE+zAAAgAElEQVTPRCBUPl1lezpBrT/qlEAr5eYHT732tjk1hTtpcOaP/5eTbQkEtWp8\n",
       "YNSgd0dmZupWr1hZnlzpvCnXnPQ/RdmQEqLVsvMGa1LiSLfL5Uqs8T2Sb06pb7+fUMI4qNXfmz73\n",
       "2iFEhHAgkLH2q3/8IR/4ba/cfBSt81VNCdsMF4RCoUBSffCpYeaUGnOb14s8Tn3MgmN9ppcrkZMB\n",
       "7BNCFAEAEb0FYB4On0brEgDvCSFKAUAIcaz29NkARrQOIiOiVwDs6GxAnEQOIEs8FWfAkTxfpdZI\n",
       "zRXlq85QJz9DknzsA4+hLlj7yK0j80erJQkBJZz7xLbCh4fCcS0ABL3hfQ+9t9SXZTPrhmQm4/t9\n",
       "ZXtz1SlHnJg5IEsbC4PeCYPVel0YAhuD7rLh9vxD/d82NZRmONVirCEo9k62Ze/t6BwlzQ3mKn+T\n",
       "fajZUb5Vcc6wG1RS4QeL9qiMVrficddmezwva2ad+rrZHpnmZfAJJ6NsxyZbU71Pbemg6bptUjkI\n",
       "LUml36NpKtliqIVAPQhurcnvsqQ0IyEtoEtID2iM9rjoTtCfNFrS//5SRdm4y1LT053BgHi/tnZj\n",
       "2vTrlpc1Va+55qm3rpcJlkZt5otJE39edMxzlW7RW5xr7zWbjKkNTZ418oj5z0kqzRH3DzTXS/6m\n",
       "anXQ06AyNVbqNN5GnTXoV+cAsBFgJlkxqrQhoyHBCwCIfH2nd+48fv3XVfzrtLysq0cOy5fLq6ux\n",
       "fMfuyT9RNL842u8NS2pmrjkxhUiS8J8lb+F3v3CAJAnvf7vC6cgelHrbggU2ADj7p/Psd99++125\n",
       "ftzR/hyrJefNv77tlgsLRozQej0e3LdwYWqgIXiFRlYf9v+qJtCs19rTTa2fVGWNBpLBZuvdd6H3\n",
       "rQtUTxlxykkPXnH11UmBQAAP3Xvv0JKihquyjDZXrGNj/VoGgLbdH0oBTGm3Tz4ANREtAWAG8Fch\n",
       "xL+Pcs59ALIBFLVsZ6MLS5RyEjlAbHCWDUqYesKt08+7JBkADmzZkPPtf14rP9WQ3qOVNoQShkOr\n",
       "tamlSP+wDbVOqKCMWFy5+T6NZPjvaLv++p/lZugA4KP95V6PM/xsVsqRf1HOyRj94relW9Vrgu6J\n",
       "PiH8iZaUvzj0Fg8ArAxUz8mZPWXBz06Zk7J98ybnsq+/fQ0NntW1QhmRIavWT7Zl7f+ubNvPk4Ry\n",
       "RZ5KbdpQscM78ucX6n9y4aWW+uoq5fk/P7x2pi7p7sJQXWK9pzmMlp9vIQCfxx20qC2dajpqn1QC\n",
       "gCvoU7lqD9jqawqlWgE0qbWBZqPN60tI96mN9pDOkhpU6UwDtlrVG5JO/vXGDUufu2bnwaLLhaQq\n",
       "V02+7G9me1ZQb88KImfiXwDgWO0uAKCEAkhyb3jl2acene5wpGDl6rUz//jkcwkYfdUjSsgPv6tW\n",
       "FXDXqqipWmPwOLVab6MuJRxS2QCRQASjrAqbVNqQzqD3RvmW454lyfqLh++4STYajQCABx9/Jm/T\n",
       "2l1Z421ZR+yn53M3+iEETLYk+CbNxfWPveCxquWt5RV1Gy6+7rorWvczmQwwWy2WjibFSkxPHV0w\n",
       "YoQWAPQGA6ZOn56+6Y1PUtp3a0nWGL3+2lKnCCupJEsI+b1Q3HXVMKf30jsQHUGz5rwrrr46iYig\n",
       "1Wox/6pfDn769w+elAXbl7GOjfUtWTr2Pl3Qmb8xagATAMwBYACwkohWCSEOK8oQ0Sct35oB7CSi\n",
       "NS3nnwxgbWcD4iRygKhRiUknT5mR3LqdO2aCft0n70wC0KMkkiQZNf6AM6QomSur6qAhws3D8w3N\n",
       "weC8p/cUnnhKev6hv/tnZqXqN9XtnYZIx9wjnu/U7HH/6Og1bXryFfN/9ZsUAMgdPDThu6Ur5tdl\n",
       "DZuvTRmSsLdsa2155c5FeUr4inPNyekAMElrtny9axeICImOVOmEk2cP3fH+Z6ljbBkVH+/Y9PX+\n",
       "1Mwz7Rm58o6l//Vr6+ofQoKl2++DWa0LmdW6UOufLl84KLnddcbGpipLg4iM1PRo9EGX0e4JJaT5\n",
       "NMbEEPetPJyy5cUbzzxp6PzUlBM1i39YV1gd8DzXnfPU7V1hu2j61CGJiXb4fD6MHlmgy0y2Tq/8\n",
       "4V8Z5oBXnQ7ACkFWkhSjrAnpNfqgRlLxKkMdMJv1utYEEgAKhuRJ7y1fM3784dWOwxjrGp/88oUn\n",
       "784eOS6xfM/2BtEYfmKEPvn7VK1Gu3Tx4tNnnTJnsEolYdfOXYHG2vodkaXnD9fU1OgLhkJQqyJ/\n",
       "gsqKi71JWuP/fPgkSUZBMHDXri+eu0822szhppqqmZL+nl65+SgKB0NeT7MXRpMBAFBXWx9AKNQY\n",
       "47BYDHSlOXvtD8uwbuXyo+1ShsPncMxCpBrZVgkig2m8ALxE9D0ik4m3b9l7vN12a4JK6MIctZxE\n",
       "DhCmYHhX6e5tjYnpWVYAqCk9GCJ/YD96odeNSWW758nt+x5UE4b8duhgHQAY1WqclJRo3tzQ6D85\n",
       "NVkLAMVub0AiudvzKOr0hkM/j0IINIQ0JtPIaSoAUFscSc7G8gsdAe+hO5JJAvl/HAjqaXaHtbIq\n",
       "CAA/1aTcu+TT9z87qJIGZSjysjEJOeXdjavDWGW1opPVgbaVs+ZQQG5urDQ3NpQmREbnkvBo9EGP\n",
       "3uL1Whx+tcEWUhttIZ3FcdxN+VGy6vWcX82ddM1vr7woCQAuPGduylULHnxAYPxRR2ErIT8CHqcc\n",
       "cNWoQz6XbHDVaM2NlZayPS7RUFISWQ9QCKgbGsWpUItDzdGsU+qqqxtKSsvSsjIzoITDWL9xI2S9\n",
       "PPyDmiK1S6U9GeGg7wSN7i8FlpTWPtA4yeBYX13ReOmBve+n5RvtVan61GYAsGtN/vL9Vbffccst\n",
       "d5qtVm1teeX2KWHrs+igEqOvdD36wN13P3byKaekFe7d6yratuuNKfrEDgdTTbSmHZwIXAUBwJwW\n",
       "pXeid2U04q8P3nvP8EuuuHxoU2Nj4J3XXl81zZrdpUnv2cDQlS6Rk6fNwORpMw5t/+OJ/xl4vQ5A\n",
       "fstUPOWIzO14cbt9PgLwbMsgHC0izd1PtD+REGLpjzFSKoATEEke1wghOr2oBieRA8Q026DtXy1b\n",
       "/Gbl/n1na/R6qaZwz7bTNMkv9sa5xyRkHgQyL19WveUZRVGmSS1N285AoHlzjWtrvS84WibCpvqm\n",
       "zTOTRnS7H1l1cfGarZs25IweN0FXcvBAKKRQCG1+RknWKDv8nsrJWrNNI0koDfpCpa4Gf3lJsbGs\n",
       "6IB3x5rVy2ZbHLU73VVpLofxztS0HH19ZdXWEcLe5Qmnu8Oo0oSNKk04pc1zrRXL5sYqSyMiFUs3\n",
       "kfDrLT6vzuL3G21Blc4cVhtsIa05KTRQK5eh5pqM8aOGHRpCn2S3wWIyJDfix0Qx2NygCgeaJcld\n",
       "rzZ4nFqN363Rh/waB0iYAVgBGGVVWK/WB7YWFn/w2YefXDxqREHC5199U4Zq19NGfepxl5z3lNYb\n",
       "evXlV15ZYDCa5eq6eiSlZ4uwxnLupmqtSpcxRiXCAaza9P6gZJ/riiSd2dd6XIrO4k3RWf5nLs9R\n",
       "RsdBuPEbuIMYhkR0lEACwGhTanF9meeyz//2clay1lQ3xZzc4/li40muOclprGy66rn7Hp6EkOKe\n",
       "kZS7qTdGqrPjmxAiREQ3APgSkSl+XhRC7CSi61peXySE2EVEXyAyTY8C4J9CiCMOlCGiXwD4C4Dv\n",
       "Wp56logWCCH+05mYeLLxfoaIzOdaHFMm5U7ucIqLQDgoBZSwZFLrQr197U31xYMVND02OyUpu8zj\n",
       "c62rb/pkVuqYx/e6qu2KENJQU1JtTwbyCCWMZUrtxbJRPz7o8R4sbfBn6Cace4o6IUPjq9rjFTu+\n",
       "+s94te61soayhXqJTM2CdqVYUt6u1YhpqkCoeIYlc1VjOKA5mKr+9x8e+WO+Rq3G1i1b/c8/+fS/\n",
       "T0LS33vxreiRsFDgCQVU3nBQ9iphyQVBLhFJLr0qTTCgNQX8WmPQb7QFZY0hLGuNikpnDmsMCeGu\n",
       "JJl+V61cv39loi1nUr3OmnbEn4eKzZ+kmMNVVylC+ML2sS/Ycie7e+VGW4R8bqre+W3StGzx4R/v\n",
       "uClHEQpWr9vke+K5fy/SKAmva0N+jQGARUCYJIIRktBKqrBepQ7r2g20aGtd/cFBTWF/WpYuYU9H\n",
       "I3v7gyJ3vbXK0Hy31WxIqG9wF46TUh8zqLR9kgyv9lSNbU6y3mWxJ2XUlhaqL7zkUvWMk2fTAw8/\n",
       "gULVqEP7BWr2BjP2Lb12tmPo5r6I63jxncepX+1trGss2bw71rEMNPGSXxCR2Fbe/V4Mo9KtfbFi\n",
       "zRYAp7ZWH4koGcC3QogxnTmeK5EDjEZWK+1HOPaWcfbswiJ3/ZUflFaPMKi0NbNSx+wDgPZ/wN1B\n",
       "n2qLUr4w2WbOdbo9brNb9+Bwi+OY5XGSZMyUHG/CjzchWxCyh+iDDe//skmS800ivOFcW9Z/SJIx\n",
       "zOK4td2h7yDS9Qi76iuzzrr0l2katRoAMHrMaK0lJXFsPK14LZN0qI9l+9cCSoi8/maN1+M0+OtL\n",
       "yANBHkB4APIACEiqUEitD4VVmpBPow+FtKag0BoUSaVVJJVWyGqdImn0SvPOzwryDe6nzxmebd92\n",
       "8KPGvXtVvzdMuuZ/+qpWbf44bViq/PZNd/5tsN/nxeMP3je3rkg+35YzscOmxZDPTUo4QOGAVwoH\n",
       "vZIIh0gJ+UkJ+SUlFJB03iaVOuSX1X6Pxt9cbzFJFLJI6nAagPINzodvvfHO660mg6qmsnbj6Uri\n",
       "6zq1JqzRGLq1+tIk+6CDAA5259h4IJQwqk3NTz5y/aXjzHodDlbVjP/Tyx/qTsKgB/ri2p4U2+8v\n",
       "uvWewUSETd99iby8IQAArVqCCAVAcmS0u+Kuaw6EQ/oD7lprrikp5v36AuGgtErUXS3rtHnkDaw6\n",
       "Se34KNYxMXYk8b90NghATZvtupbnOoWTSNYlOSZ7Y47JvvJo+2xRyu++65IzfpqZbJP8gSDueumj\n",
       "J0NKaH5Xm3NUkkr8PCnnpa4ck6w11e/fX+gGYAIAr8+HZperGej8oBp30Kcq8Thtg4y2+r6qCrXS\n",
       "SCqh0ahCVug7rBwGlBAFFUUK+NzaoLdRHxIKBYUgH1oWCW/5GtQ2PPbgBT8dRpKEc8YOSb7n3589\n",
       "1Pj9C/PDskoh+rGN0YKGO6/9zVODye+DjgjzL79i9LMPP3yVVLrlfQAgJSxJQpFIKBKBhAWRNhQt\n",
       "ADUE1CBoAWiEIA2RUEuy4gr4dMtDvr+oHIMznd6mYLCp9o3z7JlvAwnr4cfV8APD1Vn/c2/Hmwqf\n",
       "yzRmzKA0s14HABjkSJZTk21D+mKpm2p/syElc5ixdeqcQQVj8cG77wR/+3+3qa/55Xzcftcfwj5r\n",
       "vgg3VbkdGqcyaf78R2rLy7xLtm97b7bcO91kumu1pumR3y64e3be4MGqFd8vPeWtl144fY6c8dv2\n",
       "rSDfVReOcgNpw/WWdYMHWHM56z+k+E8ivwDwJRG9gUjyeCGAzzt7MCeRrNel2My5mck2CQC0GjUm\n",
       "5Gcn79tQbc83p0R9lYnB5uSGVes3v/3sX5+5MCd3kP67JUsrrFXeR2DpXBK50V08XmuTfj9ymMOy\n",
       "7WCFM+ikB8aZs7ZFOexO00gqoZEQNqo0R01uD1oVfUpLcgIAwxKtBlOFOixL8mGJ/HIBWIWAVok8\n",
       "bRWETIlwkqxWJCIhkxSSqWtzVHzjcd5pm3HlJFkXmVq5ccunv9xRW7xkhDUtjurBsWfXGr1lNQ2H\n",
       "+hmGFQVOV7O/sx94PnCWXO43JpyshAPhDJ/vuZMTMjZ29topWqNn64F9TiUUSpVUKuj0RuzYtmP7\n",
       "/Qtu82u0Gik56PpGFH6/y59iu/a6hY9O0+r1AGD9/M1XfrFz2dqPC6ypNce6RjQ4g17N0LGjRuYN\n",
       "HqwCgGkzZ6m3rlo+5YfNW2+fZhj8WOt+bzaULlSNmHWm2uowrty1rKTGWb5gakL6nljEzI5v8VyJ\n",
       "bFny8BlEBtVMa3l6kRDig86eg5NI1usa3B5PIBSGRhWpDBRV1XocOktTX11/qrC/WrR824dLF6+y\n",
       "DjOnlJssjk73D5XMYsH4/OzcBl8IJwzPS1yxde8dAC6LYrhRUVHbWFbnbh6SaDKi2R/AwaqGysnq\n",
       "nP9JPNNd9M9/PvnniVfdeNuggN+HN//53K6RsP73aH0Rj0XRGJJbE0gA0CTl2qpLt6dyEnk4nawO\n",
       "11U1vfDn1z7+dUFehnnllj01cqP4c6SGfnSfOEvOkceccnXqkAlmIQQql7394I66iqs6+x6TJCO5\n",
       "zn3X63+6574QKN3janIND0gLR6l0lXAB0KUDOmCFOSC3JJAAgLRBueZ13yxJxOHNX31GQ1LY6fEc\n",
       "9kFII0HKdFgnoWWCoG3O8lQpY8QpprxJRgDQnnhR1r5vF904Fbix7yNmLO59JoQYhW5OB8hJJAMA\n",
       "rG8sz9mrUd0qqbUabbNr+Txr5mvdPZfJrXlw4UsfPX7CsEEp+8qqm2srm/+Ra0jq0zVic0z2xhzY\n",
       "u9R/SyhhBDXqrMmzT8OQnGxs31uI73YVZaMfjvnNCycuvP+VT+9NSjCl1zU116d4zQ/A/L/7jTA7\n",
       "qvbsr772yYULLhZhxT88pH/dYUjoVh/FVpqAZ4e/vmSS1p6lEULAW7y5fLApudtTPw1kk3VZn5Ye\n",
       "aPju6x0bEgebkyvtpkT/sY8C3Cr1tLQhE8xAZN1RS8G09P1LXps0Aviss9dOU+mr9/gD6mFnzk8h\n",
       "lZyy+9PX/2pprv9VttF+6AOfv75hw76tG8cNGT1eFw4EsOH7xWUFFkdRl2+0lxhU2nDpnn2ff/rh\n",
       "B1eNHj9eWrN0MSY4jPjqYPDQhx5POKCX9Gb1oYMkCZJa0+2/dV/UFc10k1TgIGnFDFtm3LRKsP5B\n",
       "6nz3wj4nhBBEtJ6IJgsh1nTnHJxEMpR6Gkx7LdbHs868OpdkGU17Noz8eP3XvnMsme9253wFlrSK\n",
       "QDA4f8uq0qRUvbUxx9C5P4zxwJGaJg/JyQYAjMwfjGSHQ0Z5ZK3f5XX7TxAE4whj6urWVXbiVYrO\n",
       "4k2B5S54gCEqoKMEstVQU3LNUOBpyACOvHJgp/0sIe25d9d/aPKY7KOE3xMaFA48lZWQwcu9HUGm\n",
       "webONNi6NCJeDgaqg64GoTbbCAACtaVumzjyIKO9rurEYp8z367Sl7WuRrPK33D+8POuH2lMikyh\n",
       "P/L8a/PX/+uxq7Jhf6r1uNly0gtfv/qiakVK8gSP2+1LqvP8OcmS6jvCZfrEdEr++2dvvGbet/Kb\n",
       "n84cPsiwp6S6xlnnexMtc6aPScgo3rV/baE+Y+Q4WWeEu3Bto8Hn/gYG+9FP3IG3G0pvV408ZZ4u\n",
       "Jc9YcWD9zz8u3vLMObYsHsjDOi2em7NbTAUwn4gOAmgdUCl4dPZxSihhLHfuO1+RwsO10C6dmjB4\n",
       "xbGO2eGqGWmfcskgkiPNz5ahE4wlW5dNA9CtJBKIjBLvb82XJMkIBAKVAHJan/P7g+UhhWhNsPjJ\n",
       "K342dUqCyaB99atVez3OwHW55qQ+GALR/6gklbjInvVnAIDGeIy9WXecbkp+5tNvX87X54wZHPY1\n",
       "B0VF4Tczk/O2d7TvOn/1lJSJQ3//67lnZGzbvLl+5Xcr/nUiEv8FkjSS/OOnBkmlhiDpsI8RJMk4\n",
       "RXL8Aw0AYEFn+xZH2+nWYY+u3lv0wWv7q0eYFN3GKfbcQwm0TlaHz9CYbli89IWbhay2WcKhJWfb\n",
       "sw8bKBBSQnSsgX7uoE8VsmXMsuaMMwKAZeRse21t8fmITObMWKf0g4E1Z7R8bbtiTadxEjnALHPt\n",
       "vv/yaSNOH+5I1C3ec3DOkh27X5iWMOyNox2ToNJUV9aXNZmyhyUAQNjnAYKBJuiOdtTAVFdW98ZL\n",
       "73x03ZTxoxO/X7OhurHC+eoPTc1Trzz/xKknFuRpAOD+y36Sv+Af79+ci6SoT8XSX1R6G427mqry\n",
       "krSmmvbrH7PeZ5U1gayg65PA7iWT1NCsPDl5+FdH2leVZv/1LQt+l0EEjB0z1l5RVnaBZ1ft66NJ\n",
       "//7Gz147a9T51+ZJkoydH71UPCyserUv76MnpiTm7AHQ4WAZh97iuVhveaT982vDNXOtg1KvSbDa\n",
       "tYV79xUNc2lut2tNh1pKKr2NRoNKG7CodcEQhETS4YPKqGUNu2XO0tEVUE7XCXHwLGvGezyROOuv\n",
       "hBBFRDQRwHREJidfIYTY0NnjOYkcQOoDHu0wh+2E0enJOgA4oyA3YVNpzVwAR00iJyfmHHh31/pP\n",
       "qryeMzWWRG3jztUHZ0j6x452zEA1WZ327vov16357ptVw61hzY7J9szS7+Q9Z9hMhkMVGoNWC1mW\n",
       "erygZEgJ0SpquFZvMRd4XO7ysUHTkxa1rk/7jvaGTQ3FuWGl6S+np9ozDno8rmVV296e4RgV02lg\n",
       "Brplzl13/mxU9jkjk2265cWVs5YW7kybkVjQYQJoNJlUbZvUEhITVe5QmSbXnOQMNVZft/XlR68B\n",
       "kTw0rHp5pDW1qq/uIdrq/W7tZnf5VBLwT7Xlri3zOC05JxXccOv/3ZwOANW11en3LbzvdyeFTQ86\n",
       "g17NDqp+YsKY3LyGJk94R0nxR1M12S+gtniDr/pAojZpkLZ5/4Ymnavumy+khjnevNF3pI6fneSv\n",
       "qwj8Z9l7Uy4ypi7oyUILbOCK90IkEd0L4OcA3kck3JeJ6F0hxIOdOZ6TyAFEIhKhduumK4o44tJj\n",
       "bV1gTn9y54Hdr7lCPtNsa1pxX8+PCACrGsqGFAUDZ2mgVJ2VmP2uTlbHZEjLRHt2MYDi1u3B2uQV\n",
       "r3y1qvD+y34yWKtW44XPl9do/PK7UB/lJJ2wUuW86ze33nbOsOHDNVWVlcqf7n8gY3pId3MPw+9z\n",
       "rqBzwS3D8vIkScI4e4L2zQOl55d6Gt7uaj8/1jm+cFDOSjBMm5CWpAOAOXkZ1i1VDWcA6DCJrCwu\n",
       "3bh165bBo0eP0VXX1IhtGzcemK6zeQEg35xSlw/8zwK9/V2pp8FUoWtadNPFs4d7g8Hwq1+uXB/0\n",
       "hJ+7fOKEQx0jU5JSyJKQkIY6YLtSefMD1190oiMx0sf09S+WXbx68fZvLrZn3fvhug+3NwDD7SR9\n",
       "P9c+aMnbAeeizClnJQGAIS1PY8gbO37Hvq2Okda0AZOAs94jxX+nyPkAxgghfABARI8A2AyAk8jj\n",
       "TYJaH9hSVbR8VVH52QWORP3iPcUNTc3hD2Ht3PEtc7/FZOqOxfUlE0pMjod0Q2ak+r2Nobd3fDHt\n",
       "0sTMm/uymaje79YWuutSsw22mrYDZzINNre7LnD9rc+9d5NKljSyj96dZBq0rqfXSx+UPXrY8OEa\n",
       "AHCkpkr5IwsGu9cVqaKxZGU0GWVZI7Vp9kvRqbUHPV4TJ5HRIQFC4PD1aoU4/NNj2z5/0xXbEy89\n",
       "9bRTZzGP9rqbK0b4DX/tjQFU8Wy/qPv1ny4/r8Bm0gOAyqBVT3r89W+HrljxQ83M6dOziAjFJcXh\n",
       "pnrnfiAJer02rTWBBIAx+dm2b5dsGkSSXHSefdDbsbsT1t/Ffw6JMgB6AK0D5nQASjt7MCeRA8wM\n",
       "89BHPly7f817tK/AAN2yk2z53VrvVihhfOCu+E3YYpsU9nsDub7Ak1Os0Zust5TkK/QFp6cSCJLa\n",
       "oApljR+/tnT9kBOT8vZG65ptbWwuG2tKN913+pzJ9s17ipzrikufnKTLbF2QHsMtjhoA9wBAZ+bx\n",
       "64xmd3NQiB9/yTQ5ncEUWd2vEkgAaAoqG3c3ukYMs5p13mAQGxoaS09MGtmvBlX1JxpZrZTWe5ev\n",
       "Lq05Z2RygmF5cbWzwRP6HDpge3NVlj8j4eHMzAx7WVm5U13mvGeUIeXANKS8FJlHUd8rI/DjnSyT\n",
       "0WL4cZ15m8kgazUqTc32/X+86867bzBbLNrS4uK944LmJ6ECfJ7AxvW7CqdOHD5YByHw5cpN5Wlq\n",
       "y46Ozp3gcb1dverT3MTxpyT56soDnv2bNowwcxWS9VtNALYTUWu/6tMArCGiZxAZpX3T0Q4mIWLT\n",
       "HzheFkjvb4jIfK7FMWVS7uSorv7yYVPZFcbp864zZxfohAij+PMXi6a5fZdHq7r0r4byp3WTLplO\n",
       "LT1IfOVbPIOL1151UnJen6wysVVX+68//98Vo1ozuruf+VfhcLf959G85tpA9fT0cSPuPHnOKWmb\n",
       "16+v3bpi9UtTKanfVT2EEsZ31Tuu1skY51OUpjxT1qNt5xpkx1bS3GAu9Tak5hoTy1P11g7XLW9v\n",
       "ed2e00IiOFInaX+Yah+yBgA2WLwv/fnxx8ep1DLCYQULbr9924QG7eXRjT7+bHaVDksfkvDkTfNm\n",
       "p4YUBQ+9/lmRVE3X5JtT6jvaXyhh/BAsuSk11T7J4/GF/PX+RZOMWauPdP5ljWWjKkT4dJ2iHDwr\n",
       "IfP97rSYfOdx6ld7G+saSzbv7uqx7OjiJb8gIlFS1/3ZzbISzYj2fRDRlW02BSL9Ig99FUIcdbAd\n",
       "VyLZYZqCPvXG+pJhzQb9TEf2cB0AEMmwjTgpc/c3bw3JNNg2ReO66UrotbJd3+br8mc4FI8zrBSv\n",
       "3zI5MbtPqpAAkGAx6Nu2O9gTLLpQ07GnAemJEzQpy3ev2n7loqU/DElWG4qn2jLLo3WtaCJJxqzU\n",
       "0TyQppu+cJbObrCl3aIfNsF+oHhHTZqz7OHZCRmHukssriuZUAK6BpJMSWH/uz9JyvkWAKYnDv0a\n",
       "wNdtz+VIS01QqSMDPGRZQlpamhUNHeZNA9pYc+buDfuK7/i/v71zqSKEYvHpnx1pSTviG0GSjGna\n",
       "nKcPTWV0jJmpZlgztgHgicfZMVGct2cLIV7pyfGcRPYz7wKTdvs9gzLqDsouncXt0pu9Si8lOpXe\n",
       "RuOnTbV/p9TRQ0XQJxV9+RpyzpgPAsFbdbBxkNYYtf6SpyZmr/mhoezmojWvzdMQKubZMt7sy/6Q\n",
       "pYWrCWgAACAASURBVBV1+6vqnHmOxARyutzYX1pZmiJlRv36wyyO2mEWR220r9NZ7qBP9X1T+WyF\n",
       "SDtJb1/S2aoY6746o+X6tJkXZQKAOW/SoPKvFt2MlqU21zvLsw8aEx/SD52TSkSoPbByyOK64oZT\n",
       "ErM6nIKjvLS81ufz5eh0Orhdzdi2ZWtgZ03TlJNShqyL1UC1WJlgzt4K4E4AR2zC94T88rr/Z++8\n",
       "w+OozrZ/nym7s71L2lWXrObeO9immk4ghZBAyksCgZAXkgAJ4SUQEhISCPlCCAmBNEpICAFD6Dau\n",
       "uGDcbdmybHVp1bb3nZlzvj9UMEa2ZVmyJLO/69K1GumcM89IW+55zlNSnRcSUTB7UsLbpSZX4PRZ\n",
       "mOHTwDioE3lKZETkOGIbIVwhsKooFSFo2Q0AYD1u5xgjJMLARSkhEUq4AOV4v8rxPoUX/Gle40uJ\n",
       "ki+mNfq7Ta7uqM48YMeJd0Md3+bLL5jCiT3VaxK+etr87rNRXhTjvLfxP9Ntea1Hjt/qr58WR2Kh\n",
       "AKF6kb187UBrngwLbbkHFwK/OtV1hkKF6rj3/ieej9st5rxAONJdkDT9DPqTW6Mh6re0J0OucpOr\n",
       "+cjac6fCJl/tWZyQ/pxKGZOY4Q8z7cX7h2PdgYjKSeHVdPCJnAu/PIMTRW71uv/ULIr5b8xsTY8c\n",
       "ClUIrzP3V2QlBOAkU//x4XTiAqniwpw+b4a2cK6jrfvQZQAGFJH2jsQP7/r+nT9zupzOgxs2Z53F\n",
       "tMUqyGOrG3ftOCt/8i3jLWnrSLZE6i6FBmenZaV7kuj5f4N5jcWVFP+Br3EiTzhlgbPowJE3pklV\n",
       "5rfr44/fdMddsyxWK//UH574fHWN91sTzWdOmaMMGUaajIgcX0gU+FAFyRYAHQEzkZ5MKiNhzAio\n",
       "4PveIo/lc/ACFCRAOc6rEt6r8oJX5kVvStB6PxB1+Y2EQ6J3KCeZOdRtf2qB1fOKx+T5WCzkBn/N\n",
       "1XOKHDefXVJhq+7wx96o3v/KWbaqR0bqwkcau0afWoCC+xEFwFlxsgJyvdJ5pX1a5Q2TyyvNezZv\n",
       "6NS2dNw905B9SvGcH/rrppU5tf/3ucoyJwPwp521pftCbd+cZPGMyLb36kj7Je6Lrp9hdBdxAFB4\n",
       "6TcrNv/rNzcVwP7LkTjf6WRDx6HJ0VR8Qo7R/uF0e96gMw+HwmC6ofQhcAJT/W2NSjySK+hNSEd8\n",
       "lIU6DsOSBwCQgJZwzJfiJJMWAGgiSEXGjvn/LzU6faVR3PTWvk23fEY0/49Z4AGA0xN+5nvtB688\n",
       "P3/qkLtQjSYbI4euvXxh5Y3nTS01dYfjuP/F98rm0eJvHu/v7E9FtTv9tb8/3+WcmKKMrWvfs3Vx\n",
       "9uTbNbxIAWBTsGneDd++Y+bkKVN4APjRj+8ruuPWW2+FjHtO13VlOPMZ47vZIIR8jjH24ol+diwy\n",
       "InIcMYuxOCHk3CvNWf2JNRo5KVgSIYMhFTVq5aRBK6fMGiVtE9W0Q6CKnaeqg6OqnWPUwTHmIIy6\n",
       "ODAbR1WbAHUi1HT/+vcCwLr/h4DGAK/Ohi45EZ1A03ohFZsR0lsbW+z5beleT4bVwH/miknFNgBY\n",
       "VOQ27PX6liVV+Tefhi2zuJLid4rhH+V4siYEg6EE8UZ/qa8o/tpnv3GLBwBmLl5mfOqnP/o+Evjm\n",
       "qZwnSmNXXl0xxUnQk250VXmB57Fth84HPCPSVUTliF7QSv21enhRC3CnXlR9tHmjYecteSr3uVKI\n",
       "5sOBzo7VicgvluVWnbLn/GjCclLcKSUeyq8onRANh1PRZu9fFgiuN04073yN8Y73Vj11F9Ua3Yj5\n",
       "NR6SbN0XavNMsnjaLnYWvv1c3YZlNO6bA07kqHdP9WfteX850ZqMUbP+iH00I+F5yqj1FC9x1LBa\n",
       "paXnTS01AYDTrMeyycUlH27tyJlqy/Uea8523+FvfKOwYLpDIxIAsInC/Fc7apcvy5nY8z/hOa0k\n",
       "Sf0VwkVBBMdxmc/EDMPKIMo0jzZ3AzhaMA70swHJvGDGOWlRUrpEKdSF7NBgxnNUITlBr9MW87t1\n",
       "6bhbo6Tcoqq4eaq4eap6wGiBLR0TbOkY0FPM5iYkI8gOt6Os/YBCCV+n8MIhi9XsQFMbYLcCBh04\n",
       "joMiqwT8KVbgPo2cjMfoSHaJoTt/eNdtlxUW5PGqQvGDHz/wkNGV1V9PhOc56M1mCYlT2zmkDN3+\n",
       "RIq59BIBgI54Ig3KjdhW2zTB8MYHa176bOFl3ygmHI/mlc97iymeGanznQ7CclLUK/Sict5kBoDZ\n",
       "0GSvTga+BmDYReROMXr7t39039nZ2W4OAP725OPfPrB+x9be8lDHJEsyJy4XtA/sSDY8ccvyGVOs\n",
       "emna0xt2X7Cru/n2adb8Q9c7C+/a6TuUr6gqP8OR3ziY52y20f6vt6OBxRdJNjcDsDIdbC6wuV8d\n",
       "pks97STTCqWM9RduDkQTskHQDBiW0wcBc1hEvl9JOzQaEUx19R1PkZyb/vb00wfuuf/+KoPRhN8/\n",
       "9tt2KZh6BuP+tinDWGKsJtYQQi4CcDGAXELIb/FRcx0TgEF3TsuIyE8ZlBNYmz2/q82e3wVg99G/\n",
       "F1SZ8/hbsm0xX6E+HS/SKOkCgSpFPFULOUbdPFPLeUUtX9DdBbyxBgCgigIuAae1Ev62hKiv9hsd\n",
       "+xtdJY1K77bRWKMlHjCuo6mHBXtOrhIPxbPjsUfPNXs2D3a+3eUoLSzI4wGAFzgsmj/P/sJ/32lf\n",
       "evlns/RGI9oaG5SQ11sDznWipY7LdEvpU49vPzjtgqKcyUlKlTWNHR8udk58+5QWPQ7FRmcoGem8\n",
       "ac8Lj9zMCBGLVPa3OZbcupE632AYqtDvI6mmBQ0hH3MGiOBGxDmgM5vz+gQkAEydOdv1z7dX555I\n",
       "RCpUIVv8DbOuW1o5vchp5QDgtnNn5/7wpbXfAHAX4XjMsOU3n4wtM51Fh7cy+v3nYr6vAmAuc9YT\n",
       "VRb3+K3dGed+//BrG3KvmFOVe6jdH91V175qoansuEkwKuHCL3vb5c963CIF8Fp7R2u2ztHfY9wp\n",
       "mZLJ9sCNd992+80cL+hMMeWFGbrsTLmdDMPKGE6saQOwDcAVvY99loYB3D7YRTIiMsPHUHiRNrmK\n",
       "vU2uYi+Ajwkrczyoy/M3lZoS4TKtnCxLUWWOjir5kqxoPIADwLX6dAKOmA8TOg4mFE7YLwua/QmN\n",
       "rtpndFY3uEqahiuT/FRYT5P/517+zbm81FM1vO3dP9/pT8e/aNfoB5UMEwqFw4l4Ajp9j8uiprY2\n",
       "WhCh3/3zg/fepjeZbXG//+AiWH9zqnbaNfrUXGvlt1bVNU3gCacusU86NNL9eatMWV1VwP0jepJB\n",
       "sMvXVNgd7vqZnfBWP1MDTkvWPdPs+Y0nu06WZE5sglITorLTwolCM03EUzz3/lBsispJ4eVQ+31U\n",
       "Zy9h6Vi6BPThs225/WVe4qFQXXNj/fz8wmIBAD7c+H5HgcHWdKz1/utvvtAnmW4gokGilAUI+ajN\n",
       "LiHAkcdDYY6rZD9cuOtU1hgrzDQV7D7Q2vH13zRumiWofPMiV9m+443f7KtdeF5p9mV5Jkl8rcWH\n",
       "tkgsFZK5J851eD62/Z2nt0XzgF+CAqfqgdwebauMS2QJl1YPLpDcqzO9tDOMZRhjuwDsIoQ8xxgb\n",
       "tOfxaDIichzis0o3t+SqUxKplOpvC7wwT5O74nScN6y3Jqr11o/VRyOMwhNocbnCHeWGVKxSK6eq\n",
       "BCpP5BjLEakyU0wrM/XpOBxRHya0HwwrvLAnLWh3RyTTniZn8d6A0XHaW+MRncnVJyABQHKXWJv2\n",
       "b3XaNfrW40zrx9GtPHDXvT9zzJg2ObuppTXZVd/25Fyrp30yxQ8QAsCfmgfySCReVBe5Sj913pHu\n",
       "cNdPrjM4J3KEgDLmeSbU+RPY878ylLXOL5z6/fdaqm9iaiRfq5G2XJI//eWhrPNqqP0OccoVy3m9\n",
       "nWOgqNv58v0Tk5EvOSVTEgDmUetjf/zVQw53UWFlNBJJy96uP847RnHr+ki31W9232qedoUHAOSY\n",
       "P/evm/7qd1uMNptOIk9u2OmVZF2m9uYRVJqzuyqR/dZgxiZo8pylheVWkSOoctoQSsrahzfvLx4p\n",
       "2z6Q2y+evXzR7ZdefKGj+kBN4vln/vXGQub62UidL8P4Yew6IvuZRwj5MYAifKQJGWOsZDCTMyJy\n",
       "nFFRVHDz16/5zEUXLF0sAcCf//nat1e8u9ml0RloocK/frrLUzDCodVe0NVqL+gC0O/hyQ622dzB\n",
       "1omGZKxKq6SqBCpP5hhzaVR5kUaVFxlTUeSEvIwSrl4WNLsTGv2uLlPWjvqs0iZGRjYUmcXDbXI8\n",
       "OF3UW8EYQ6Kl1l9idA56q6/U5AqwqPqVxnd3WrIlQ7RYyD7jk4lON1bCm/vi3zhCYCW8eahr6QWt\n",
       "emnRjMdP1SZFYyjS6e0cABBw4F0TXIdbtnmckqkOANoTEaMc7X4l7k+0z7TltULMOuZaLYmgWyiY\n",
       "Ze87Fg12tDDboYff2PohCKw2mF6cYS04ac/r8SCMwpQI6yzxoEWrpHSiktaLqqznqaLjqarjqarn\n",
       "GNVzjGrAmEAAgTDGEzABAE9YzyMAygAKQlQAjAEqQCgIVAYiU8IlKeFSlOt75JMqxycUTkimBU0s\n",
       "odFHIpI5GtZb4iP1WucIf+BwIJyqdFi0AHAwEEryRByxmzFTrvNzX7nuiw4AOGvRAt3OXbsXdW9p\n",
       "kPpuMDJ8ehnD29l9PA3gNvSUDTvpz7KMiBxnmM2GuVOqJvTXkVsyf6ZjX0p/U8m8ZdwHrzx3ZaKh\n",
       "9bZZZveoxrEBQIfVE+iwet5Hr7AkjCLX35ydE/RO1adjUzRKeipPlSqe0RJeTpZIcvJKW8yPCe01\n",
       "fpkXdyQ1up1BvW3H4eyyg+lhrm13vmj66btvP63nrFn5aiycKEglf2W2eE7KnU84HkVG+6CSmTKc\n",
       "PEGm+GRGC0XCQWYUQaaMaJvPwUDScT+V4+DEnvpPaqA5lKu3dgLAukDr1Aa99SfStMvzOgLNgUPt\n",
       "Nc9+1p5/zCz6IoOjpa79QJfknpRPCIES7VJFJVl3tqPyKaCnhuFa2XsDRLFQm1JWzdfmrBloHVFJ\n",
       "865wh90SD7p0csKlUVIuQZVdPFVtHKM2jlILx5iFMGolYFYCjJnMNwZQBhJlhEQYIVEGEqIcF6SE\n",
       "D6gcH1B4ISDzYiAtaAMJURcIGWy+bpMrNBjhuche/tJzew9ML3caZ6qU4bA/9v4Se9XKkboWnhM+\n",
       "JhVEQUOSjGb2szOM2cSaIwgyxt4c6uRM7+xxRmVp4X0/+eoXf7h47hwNADz72irWmTubuPJLoKoK\n",
       "Xn/kxysv5hx3jradg0GXiovFXYcqLfHgVElOTBcVeQYHZj9yDAOSCifsTonS9pDeuq0ua8LemGQa\n",
       "lkLeYxFGVXiTEaNbMkU/zTFVNeEOV7Ov5acWjrOHKPXnO/LuqThBgspI0xIPGFfGI48QszuXpSIp\n",
       "hxx98jJ7wdsA8PdI558si74+q+8DI7TtpbZLqHL18eJsV/pb5rUK0reJRqflYr5DV1my/08vaFVG\n",
       "VawXQ4/ecuddi3Kzs4VNLzwbDqxY8faiULhOVNMeXlU8PFPdHKUuAuYgJ1FFhAFJRkiYgcQYIQkG\n",
       "EmeExBnhEoyQOCUkwcCler2KCiNEZSDKkceEgQMYB4AjjHEA4wnAoddryTEmkZ4vLQHtfWQ6wiAR\n",
       "Ro0EzEQYM5IhRCEyQGaE66aE66KE61Y5vlvhhG5FELuSgrYjKpk6uk1ZHSGDLQ4AncmwTiAcHa7i\n",
       "/8dik9p+zfIrL/rmJcvPtx44eCj12GN/WLOIZv3weHMyvbNHjrGiLwghLBiND3m+1ag/Hb2zf4Ge\n",
       "HYb/AOh/nTDGBmxo8In5IyUiCSHLAfym17inGGMPHfX7MfFPHm8QQsxnFRW/NH3a1IpoPCFGzW7X\n",
       "rCu/ygMAYwyvPXLv6oth+95o2zkUCKMo6jyc74p0ztCn49NFJT2DZ7TwyDEMkBVO2JsWtdvCknl7\n",
       "fdaEXWG9NXGsNccTOyJNMwQjvbsoy2o46PUHpbh01ySz56SycjOMPGE5KZp4UT5S5D+bjPzVPO/a\n",
       "qX3Hkf2ruhb6mz5fbHSe0FttSEa0nkBLvjkRKpTkZCFV0uWq3XaOXZEF+E/sgKUgfspxXZRwnSrH\n",
       "d6mc0KXwgl/hxGBaEEMpUQrGtMZgwGAPjaUbMI2cFKzxoFGfihklOWHSKj01bgVVtglUsXFUtfGU\n",
       "2gijPV5VRp2kp+zYCWFAlBKuQ+X4DsrxnQontKcFjTcp6tojOnN7hyWnI641pk+8Uu96VMUGufMz\n",
       "VMNPFdN0y0JtzidiMz9Ies9Ka8gyotDaeULWCyeqKpARkSPHWNEXhBAWjg1dRJoNnxSRg9BWSwGs\n",
       "ANC3I/kSY+ynx7FxDXo6330Mxtiywdg4ItvZhBAewO8AnAegFcBWQsirjLERa9n2KYI5/PGHsupk\n",
       "n05l4v7OQ0+W+7um6c1WbHzpmQ5rNPF3GG2jbeOQYIRDfXZZc312WTOAVwEgJ9hqz/U3zzCkojM1\n",
       "SnomT9VykSozxJQyw5CKISfkVVWOr04J2m0RnXlbg6t0Z9BgH3f9nhlVwRnUH95/9bJSQghkVc35\n",
       "0b9W/xjADaNtW4aPYxalT4Q+CDH/9lR3fbnWWSypyQiU9oONRVb3xwSkPdJtdAdbS43JSKlWSZaK\n",
       "qlLEU7WIMJpDjo6/72zvXVgAcjxoCYcjjkTyXYUXW1OCti2h0XvDOktnlzm7O6nRjctWhmlRUjot\n",
       "OUEAwcHOMSbCkjPS5TSmIk6tnHRqlLRTUBUXTxUXT9VsjtFsjtEsAhh5Ro28Skuh9v67+uRzsBUV\n",
       "3v2gID7Kce0qx7ernOCVebEtJUremNbg7TZlef1GR6Rv63w957/rS7fefMXUGTOlze9vOPeVvz8z\n",
       "4Swu63dH2jZXcq8HsP5YfbozfDoZTiV7EtpqLWPs8sGsyRhbeio2jVRM5FwAhxhjDQBACHkBPbWI\n",
       "MiJymCAcDzPHy/OT8rfe+90vbmAcZ81WyItzjJ4z6q623Zrrb7fmrgKwCgAckS5TQXf9DFMyMpNT\n",
       "UvM0VC0XqDpFSMenGNLxr2aH2qnK8QfSgnZbRDJta3SWbPebnKc9A/xkiamy4HGa9H3boSLPw2nS\n",
       "GTFm/EYZBiKtyty+UIdnjkb/zPbdb0TDgjTNkI4FfpQIvprra7hSq6RKRVUu5alSyjE2YNo+AxSV\n",
       "cK0qxzcqvNiYErSNb2a5zq685tq5ebPnSm+9/t+O+o1bH5wn5aw/3dc31ojqzMmoztwC4JitKwmj\n",
       "cES6zfZod7Y+HcuS5FSOqKZzeFXJ4anq5hnNIYxmcWAOjqoOgaqTgF6nZKJH9xd31YEBMUq4dpXj\n",
       "vUX5+dMmVe+W4OvCArfHuC/HtUzwyr8fq7VwM4wduOGNiRysthr0SQkhOQB+BiCXMbacEDIRwALG\n",
       "2KCqQ4zIdjYh5LMALmSMfaP3+MsA5jHGbj1izJhwN4835nzzuVGvsziW0KYTKO2oRbl3P8q8B1DU\n",
       "VQeefZRgRkHQ4ihArbsStTmVqHVXIiaZRtHiDGcMjMEW8yHP19Tz5W9Crr8JWaEOcJ/cHUKa18Br\n",
       "88BrzUObPQ9eqwcdFje6zS7QTLe90wqhFJZ4APaYD/ZINxzRbtijvp7HSDfs0W5IyvHv4BSOR8Bg\n",
       "R8DggN/oQMB4xPcGBwJGB+Ia/QmbJ2998kuZz8FhZqzoC0IIi8WHHm1l0Os+tp09SG21BD3xjS3o\n",
       "8VZ+nzFWfRwb3wLwFwA/YoxNJYSIAHYwxiYPxsaReucalNAhhNx3xOEaxtiaEbEmwxlLSqNDdf5U\n",
       "VOf3hKNp5CRKO2pR5j2AMu9+FHcdRoGvEQW+Rpy7t6fZS6st72OiMqwfty2FM5wmOKogJ+hFfncD\n",
       "8n2NyPc1Is/XCEP6k/FOKuHQas1Fqz0frfZ8eG25aLPlwWd0gY1Ms5wMJwnjOASNDgSNDtRllw8w\n",
       "gMGQisJ+hLi09YnMqA/2aDfMiTBckS64IsfO90oKWgQNNgT19p7Ho773GYevpuynmd44wKWjbMaA\n",
       "nIwjct26dVi3bt3xhgxGW20HkM8Yi/e2NnwFwABP8n6cjLF/EkJ+AACMMZkQMugQmZHyRM4HcB9j\n",
       "bHnv8Q8B0CMDQMfKncJ4gxBiutKcPW928dxRL3kymrxOwr9d9q0fLe47btyzJdn10nM3nJ1V9rE7\n",
       "LmMiLJV0HppiToRmauXkLIEqUwigPXKMSrhmmddsT2j1OztNWdsbskqbh7N+3fp0x2WqpFmkpFJt\n",
       "82H9vfGokkVxJcWnKvQrbrv+ak/fzx544tmDBe2aa4bNiAyDxpQISQXdDeWmRLhSUpKVgiqX81Sd\n",
       "QPDJaDdqsUItLYdcNAHrGuuZv67hF7nZE19JaPVD7gAxWjRE/Rb9NPezd956Qy4A+PwB3P3Ar1cs\n",
       "YDmn3MGoOnHw77fOruz3bPxrf0NHImr6XJ7eNuZDTfrYHGudn9YK06SU+sFcg2eHIRnRZofasw2J\n",
       "UM5Gxr4u8ZpiRzrGVyQjbVaqGDhGswmgP96aNZKu+UvJRBljLBO4MoyMFX1BCGGJ+NATa3R6/dGe\n",
       "yBNqqwFsqAcwizE2YOOD3sSaqwGsZIzN6D3HQ4yxJYOxcaQ8kR8CKCOEFKGnP+MXAHxxhM6V4VOI\n",
       "Lhpbsfe9FZMmnXO5LRUN4+DaN2vPteUfPHpcVGdO7i6cuRXAVqCnrFBpx8HJlkRwpiQnZwmqPI1n\n",
       "NJ9XkvmSkrzCFvOjrL3GJwvizqSo2xHU23bVZ02oGWrywhql8ytLvvCF/5mzeImxs91L//rwzycs\n",
       "U8XvHJnZq+MEtTUQ+qi0Ahi6AmHdhs7gt/N5zXtnOQqOuRWR4dRwhTssnkBLhSEZrdQqqUpBlSs5\n",
       "Rgs/keiCnpsNhRcOpgXtgfV6o8Fxy+1fLltyjgBC4G1pxnu/ezRUYi95x34aBeT7XXUVsgYFbmLY\n",
       "UWHO7j6VtVoTgZwvTDu3v8SWw26DxWrOwXE7VA+OqKzIlH1UeNmXSMkeMWtcFeKeb8jdDGBz36dm\n",
       "TDKl6iRT0z+7Gy/BtMuna6x5GsYYIjteii2RE9cXG6whayxgdES7XYZUNGs9h5tcUxdP07ccQIWG\n",
       "waKk4Z4xM39O/eFXCSHL2WjV28swsrBhDZs9obYihGQD6GSMMULIXPQ4CwcUkL18D8BrAEoIIRsB\n",
       "uAB8drAGjYiIZIwphJBvA3gbPWnoT2cyszMMJ+cY3KvWfrgluWrPh5dCVgLzifF3Rt2Ji5IntHp5\n",
       "b8H0HQB2AHhaVNL8hI6DFdaYf7qUTswQVXkGB+bQKulztUr6XEsihAJfQ0rlhP1pQbM7pjXs8Vpz\n",
       "d7fZ8wdVs9DkzloyZ/ESIwBk5bi5qjlzKxpWbbEWm5z9GamE4xHwBp965K8v3jKjqsy+cssO5UA6\n",
       "K4tNPOvrh7x7Lw921T9ymav47aH+rTL0JFsUdtfnOiLdFbp0vEKjpMoFqlRwjOUcPZYBikL4OoUX\n",
       "D6RE7YGIZK5ptefXHtmik1KFvPTqy3kzQ6HFGkkrbFz5dtQSTN5cZPKctgL0m9F++0VfvvjKygkl\n",
       "ppffWNm6fV/DPTP1nl1DXa/Y4Gjd+MGOznPPWlBICEGLt52G/KEGkOM60wYFr+oe/d22/Q8szMty\n",
       "H/RFgt0x9fly+/A2ERgt0qKuymjN0wA9haU1nimeun2vFxUZ7bsCRke093lT/1a45bz8+ZdOM9ZZ\n",
       "cN6d34E/HofRbMDyl/89ZesHHzgBjGod1Axjn2NpK0LIjb2//yN6BOC3erek4wCOu6PFGNvWG0dZ\n",
       "jp6b55qT6aU9YtHcvRXQh1wFPcP4g1EVq1r3fNfBkYWUMRYG//pSz8S/rvA3fyYOTLZz3Lrl9oK1\n",
       "w3W+JUZ3T0ecU+jBIQsadX/u5GoA1QCe76tVmRXpnKlLxWeIanoqz2iRQJXpQlqZrk/H4Yp0YXLL\n",
       "Lq/Mi3tSgrQvKpn2NzsKDwzUBzydTDHGWH/XglgkrBoF8RMv0LnavDfrd3dt+uvG/SWNltwHpQkz\n",
       "sggAbeFcZ3ek8wvoedPIMAhMiZCU72ucYEqEy7RyskxU5XKBKuUD1RhkQELlhIMyLx5IilJNSG89\n",
       "0OgsOXyi7WiBE9gyartz+8v/LVAZ5Zfa8hoEk/20eZKaYn7zlEUTL/jMJeebAKCirCT3e/c8eDOi\n",
       "uHGoa3r01uj2Q96f3fGTX33HajJLzc1th6cotkeGo8fNLFvx3uZY4PpXqrtKsiWTd6G9ctBtRsc6\n",
       "nJLsVJIRCL0Je+nuw2mn1viJ65tDpMc3//fJqaWFeWVHRrb5fD4FwLjyymYYPGR4PZEDaqte8dj3\n",
       "/eMABt3mlRAiALgYH/XOvrA3HODXg5mfSQnMMGysbT9w2Tl601UTtXo9ALwfC1//rK9xpjT10tkG\n",
       "R6EUbN55zr/rNv/1s47CY7aDG22OqlW5AgCc4U5znr9xijEZnapVUlMEVZ7MMebWKmm3VklfYE6G\n",
       "4Qm2QiVco8KL+1OitjoimaubHYU1SKSf+udTv/+/xRdcnFN/8EC0ubr63WU614B1LItNzqDA8bVN\n",
       "3FGhd2O/bdaoICppPt/XkGeLBUp16fgEUUmXCVQp5xjNG2g7moJ0K7xQI/OagwmN/oDf6Khpcha1\n",
       "DLVMC+F4zLIXNJ36lZw8ESWlm2C19D9ROI5Ap5M4nGKE4UzJ/SECuB4BFXnIHtYmifkGWyTfYBuy\n",
       "p3Ssskxn/s0bHz5/oZRdYaBKAnq7XbM/3HzdVOCXfWMYVRFSkobigHy3NxK49NFfP3z54gsusFU3\n",
       "HA5v2rjxH4yxyGheQ4YRZJhF5AjwGoAEgD0ATtrYjIjMMGzISmpWpdnev/dVKemsr+tzpmqzSiUA\n",
       "0BfNtgTbD14AYMyKyIHoNmeFu81Z/X3ABVXmijsPFdujvimSnKwS1fREnqrlPKOFvJIq1CqpSXxz\n",
       "/AAAIABJREFU5eZEGLmBFswlnDd6eGdT03//U+sm/L5v6B0rm5wm4Vj9wPMNtgjfcXinEm5bwhuy\n",
       "tHL73oBFib9+Wi94jCGlE0KevynfEg+U6NKJElGVSwRVKeWYWjhQL+ieuot8vcILtSlBWxvX6g91\n",
       "WNwHvLa8MyYZrcLk6ly7Ycvh885eNNvltGH1+i0xv9e3AYJ7tE0bUV7pbrgizGvPgyqnp4viI1Mt\n",
       "7rbRtqk7FTU7KubIlvJ5IIIIwnF8e1djRd/v40qKfzXle9Q8bf5kpiosdXD7ltDGvdf+atOHCw6F\n",
       "g3uivpZ/j6b9GUaYsR/qmssYm3riYQOTEZEZhg2B1+yoScXPr9LqdQBwIBkPQc+Oai029l9RJ0Lh\n",
       "RVrrrjoM4DB6yidASieEwu66UmssMFGSExNFVa7iqTqBY9RtVql7ciwEAGch6r+ptLNWVglfr/J8\n",
       "g8yLjSlBaopKpoYOi7vRb3JGr3UV/nDF4Q2fTzA6wSNoVl7gKtkymtd7OhCVNJ/nb/JY4oECXTqR\n",
       "r1HSBTxVCniqFnCMeo7VH5oSzqtwfJ3Mi4eSoq42pLfWNjmL609HF5eaSIfLr419TxIFXTqmvDvP\n",
       "WPLfkT5nHwInsIqY/ta77/vV/2oljVONpjYu0HheOV3nHw1e7Wq4OOyZcps2d7oFVMa23SsK7PHA\n",
       "10Y7wztbMgf3+9tinEZrBQAmp0GT0SiMPdETb0Xbv5J32Q0LdC4PDwDhrLyljav+vTZLsr9dr+fP\n",
       "mBubDMdg7Hsi3yGEXMgYG1LIVEZEZhg2lrqrVqxq2V22MxldSBloGOQNMdLpiLfuuULrKNInmncF\n",
       "TIngCujMo23qsJPU6JQaz6QaADUAXgZ6hFFBd32BLRaYoJPjZaIil/FUmcAzmiswtVxQ1HKtkoYx\n",
       "FYMj5kOhrwEUJEA5vvE8jm9ReMEr8xpPKtq1ICqZ2jvN2e1H9wn3p6LaPbG2pYwxVcdrAryBfZ3n\n",
       "OZKK0n/PN5e8Nxp/i4EwJUKSK9yRbUqE3ZKcdItqOkdQFTdPVU9fBxFyjPcjBrDeji6HZV6sS4lS\n",
       "XUQy17XZ8hpCBtvQ62cMAUZVbAjVfstqEObEBLXi25ct1VXkZuH1rdVT3tlUg9MpJO1aY2oxjL9E\n",
       "GgMUHzrzCPLiedrc6RYAACdCLJhTvK925eQ8vW3zcJ1jU6zu81q9sDCZkkP5qv3hfIPthNvM2Tpz\n",
       "3OBrfbp9zXP/o7G59fHm6vZZjOvvVazwfL5kz+4vx6B1eKSgwOUbhsvoDBlOjY0AXiaEcAD6YsEZ\n",
       "Y2xQH9QZEZlh2CAcj/MKZjx89M/frFm7NczWTPJw/PtL7QU7R8O20UAWNOrhnIp6APUA3u37uTXm\n",
       "N3gCLSWGZLRAUpKFgioX8qpayDO1gAOzcVSxCVSZDiUFoDd8MuTFhI6DoCBhRrh2ynH+NOEiBwy6\n",
       "mZdUFDoUSYO3D7ep182fx0tmM17ZdbCitrYmXWku3HysrfOhQBiFIRmVzMmwUZeKG7VK0qRR0kZB\n",
       "VYwCVcyCKtt5qjo5qtp5Rp2EUTvHqJMAuhOtTQlpVwnfpPBCk8xrmpIaXXNIZ2lqs+W3jJW6ixvC\n",
       "tV/94pyy66bnuiSVUvx5ww54rliKS+ZMtK7ZffhcAKdNRH7aIGo6ypQUiNBT5pUmAnEjxx+vdMlJ\n",
       "sSlWd/3nz53xjbMmlxgi8STueeaNYpdq/JrEi+qJ5l5qyX2lOx55qyOw21JmdHZpjoiz1Sfie9s3\n",
       "vXGJe/FlAmMMHR+87c9nwqoBA6MznHEMd2LNCPBrAPMB7GXs5I3NiMgMI85FjsI1ANaMshljhqDB\n",
       "Hgsa7HvQE8jcD0cV4gm0uuzR7iJdOuERVTlHUJUcnio5HKM9X2BmMNXMqypEALNCKeCDnmpB1wK8\n",
       "+uf/IAbgfMB2PvBb4CAYkGYgcRCSYECCgSggUNHT/UAFCGPoP2Y9cYZMJIxpAIgETASDCEBDwPTH\n",
       "8hgeDwakKeG6KOG8Ksd7FV70yoLGmxQlb1gyezus7o641pg+8Uqji17LzZye65IAgOc4zMhxoL7D\n",
       "hzJ3FlKynPw0eARHi8U60yNrdv9ngpA3s4glQ0mu48CqRa7ST9SGHSpmq3bRWZNLDABg0ku4YGZF\n",
       "wcr3avPmOAobBzPfKZmSTsn0iSxrYyxy5fR924R9zYfAqAJNV1tkdsH0+rXx4AlvrDKcAYx9EdkE\n",
       "YN9QBCSQEZEZMowZKCewFkdhZ4ujcMDyJ4RRZIXabbaYP0eSE/ZdnPKli2aVzxdSKdBYAqlQFK3t\n",
       "ARRKPNRUGkoskRYZE0iP+NOAsY/6O55CZGqvKI0yQqKMkAgjXJQSEmWEi6gc71M4wSfzGl9K1Ppi\n",
       "WoMvqLf7AkZ7dDi7AI0W8bQSDKdSMGt7vGF1vjBLGAzKs+9ta7AljY9kROTIUWx0hmxy4qu7G96f\n",
       "oBc0sdmu4kGJu8EST8pplargexsBtAciKbMonbLD0MzxhhkQMCPcs9RLLFNu4VPF2BeR9QBWE0Le\n",
       "BNB3I58p8ZMhw3BSE253dSld91o0osmflOtnWMoeNIvSad1iZYRDh9UTaDS5wlvltq8poKn9obTy\n",
       "w8sWChxl+PXa/WjJ1dHLsmjs7V11+6eK+bdaBI0ciXRbG4jvDotGdAiR+OElKW4FB/CEMULAeh4Z\n",
       "4wkYRxgjKsenVY6X+74UTkwrvKAovChHJWN8PHgMR4pi0f3Ln7/7Yf6CopyCjmg8Wd0WWMvV+N6e\n",
       "YnHXOM2f9EJlGF6soi59dGvT4UIbFX/9k+ffyb18/uSCunZfeGdN6xsGaPUfpA7/Vq8VtaFIavNC\n",
       "Q8lfjuw2NRh8VG1PQC3SgUcCKvxUaR8J+zNkGCJ9IVea3i+Ck3AzjEjv7EGdeIz0thxvnKm9s5Oq\n",
       "zG/urp8EEDLfWbR3MHFIpwtGVWwKVj9zx5yJkzQCh65Ykj2+6/DrSxyT7x0Ne95XWx6+66Yvnl2a\n",
       "nys8+9o7yZWbdwum3BKBOvLiLVvWrsxNKn+fYctr0PAiZVTFZqXxyfuvv2i23ajHnoa21B9e3fiv\n",
       "RfrSR0fCNkZVbOiur0wwaplmztmTrTOf1sSX00FalbnaSJfLotHFhiMzuDMZ1lWHGn7m1Ih5YUWO\n",
       "63jzz2fYi2qGw9YMJ0dzLGA6GOmsNAvarnyDrcunD/7tnquWlAgcj82HWhL/Wrf3iQWmsmdPds2a\n",
       "rrr7TYRzRhj1TXAW31dktIfWxoO6LYmQL9S8K/O/HmbGir4ghLCUr3XI87WOXIyF6zgeGU9khhEh\n",
       "qcr8hpZ9t4igpSmgdb5n4qPH8txF5aSwLVz7+KVVuVMJgNcP1eyebprw7dPt6TsWjfGQpdJucWmE\n",
       "nu1Yl0EiDkksGg1b2hMhw8xZ5RMnFOQJAHDd5RdK+2qbDtcerlulrzlUfZWlYN2RfVka4gHLrMl5\n",
       "BXZjT/nOKUUebbbDOB2JAZc/JRhV8ay/5Sdc8YJlnGTVvVm3oX6enLy5ypx1RrVz0/AinWT1dAzX\n",
       "etWh+ntvnFC41KLRAIzhsZq6nyZV+ZqxdCP1aaG3IPpWAFjdUTPtKwun5gu9nsf5E/J0r249MBfA\n",
       "SYnInjVnfXf4rc0wLqBjezubEFIB4Pv4qGMN0LOdfc5g5mdEZIYRYV3znh9fobMsz+E0gp/J9MXW\n",
       "vTkXFM0e8I10a/DwNd+cMWFWgcXAAYDboJv1x+2Hr13mmjQmipJnSYbo4WhXv+xSVIZQWo5jFGp0\n",
       "aHhRiSeTH3tXYpRGLzPk/WGg8TatIdEVjClHjEUkkR4Rcb7R11BBCuctk/JnGABAsOWWfrjl79+t\n",
       "An44Euc7U7AIotui6Q2mJATlZqOtPuqzV1lyzijxPd6wigZfXac/Om9Cng0AoskUEiklmvnUzHAy\n",
       "jIPs7BcBPAHgKfQkWAInsZ2deTlkGBEchKvK4TQCANiJyGURcYJCFSJwwieenIQwu03S9mddOHRa\n",
       "DmDO02nv8dALWjWeJo//bsfBWwrNeuPe7nC3hdgeGA1b7Bp9avPBplVvrN981ZSyEsPrazZ3RjvD\n",
       "z0AauKSXVdSlD3jb//Xnd7d8eUpBju2dHTWtLIzfYARKdSZUxcTrLFLfMSdoAF6QjjdnuIkrKX41\n",
       "Dd6ptTnKktFwrCSS/ulEc86weQ1HgrAiBxKKAp0gAIyhPhYLl5vcgdG269PODHtey6aDtS8n0sql\n",
       "HqtRWrWvocnNbA+Ntl0ZMgwzMmPsiaFOzojIDCNCgtH0x4/V9EACEgAcgmXFP6rrLrxherkbAJ7b\n",
       "V9/uEC0vnw47TwSjKgjHY569fGVYTq5t8YesM03lPs0Q+y0PB/OFvEdXvLhm/Uua1WXmtLhpjiWv\n",
       "4bjjdcV/372z9d1NH9RnlxpddTPN+eGRsGuq1b3v9cPv1wnWvDJO1CJetzloo8pbI3GuY7FaDd45\n",
       "7/qbr7Ll5PGyLGPVkw89WpKSr+vbGm6OBUy7NenvCzq9lUSjH5yvyXruZBMlhpsCQ+59jx+sf9it\n",
       "k9z+dDpGoPu1cRhre2YYOgsMZb+rrev8x4F00DjZkteiN2ozIQYZTo6x74l8jRByC4D/AEj1/ZAx\n",
       "NqgarJnEmnHGeEms2eDdv8SUTt0xUdTl1Cqpzi6ef2JJ7qTXjjX+w0DDxBRiNwCABP2fZ9mK954+\n",
       "az9JTbjd1ZnqeChHkpxdyXRYL5h/Mt1WOGw16c5UaiOdjs2p5PcYL0h2qrx1qaPgndN5/pUG5c/L\n",
       "bvje9L7jvatfDwjr1l07yerpSKoyv5IL//n8m+6aIhlMaNz7Ybz61X/9Zbnkfvp02ngs0qrMjebN\n",
       "SYbTSyaxZuQYK/qCEMLS7XVDnq/JKRnxxBpCSAMG2L5mjBUPZn7GE5lhRFjsrlpbG+ncuy7qL3Rb\n",
       "XC1LLO4Bax/2MdtWVA1gzASfdyY7f3rbxLLpGp4DZQy/qa69D8C1o23XUPGn49rOZMRcYrD7NLxI\n",
       "W+IB4+pE5IdM1Nm06fi+q+25vz+Wp/hkKDNl+cpMuHs4bB4KyWg4JssyRFEEAATammKTJVMIAPaH\n",
       "OtzF55+fLxlMAIDCybP1te+/Nw8xjAkRmRGQGTKcgYxxTyRjrOhU5mdE5DiEUUr8qajWrjWmTjx6\n",
       "9OgRFFlj2mN6LOxa0arhe8I0OUKQLUnmuJLi9cLobmcxquL94OHlKlEmSpDen2cr2XKiOR/Q7kty\n",
       "qgq+ObFotv7DrR926lv9t29Op39hmHvddF6jQzrYOvNfe143XOss+OXpuIaRpCSS/umqJx96NLdq\n",
       "enagrSmmtrT8yanLTgKAVZSinf7O/tcMpQrS8bgMWEbP4AwZMmQYRQghV+OTnsgQgD2MseM6f4CM\n",
       "iBx3TCgr+wznzn2AK6/SbN5X3Z7dmbq92OgMjbZdZxq+lOxPKiokgYdKKdoTqWDJGIiH2hA++IOr\n",
       "Z5RcXpVtl9bVtV66obbmyUW2iheONd6fimrdk4puvPsHd+YBwNVXfcZx223fvZ9X8gp5TU/XNY01\n",
       "VxPVWSedpksYUSaaczompOQv127Y4JommYJ2XXa/aCw2OYM1NdWv7Xz3laud+cWWAxtWNWWFYo/A\n",
       "nBGRGTJkGBnGQXb21wEsALAaPYXGlwDYDqCYEPITxtjfjzc5IyLHEYQQ4+evuebH/3vdVwqy3fmI\n",
       "RmI599x5x/8VJ/F9oCemao3i+wan15fTePzgUsHxp8wW2dDI1bnv/n/7D//cKWlc/lQ6bBHtPx5t\n",
       "m+JKii90GBfPyc+WAODiyiLrnnb/pQCOKSK9yYh1ZunC/mJEklYLg8VSJfhS/dUkGWNgcjyFYUjZ\n",
       "Xh33nhsX+fOYLHvPFh1PjEatTw0v0kkW94AZ2cs12b/ftnbtfw/IbzkrTFkH88yeUy4WPp44VoWE\n",
       "DBkyjBBjX0SKAKoYYx0AQAjJBvAMgHkA1gHIiMgziJzZs2b19z82mgyw2mxWeHuepO+xwH0X3vid\n",
       "C3MKS8T2xrrFbz/1u9zlyBqVrirjnVKTK1Bqct002naciBNFXJcand1btnzQceWVV9g0ooiGpkZq\n",
       "yMo1LZpYQLbu2AhZtCLRtKurAuojgzlfX7b6QLyb8H6u4JwLb65ceI4l7Oukq5/+TdVlVPzWULKf\n",
       "u5MRaX3Sfw3lOP1kon2xwjR8Bctn2QuaADQNZe7xrn8s8264danPYLlFMJgk2edtPofTf/9M7CaU\n",
       "IcOYY+yLyPw+AdlLZ+/PfISQE7a4zYjI8UXzqlWrOudXTrIDQFtbG/N3dTcBdgCAvaBwck5hiQgA\n",
       "OYUlor2gcDLaRqA1SYaPsdHfUt6Qji+XCGm53FX88kh5evSCVq33RTdub+28tCrbLq091BoMRuQ3\n",
       "YDv2HIkXVW2L/3t33HHXPRaLRd/U2mb+/A9+XqyVJEycMR3ehsNY/4+NKxZa82rSqsxt6D7wDYGw\n",
       "YgZ+59nOyhf6BNP2VOc0uO0/cGVlG5obGjrcXak7ik3O4JHnIg7HBZULz7UAgNmRzRXPXlRevWZt\n",
       "9sl2d/Gnotp3kXgy/8obJ/OihF0r/3G+Emy/aZLlxPUe17TtXxxOxRdLombf+Z6Jrw1G8G3urp8Q\n",
       "V5OeYr1r99HX1Me27vpyf8R/rwm8OciU7iJH3l2V46QYeHsiZAg63bcXnH9dPgAosXDumv8+efcX\n",
       "YL5ntG3LkOGMZ+yLyNWEkNcB/As9fomrAawhhBgADPh+eCQZETmOYIylnC7X1396771/zCssFdtb\n",
       "WusnJ/Q/R08iKtLJxMdqyx19nGH4eae7YX6z1nofX7AwK5UMpZ9p3rr4q9ml3x0pb9XZ5vIHX9x2\n",
       "aKeKQ5N1RLtuka1i84nmVBmzvYjiFkRV+GJ0+ua3XvnVkiuvcZisdmzY/e92t8K/DgAbuqsfvL60\n",
       "YFm+QSdWB8Jnv9K8z70se+qjaVXmuDzX/93z0wdLCCGIx+J5D/zgrvuLU/jfI8+jyGnaE5/d4x9N\n",
       "xaKKhRdOejt7Y6zrAs+lX52ks2cDAIov/Z/Cfc//6qZJwP3Hm/dm467rCxTua/M4i6U9nUq+3rBz\n",
       "6qUls352vDnruvf973yP9TNFFpt5ZWNH83Z/9K6Z9qIDR4/zh333fUbjqOQIgcxY3su+1gcqLTlj\n",
       "3lMNAI0xf7Z+4oz+HQzBYAbRGV2jadOZSlROCu8pwe/yJlORGo20LubMD9s1+jGdAJnhU8+3AVwF\n",
       "YDF63sD/BuAl1lP/cdmJJmdE5DjD1929V5MidziSVr+L6MARjiVVmeMIYbLX99yaF5+5uWzmXFft\n",
       "9g+6lPbO56DJGm2Tz2haGa7n8+dkEUJAREmjOEqm7wy15c+w5TePxPkIx2OxveINAG8MZf58g3vn\n",
       "+o2bHny+Zv/nVFWlhkD0z/PN7sa4kuILDNKkfINOBICJNrO0odM3FwBa4yFzeeViEyE94lBv0MOe\n",
       "5bSh+eOfjcZA5Mn1LzyVN2npRW5/S0O8Y++OdbNNOYMqWHskDCAEpH+nvuebnlppG7tqzpVp8nyV\n",
       "Et90e8lvj6xQICjKheW8zQIAeUQnNaupBcfLqK+PdlvKHfrlFxZ7zABQZjPnP/RB9f8C+NaR4+JK\n",
       "ircSwcz1miQSAhPhjuP/HVsUGx3ehoZqn61qvgmEIB3yMcQjLTCZRtu0M46VNPTAzC/dfJ7J5eET\n",
       "gS627tnHXFdCf9to25Vh9BjriTWMMQrg371fJ01GRI4/0ttEKdSiNaQ5pnJEVbneRxCmf3PrmnV7\n",
       "t6x7r0JH+YN5Rmfrh0pQJzIGkRBoCSAxQOR4KhKeaniBihxHNZlA+1OAEELIx47pGChyOxC7A61u\n",
       "maniAqtnjZAQVgMADD35NRqOp0mVfUxspSlVASDfYA3t3rc3RClzcRxBOBiEr6Oz8+jSOIuN7m17\n",
       "99fesOXAvkUd0dh8RbJNfjrS8kwWTf/9sqySdwdr5wK9852Vq//9+YKLvzaR10poeufZ5grK/2l9\n",
       "R/WVsx2G7yzJzrcG02n8ofZQxWLXpG8eK3mMAYwj3EC/AgBE5JTeo+1rWt1TyknLC594T9QLWjUA\n",
       "Nagy5uEJQYoxRJg6bkpXZUnmhDvU9pOmV3//PV5nlNRAZ91yaWjt+xhVoYJlknOOgT7LM8Hk8vAA\n",
       "oLO5iNGTX8w64+MyjjbDMEHHpogkhLzPGFtECInikyV+GGNsUJmWGRE5zmCMpWxFs3zCnM/F+n+G\n",
       "j54BZqCZKqmNVJFJczrG0XSCU+UkR5UUYVQhVElz2lhAFJUUL6biGl5J86ISFbUA9L1fBgLoQJiO\n",
       "E1UNL1CJF1T+OB/Gn2ayob7gbdleyrunOZEMKpzv8O6Z2aVDStoYKRhVsTFV/8BZs4sWGiQN9872\n",
       "gzVVXO53rKKuP2ha4ATmTyqvvtPa/uVKi9m61efvTKn8s32/E9q67rn/B9//kd3h1HtbWrzFQXYf\n",
       "9J8812SL21vfufesKVnmxZJISG3SgI6U8bu7Ay37ptry2gZjr1MyJZcm6I0b//P4lykh+olMfH6S\n",
       "xd2xJe27Z0m2ywoAVo0GC522CbuCbflzHIWNAMBE4bVqOeou5XTWdpaKRzis72t3OBATLdntG73V\n",
       "DQs8TptFq8EHXl8smqIbMICDLtuSdffLoY77e2Ii1a5yV+GPBnMtY4WzzZ6dAK6DDMDoGdIaG7tr\n",
       "LjVo6FcNIq9tiSQPTbeV3XXkcygDIMejabAeXzoApGKRNOE0J5iV4YxmlLoCngjG2KLeR+OJxh6P\n",
       "TNvDcYitaFbZhAu+GzvxyMGTjvk5NZ3glGSEV9Mxjov6RSkVFcVUXMPLcdFIKadHTxEYIyFMz/FU\n",
       "x2tUg6AZ9dqJo806X9OUpnTiIi0hbZe5iv9xPOEyGmzwHzr7SxfP+MWiqmIJANoDIXb/syv/epax\n",
       "7LGjx27uriuPK8kqm8a0Y4Y9/5hi2J+Oa7d3HLqaMmoqtOT8p6I3yeSD7oayqgLpmc9WFWsA4HAw\n",
       "ip/tjUAKdt59hbv8lPpor+/c/fj3KksX9H1Ar2htl5ui5IvznMX9fcXWt9fMCSZjC3WCptphsBzQ\n",
       "8ZpkpTn7mAkwHYmw/kCs8TYNzzlUym1c7Kh66VRsPFPZH2p3GaXo375UUZQDAN2JFPv93rp/LnVN\n",
       "GfcF6oeTNTHvQjmv4AfuqhnOjkN7/Wio++25+pwBW39m2h6OHGNFXxBCmFK/Y8jzheIZn2h7SAhZ\n",
       "DuA3AHgATzHGBtxVIITMAbAJwOcZY/85jo2lAFoZY0lCyDIAUwD8nTF2wqQaIOOJzNCLxmCnMIAC\n",
       "6EvG6U/rpgD8ySjpSIR4OR4QlGSE10e6tNpERKtJhCQjY8QMMDMBMRGe6nhRNYnSpyap52xHwR4A\n",
       "e0bbjmMisrxCl1XqO8y2mgnHk/5g2S3ddVVJJCcbOcP2+c6SgwCO2yM8LCfF7W3VT3zGYJ+m43jy\n",
       "atB70R6q3jLFltuaQGLibHdev+ul1GqEQW5IuTTa/jX9qah2OyLXgePM2Sm8OMWYPaj40YjCvfN0\n",
       "a+f8C2wm0iaraPSUie2tzdcAeLBvzFk5FVu7k5E9h/Sxx5aePa/UH4oom7btXbmA8wwodrJ15ni2\n",
       "bsqDA/0uw0e0JUK5V+U6+pNxnDot0Qlc3mjaNBZZanBvbGjuuK7xwHP5RXpra6kpJzDaNmUYZYYx\n",
       "JpIQwgP4HYDzALQC2EoIeZUxtn+AcQ8BeAsnrgT3HwCzCCETAPwRwAoAzwO4eDA2ZURkhkEhSEYm\n",
       "SEZFZ8vtE4cxAJABdMT8XHPML8gxv6CJdGv0sYBOkwhJVsaIBYyYCUdNnKgaRI2Sib88/diYYc2L\n",
       "G3Zfe9sVZ3sIIXhp0+6AVhHeAoAN/v1fn1do//LU7Dzr5pYu30Zvze8WOipWHG+9rZ2Hz1pusE3N\n",
       "ESUCANeaXQV/jHR8a4ot9x4jZ9i5uaWju8hqcgLAznY/UxLxzfOyp9QBQFBOaHYa1D98+dZ7phnN\n",
       "Fvz76SeWba8+fNtMs+fwia6Dk/QJcv615J14FKLNgfLSSej8/f3Wo8cdEELfeej7N89y9OTYINtl\n",
       "vWzFP1a+vshRsu+k/3gZAABFBnvjh13+jmlOqwcAmqMxJSmzQ6Nt11ikyGgPFRntmS5iGQAMe2LN\n",
       "XACHGGMNAEAIeQHAFQD2HzXuVvQkyswZxJqUMaYQQq4C8Bhj7DFCyKDdpxkRmeGU0RjsVGOwpwGk\n",
       "AcQBBGUAzeEO/nCkS6SRbkEfD2ileFAyKlHRBjA7QAy8oBoFrSJluuqMKJPMnrZtDY0/uuMv/71R\n",
       "w3MkGpZfm28qeZ9RFU6jcNnFZflWAPjsRKOjKbT3C+i5Ez0mDEzg8FGQLAcCAnAAMMte0Lix/eD/\n",
       "+2Vg13UCT/TeSHLbFa6J/aV5tkW88y+54btTnDke/Pv5ZxFgulyvpP1TKNR65zJL7ocDnW9rqn1B\n",
       "UkMu0OjFzqZt65vmXntLAccLqNu8MqRPplfiqIgerVZ09glIACgpyDMoAvIAZETkEaiMQmWUUMaI\n",
       "TFWOMgbKGFFBCQD0JYhRxohB0CZqIuqvf7n9wP8YRF7THkvVVpoKnmpPhCUA4AjpvznkCGE8OMYR\n",
       "wjhCwBGO8T3fs8xNZIZPHcMrInMBHLlz04KezjL9EEJy0SMsz0GPiDzRay5NCLkWwPUALuvNFBUH\n",
       "a1BGRGYYMSRztiqZs/viA6MUQHfMz7WGO0U5HhCMoXZJigclYyqm7ROWZl6jmDWSnEnkGV5mWQp3\n",
       "AbgZFOgTXSoY0fL8x9JGNfyJ00hnOovWvumt2XeN0TFJx/F4Oeprcxocf+r7vU6Qmox2Ubpgaqln\n",
       "X3OntOVQ/fXzDRP+DgAEYIxSvLniZTRzudBWzUdu5QXW9jXP3Vsf6r7u6D7wm5WOK5ddecGtV115\n",
       "ha2+vkH5xS8e3vH+Hx9s5LVaQRMOv3OB0fOJeDMaV9a8uXbL3IuWzDNTyvDvN1e35hDDtqH83cYL\n",
       "KqOQqcqlVIVLUYVXGCUyYyQJIIWeu7tU75cKIE0Io4SjjOMp43hQTqCqoFEoL1DK8QwPBawrAAAg\n",
       "AElEQVQAVE6gAKD23eQ5i16nvPgaAHCqzHl7z80oJQJTCQDwVOE4qhJOVbgjq0cwqhJCVSJQlRcY\n",
       "5UQQpkVPUJcWYCIYJ4IwCYBICBMIx7ScoAocz05nBYlVgdY5LYJ0O5FMEol0tlyoN9+VJZkzHRsy\n",
       "jBUG8zr4DYAfMMZYryA80Xb21wHcCOBnjLF6QkgxetoeDoqMiMxwWug+uN4SbNt9A8CIORroMqvy\n",
       "/AQhrfLCr/0ybXTKrYEWDY10CoZQh16bCElWqggOEGYlhJkErXImxlh2JsO6fXLoPIApMyTXqtOd\n",
       "6SpwAmv0JXbW+UNZJXaLZk+HP9ER+f/t3Xl4lOXVP/DvmX0m+0JIQgJhCYuAICpaEcGqLVgXtFbl\n",
       "1WqtVlp3xL2tYu3yaltfF+q+9oeK1daKrYjWKu4bKDuyL0lISEL2Zbbn/P6YCY4xYCbM5JlJvp/r\n",
       "mot5Zp7lzCRMztzLub0fj8o58HHZzlTvuIGlc56p3voTqJGanzZg0aGRk3BSglfddPoJgy0W4Ijh\n",
       "g3Jrmt8/u35v26JMu9s3Oa3ww1cX/XWVY8Dgic5DxgMARASppZMKti57YejQ1NwvIq+VUTjglLPO\n",
       "nJUFAMOHD7UdN33qsC8Xvzt7lC2npqM8UWdHOQe9+vIrb6Ut+3D5d9vafQZqvfcdll5Yc1Bvlsna\n",
       "g/59CWKbEbS0AGiDoh2CVoSSwoDdFfA7U3wBuzPY7kr3qdNjWGxOQyxWWOwuw2p3G1aH27A5UwyL\n",
       "zfm18wvi98dAI/71A/AGvDACfgn4WiwaDEjQ32YxwhUkjIDPYmtvtjr8bTab32u1Bnw2a8BntQZb\n",
       "bE7DsLhF1AOoE5AUhBJOh8VqOC02w26xGgfTq7HX2+wsc6XfnH7EuSUiAsPbVPL6xwt/db4rPalm\n",
       "4lOCiaIl8u2PV2DZxysOtEs5gOKI7WKEWiMjHQ5gUbj0XC6AmSLiV9XFXYanuhbAVQAgItkA0vY3\n",
       "WacrTCIp7mo2vpvRVLPxxSE/uPwQEQsaX3/EmCs+i89QY8F7j46znHLbuWkFo70oGO0F0BIEUN5Y\n",
       "Zd3aUGmXxj2OtMY9Ke62BleuqgwAkG51BJJ9fGVZa13qjgHOhy+85JYxRiCgzz768DnjmnVOb69u\n",
       "cWzWqNueWPHlNosVI2FYPp+aNfpv3TluoDu99XuDJz7Q1XOpTqfDEm5IDgQUAnGtra8YOmXA8C9T\n",
       "7a7AYS3GL5bUrn5k4JBjxjtSQjW72yo215Y4U3d3PlcwEPzaz9jr9RkOsX7rF4qj7YOeRwOeDwXU\n",
       "nVdkvvag39IW8FvbDL+1SVWaoWgOJ4l+m8Pvc6b6vM4Uvzcly291eIJWZ4phc6UFHZ7MYEdSaAvf\n",
       "XBHnrdn4boa//su7XOmZA9oa6ranDTnulrT8Ue0mvEQAgMXmhMXmVJsrtVtVDIzwra29WWp8LaEK\n",
       "Et4WixHwWqytDTaHv83m8LXabb42m93b4uwoV2YL+m0a8LoHOTyNDpvDcFpshtNqC+7vc2Nby96B\n",
       "9uLDMzvqvlqcaVBn2sAYvWzqr4zuF+uYfuQETD9ywr7t39z/eOddPgNQKiIlACoAnANgduQOqjqs\n",
       "476IPAnglf0lkOF9lgE4FaGPjuUAqsM1JOd2J2YmkRR3DRUrLxw887JDHOmhJq6Mmb+wvPbKn3Gu\n",
       "22050pM6+o01rw0smHja19ZFjugKbwfQ2BrwYsPeXY5VTdX21IZKl7u51pNpBGy5ALLEaqTZXf5k\n",
       "Kje00e696Jobbh+TlZULAHLRVXPHP/bbO848Hp7nojnP4says1rTc86x2J1Wra1Y+cPU/N9EUwja\n",
       "ZrHptNyxT0Yb/4HsqW/5fPXOPaVD8zJdD3y0BeO/f2ZGQX39A+//9+23phg5v812eLwzNefSJUuf\n",
       "uNtRMKwk0NrgT2moeWZs5qBvrI3dWlG78JFHnyiedfppeZs3b2lf/vGnHx6TNqBbpScSUVANtAZ8\n",
       "trag39oSDFgbAW0USDNEfQ6335uS2dbqyfJKSlagI0nsGBLSkSCmRHnNQOPGx4/7xa3fcXpS0bK3\n",
       "evIHT/7Rk5Y/KimWbIzk3/iPswdkppzc2t7Wvrstff7ACad97UuHgVB3fVPLXousf+5no4tyfzIw\n",
       "O93x4aqNO+q8KVem2x0Bm6/NZg802z0IvY8d/zrForkOz97V1Vvq3SWTM0UEwfYmiLepCinfmLtF\n",
       "1G0aw2Lj4QkwVwBYitBokMdVdb2IzAk//3APTpuhqo0icglCpX1uE5FuVxthEkm9QICvr+qy715T\n",
       "MOC3uzO+tfXNYnMiNW+ED3kjfAi1VtZ2tFba6spdqc01KSktdZ4BgGZZLJphdQQyHO6E7QIXq8Xt\n",
       "dn9Vrdvj8Qislqjyg09rd5YER078edERM7IBoG3PzoLFbz+768yMwU/EONyoHOMeds9jS5c3B1I9\n",
       "Z/zu7nsL0jMyrACyMrMyZ/z7waf/OTV32JpsZ6r3PGfq5Xv31jhTbU6/I31Ql5+0k135y77472cV\n",
       "v/7g02loD2yd4in8L5JkuGyTv93WFvRb24ygpV4V9SJoFtE2V6rXmzagxZeW67O50oP2lKxAR6Lo\n",
       "CN9ipb1hty2zaFix0xNqjk3JHiCpeQXDY3iJXtG26q8/Ov/cM2/94VlnZba3t+PaudeUbtu+/NSs\n",
       "ksO/US+3ev1/8887fOScubNPGwgANXWN+Rf/4eFrMemKeZGJZqCt0RrwNlsD7U1WZ0ud3eltsXtr\n",
       "dty16/3Hr7G50lzSVL1rosP5520tdR6nxWJw8QVKBKq6BMCSTo91mTyq6kXdOKVVRAoAnA3gVx2H\n",
       "djceJpEUdxkF4/5a9uaTpxWfdPEYsVixZ8mD/jONoH1ZY13zOn/g1dxR03rUsrSvtbJ4QrsC9fXt\n",
       "zbK7rswRbKi0pzdWpnjaGlw5aliyRTTDYgum213+ROkCH9Cqzz2x4P+mzpl7wyAjaODpBxdsL2q3\n",
       "vNT9OXFAJYLjUoeMy+7YducNdtbanKPiEW80xGLFMakjHvvY3TQqPSOjoOPxIYNLPEG7fG0x98i1\n",
       "r/dnYmr+JgCbErVb2mcEpMXvszUZfmuzqtQBaATQ7kz1tqTmtPrT87w2V3rQmZ7nd6RkGz1tUewJ\n",
       "R0pOoGF3zb6JIWoYaG+oa0u2VbNzMtwn//CsszIBwOVy4ccXXDDi2pvumJBVcvgHnfdtqysrOnz0\n",
       "pH0je3Oz0pGV6s6LLNgYrihhIDRMc5+BocoELwfam8Xf1mDd1Fpn2+BrtVhbG2wdiy/YvC0OlxG0\n",
       "hlf4Ug8gqQgtJ+u02IJOq+2gxmZSHxNFd7ZJfoNQy+b7qvpJuPj4pu4ezCQyCXmbato3v353b/wN\n",
       "ihW/v7Xhgo3P3X4RoNZga+Nr9xmBMa0W61Z7VtEKxP61aA3QrGo0GwGf3Qj67en+dndawJ+RoYYl\n",
       "W4A0WAy3xRKwi8WUD3sPULvrnR3X/XrDmgtVNZhWVftYps3RtrWuvIvFBPdzDn/bpr3rP9hr85zU\n",
       "0RLpRX3Vlq21Fd0+Rzw1pzje/fuiZw7/3syZmUYgiGefemynu7Zq/daG+oSIrye8hmH1qmFthVqa\n",
       "VKUR0GaLJdhqsbW32BxthtUesFgdAYvNHoSvBWiqAqo2dsxbMefzNthy97IHb70xZ+jojKoNn++t\n",
       "313+u4aqpPr8QHG21be7fAc8ntCvzsa1q1qaa3d1+Tnob20oW7TkjbJDhxWUCASrNm3z7iovW1e5\n",
       "/aBeczB8awcAVQMaDFrV8FtV1aJGwOoOBmwuI2h3GEG7XQ27SxVuAdwAXIA4IbBBgjYRwwrRWg3Y\n",
       "fRa7aWNTqZckeBKpqi8AeCFiewuAH3b3eC57SP2KiNgAOIoAdwGQmgfYhwEYDBiFQHBUp5aJRPfz\n",
       "nEE/bs0b8hOLw2ULVm797C9V269Lj6IrIt5uLymZnTJ4yKntbW3+1LVrf3dNa8sBV8NJFO0AKgDb\n",
       "7tDNUgZgD4AGwFcLtG4O7eIH4FfteSE4EXE4na4phhEM+v3+D1Q1LkMwRCQFQAGAMlVNusRFRPJP\n",
       "OPGkpZf+4rIxO3fsaHnumYUvLP/s00v3t39J4cDvjC4puisrPdWxcUf5Rys2bJl7MD+nHsZsQWjc\n",
       "mhWANRWwZgO2TMDhBhxNANaFfh5stYyxRMkvRET9Xyzt8fH2id//xrKHsSYibgAXAzgEoe88AKCq\n",
       "+tNuHc8kkvqz8PJQ9lTAUQqkZgPuIsAyBNAiIDgc8GUkUFJGsdcOYAdgrwRs5YCUAdgNaCPQXgG0\n",
       "VofKLHYkjDH7XRAR96SjvvPGxVfOmxwMBvXx++9+b+VnH89Q1aT6ItNbRMQD4DAAdaq6zux4KHEl\n",
       "Sn4hIupfseTbd9wP+6SZvZFEvojQijfnAbgdwPkA1qvqVd05nt3Z1K+pamQ3VWNEtX7HMMA9EEjJ\n",
       "A+yDAS0EdDAQGAL4XQc8KyWqPYClCrBVAtaKcMK4Bwg2AO3bgfrmr5LFuCdyw0eNufH2ux84pmhI\n",
       "iQDAgIH502667KeXAvhLvK+djFS1FcD7ZsdB1MeMUNWzROR0VX1aRJ4F8F53D2YSSRQh3NLUsYRj\n",
       "M0I1s6wAHKmAvQRIyQHchYB1CKAFgFEABIYBvTIT/Bkgd2tJwYKC7Izc3XWNtcN27L7yPEP39Ma1\n",
       "k01ZKFG0VwKWCkDKAdQD/nqgtQxoawoljIF4dSF/G7vdnpeTl7evlSE3b6DV4XTlHegYIkoyCT4m\n",
       "EqG/dQDQICLjAVQCGNDdg5lEkmlEJA+hX9bNqnrQRbZFJGNsWtp96XbbgBqv7/1NLS2/j0X3Y7i1\n",
       "si18awxfyw7APgBwFgKebMCTD0gRgHzAKAb8hUAg1i2WW4YWPnj/T089xuOwo80fwFWPL34I2yrO\n",
       "jPFlkkpk62J1uHWxGkAT0F4JNJSFqroc9PjFWKuuqnzwvt/ffsr1t/+h2DAMLLjzt9vKd+54yuy4\n",
       "iCh2NPGTyEfDK9X8CsBihJZn+HV3D2YSSaY4fNKkm66/bt4VY0aPSXv+hRe2uVyuU9rb2zsv39Rt\n",
       "ImKZmJHx798fMmZKht2OlQ0N0+/dsjUNwE0xDHufcHenH0ArgLpwDHYA9jzAMQjwpALu3HBimQdg\n",
       "IBDMAwJFoe7zHinOzRzocYTqALntNhQPyMrDtoqDfj098SaQ+lTRyHtt2flF/sbahmN3bZz786C/\n",
       "PF7X60gW9wC2GkB2A7oHQBMQqAdadwHtEd3RCVsjtEPNnqrV+YOKzt60fu0Nqmps37LpNy3NTdvM\n",
       "jouIYiiGxcbjQVUfDd9dBmBotMcziaReJyJ5182bd/lvbr99EADMmnX6hNNmnfEXAKcfxGnzp2Rn\n",
       "j8iwhxKsCRkZ7iK3a2oMwu22TollPbBvNrgNgH0E4MwBPJ5wq2UegFxAcwAjFwh0p+Vyd11jQyBo\n",
       "wGa1IGgYqKxrbIjri+p8fcD6IDDGChibi0bOGzL7phmOlAwYAR/ee/b3j/586+qTD+b8DYBUhpJE\n",
       "ayNg2QOgCsBeQBoAX/NXyWIAoVtMJ7v0tsryso8A9OuW5Egi4gIwHkC9qna7Vh0RmYNJJJlhwJgx\n",
       "o/fVO3a73cjOyjrY+seNld72faVLgqpoCgR6dR3qroRbxAIITdxpAoDw5J2O5NJWBDgGAE4P4MwE\n",
       "rLmA5ACaBSAdMNIBIwsI5gLBzLLquVc++cr9Q/OysrdV19WnlO+Z11uvZTXgfL4g55mzDhs90RcM\n",
       "Bh8qE8ORkgEAsNgccBcMH/Dh1tXu74S6/bvUAEgtYK0BbE2ApQGQegA1gNYj1KrYBHgbAe/O0Fid\n",
       "AEItt4FkThbp24lI7tHHHb/0h+f/dExVRXnruMMOf2HN58t/YXZcRAcjCbqzDwqTSDLD5r/97YXt\n",
       "Z8yaNcHtduODDz5o37lrV7dng3VFVZtHp6U99NSOnVePTkvNWbpnz7YtLa3XxirgWAonQx2tll8T\n",
       "ri1nQ6i2nG0wYO+oK+cA3Knt3t2Zm3adVbFpl3UwEEgH5E3AkwYYbsBIAYxUwHACGuvSRM9kpV0x\n",
       "f8YxRxdlpgoAvFS+QYP+dlisdhiGgbaqnS1BQJcB7lZAGkM3bQHQFL7fDgTaAV8T0FoZalnsmB3P\n",
       "RLGfGz/pyP/73wefmpSalg4AbpfbPVtEHlLVlWbHRtRjTCKJYktVvS6X65TTzzjjL1lZWak7d+56\n",
       "/4svvrjtYM+7oanpf0VkEYBBANaqao+WUzRTeOKHb3/PRxQwtoRv1lTAkg3YUgCbC7A5wkmoA7DY\n",
       "ALEDcAPiBDRybWYLINZwohm5XnMQkCCgQUAMQPdN3bPIILvLIdXeAFQUs0dlyS0L76hyFY4MttVW\n",
       "NAeqdtz0J6ChHvA3AwZCt2D4XyM8QSmpeVJThxUNGXZFIOBv3LZxw59UtdnsmPoKtyclPZxAAgCK\n",
       "S4aludwezlan5JbAYyJFJBPADIT+ZgJAGYCl0fztZBJJpghPojmYMZBdUtXtALbH+ryJIpxkRvWp\n",
       "FE48pdMNEf92vg981YqpHfcL/cEFC1dvmTpv+qRCEcGCj9fuaK/admLljg2VAFr6eitiWkbmqOO+\n",
       "f8qSK371u6EtTY2488arZorIdFXdb/e92cJDJ5AMP5va6qp//OvF56aectbsLJ/Xi+efeuTL9rbW\n",
       "T8yOi6gvEpELANwG4A2EkkcA+C6AP4jI7ar6dLfOE4/PFhGZD+AShCptAMDNqvpap30SoqI8EXXf\n",
       "sJyMGcWZaVcGDdVtexvuKG9o/tjsmHrLIRMPX3j/on+dZwtP3lr3xXL99WU/mV1Ttft5k0Pr0uDR\n",
       "424pHD7qArvdadn55Zq3d25YPSfRk8nSMeN+NrCw8My2lhbvhjWr5nK2OvVEouQXIqLtby3s8fGu\n",
       "48+P24o1IrIRwOTOrY4ikgXgE1Ut7c554tUSqQDuVtW743R+6ufCs54HAdirqk1mx9NfbK1teA3A\n",
       "a9+6Y58kX8vBDMPoaBlOOBk5ecf84JKr500947xsANi88tOi5+785RoA95kc2gFtWr/mUQCPfuuO\n",
       "RMki+cZERvVFM57d2aZ/C6C+ye1yFp507NGvnHLiccXrNm1tnjRuzB9XrFn/oNlxUd+2fdOG+Xfe\n",
       "dNV3LrvlN8ObGxv0sT//9qO91VWvmB1XVzzpGceMmTw1u2N7+KFHuJ1uz1FmxkTULyVuEvk7AMtF\n",
       "5HV81Z1dDOB7AO7o7knimUReGe5z/wzAvGSc5ECJ6aiJ4x/6+8N/muRxuwFgwDW333WjiDzH3zHq\n",
       "CRHJgsV+BAz/blVds7/9WluatziczuO3bdowx+/zNe7csmmBqrbvb38ztTTUL1v13pvV3z3nogEA\n",
       "sOHT91q8ba3vmB1XshORjPxhI+eKxequ3rn1Xr+33ZxK/0QHKbxO9isAvg+gMPzw2wgNP6zr7nl6\n",
       "nESKyBsA8rt46pcAHgTwm/D2HQD+DODinl6LKFJOVmZGOIEEAIwfXZqO0PKJTCIpKhZHyhh7/tiX\n",
       "nMVHlgabqxtsGUVPBxrK5u5vf5/Xuwuh5cESWuPe6k+LSg+5Y8e6lZfYHA5r+eYNr+/etukRs+NK\n",
       "ZiKSVnr4lLfOuuH3hzmcLrx0z/wz7A7nCX6fd5fZsVHi0gSena2qewE8dzDn6HESqaondWc/EXkM\n",
       "QJddPuEJOB3eVtW3exoP9R87K3avWLl+4zETxoy0eb0+LH5j2S4AO8yOi5KPNW3gn1LG/3CUWKyw\n",
       "Zw/NUn/buSLyZ1Xt8RKciaJs07r7Adxvdhx9RW5RyfmnXvHLw7IGhhptzr7pztIHr5r9KwBzzI2M\n",
       "RGQ6gOkmh9G1xO3Ojom4dGeLSIGq7g5vngFgdVf7qer8eFyf+rbPVq27bs7Nd1hKigon1dTVtyxf\n",
       "te4Xqrrf2oqJRkRs40sKb0v3uEbXt7S9t3bH7vsSfdZsXyU2p1Ms1n3bFleGG0AGvhojRAlARFIn\n",
       "Dht0Z4rTkbe3ufXv63ZWLurtGFRVEfnflP9lE0a4Aertjm0ROei6wzHDJLJH7hSRiQjN8tkGflOj\n",
       "GAoXrb7a7Dh66siRQ5576Kr/mTWmON+2bPWmk2958uXBAHpt+UL6itFa9y9f5dojHflj0w1/G3wV\n",
       "X2wEsNHsuOgrImI79pBhr/312vOnDMxMw9NvfnLC2MH5aWt3VvbqLO7a8h0LFy/43c/Ouv63kxwu\n",
       "D166Z/7Gqm2buj0BgfqnRO7OFpHDAAxHaHGO9T05R1ySSFW9IB7nJUp2IuK4/NRpR44pzrcBwLTx\n",
       "pZ5DBucfb3Zc/VWgqfIeW1p+m7fssx9owFcXbCi7RlW/sRwlmWrUhSdMHjcwMw0AcOEJk7P+/ena\n",
       "s9HLpYBUtVlEjn/y5jlXW6wW9+4tX94f0eNGlFRE5FYA5wNYDuCPIvIHVY163DRXrCHqXYHG1vav\n",
       "JSnN7d5e6e8QkbF2uy3P7w+sUNWG3rhmMgg0VT4M4GGz46D9aqluaN43XCUYNNDi9QXMCERVGxFF\n",
       "+ROiBO7OPhfARFVtFZEcAEsBMIkkSmSqakwaMfjJB15Zdu3U8SNy/v7e5xUby/f8Od7XnTxh7P0L\n",
       "5l933qihQzL+svDFL9NSPKc0tbRujfd1iQ6Wqm4/cuTglwuy088dWZiX+sCr723ZULbnZrPjIuqW\n",
       "xE0ivaraCgCqWhteHjdqcVn2sFsXTpBliYjM4HbaJ+Rlph+2c8/e91R1czyvJSLD7rrpyo/mXfw/\n",
       "AwDA6/Xh+xddvfidTz6P+drlRPHicTqmZKd5SsprG95U1Uqz46HElSj5hYhoy4t/7PHxKWddH89l\n",
       "DxsARNaOnQrg3fB9VdXTunMetkQSmaDN618JYGUvXS6zZFBBSseG0+lAemqKq5euTRQTrV7f+wDe\n",
       "NzsOIjOJyAwA9wCwAnhMVe/s9PzpCNXpNsK361X1v12cqnMjQmSPWLdbF5lEEiUpEbEMHjr8Ipfb\n",
       "M6KutnrRnsrd+0tK1z76/D83nDRl8qT0tBQs+tcbDTvKKxf3arBERP1RDGdni4gVwAIAJwIoB/Cp\n",
       "iCzuNLP6P6r6cnj/8QBeAjCi87liVZebSSRREhIRGXfYES/M/fVvTxkybIRj4SMLfjx42PBLdm7d\n",
       "8lrnfVXVKyLfn3nxNfempXjSd++pfWX1l5u5egkRUbzFdkzkZACbVXU7AIjIIoRaFPclkaraErF/\n",
       "KoCark4kIrMAFKnqgvD2Jwit/AYAN6jqC90JiEkkUXIadvKZZ0+bcMRRDgC4/MZbB21ct2YegG8k\n",
       "kQCgqjUAzuvNAImI+juNbRI5CEDkMptlAI7qvFM4QfwDgAIA39vPuW5AaIZ2BweAIwCkAHgKAJNI\n",
       "oj7MYrXa9g24FhGIxWL6QHIiIuqZd9Ztw7vrth1ol26NVVTVfwL4p4hMBfD/AIzqYjeHqu6M2H5P\n",
       "VWsB1IpIShf7d4lJJFFy2vzvF5/7cPykI78/eOgw28JH/lJZtmPbArODSiQikjUhL/tuj92aVdPm\n",
       "XbyxtuEJs2Miov4lmhVrpo4egqmjh+zb/sM/3uq8SzmA4ojtYhxgiVZVfVdEbCKSE04QI2V12veK\n",
       "iM0B6CYmkURJSFVVRGb98opLrnK4nMMb6+sXVuza8aHZcSUKEXF8Z9CApfd97+gjM5wOvLJp57Qx\n",
       "uZmu9TX1D5gdGxH1HxqM6bKHnwEoFZESABUAzgEwO3IHERkOYGv4b8QkIFQHsotzfSwil3ZepUZE\n",
       "fg7g4+4GxCSSKEmpagDA3WbHkaBG/2j00NEZTgcA4NTSwZn/3lw2CwCTSCLqNbFMIlU1ICJXILS6\n",
       "jBXA46q6XkTmhJ9/GMAPAVwgIn4Azfj6uMdIcxHq8v4fACvCj00C4AIwq7sxMYkkor6osbKlrQ1A\n",
       "GgD4gwZa/AHftxyTsEREgFALtNmxEJF5VHUJgCWdHns44v5dAO7qxnmqROQYAN8FMBah8Zb/2k9N\n",
       "yf1iEklEfY6qbp8wMPtvqQ7bj4dnpacvXLNl4/qa+nlmxxUtEZHScRPunXn2+TPVUJSOm/DSpjUr\n",
       "bzA7LiLqnmjGRPa28JfSN8O3HmESSUR90sqqvVeKyGMeu62g1R/4WFXrzI4pWoNKhp334ytv+Onk\n",
       "aSemAMA7S16ek1805P3Ksh0vmx0bEX27GI+JTDhMIomoz1LV3lxeMuZc7pQpE48+dl+5jYlHT01P\n",
       "SUs7BgCTSKIk0NeTSIvZARARUde8ba2vf/CfJQ0d2x+8uaSuubHhDTNjIqLuM4LBHt+SAVsiiYgS\n",
       "1K5tm18qHXvohE/fefMMNQzs2Pzls1Xlu/5jdlxERACTSCKihLZp7ar5AOabHAYR9UAiT6yJBSaR\n",
       "RERERHHQ18dEMokkIiIiioO+nkRyYg0RERERRY0tkURERERxwDGRRERERBQ1o493ZzOJJCIiIooD\n",
       "jokkIiIiIuqELZFEREREcdDXWyKZRBIRERHFASfWEBEREVHU2BJJlEBKRpSePLCgcI7f5/N9uXbN\n",
       "jS3NTVvNjomIiKg/YhJJSaNk2IgTTznr3Mcvvea6/IDfj5uvnHOoiByrqtVmx9aXiYg4s/PPtjrc\n",
       "w30N1S/6W5s2mh0TEVEyYEskUYLIzMm55NJrrssXEdgdDlx69byRaz5f/gMAT5kdW18lIpI2eMyi\n",
       "khkXn+YeUOQqW/bCz925hT9uq6lYFuV5ClIKh8+Dqr9l99Y/qureeMVMRJQoDI6JJEoMPq+3vrG+\n",
       "HhlZWQCAPZW7va2tLVUmh9XXDcubdOIJWSMPdwHA8NMvL27bs+OXALqdRFrtzsLc8ce9VXrWtSON\n",
       "YAAb/3bXD0RkmqrWxS1qIqIE0NdbIlknkpLG+tUrb7r+5xct/+idt4NLF/+j9aG771xSv7d2qdlx\n",
       "9XE2i92573NCRCBWm0RzAs/AITeNPPv6kfaUDDjTczBi1lXjPQNLLol9qEREiUWDwR7fkgFbIilp\n",
       "qGq9iEz9/JOPjvZ621sAfKqqanZcfdymqk+WLM8YNuG77uwCS9k7L+xpqyl/NFWRIjIAAA15SURB\n",
       "VMpzfP3HpArt63UviIj6ATHrb7CIqKpG1aJBRL1PRBye/KG3WGz2IYG25oVtNeVvRnn8wJyxU94a\n",
       "cebVY4xAAJv+fvcX9Rs/m6aqjfGKmYj6r0TJL0REN191To+PH3Hf80iE13EgbIkkogNSVR+A+Qdx\n",
       "fJWITGurrbgcqv7Wqu0LmEASUX/Q18dEMokkorgLl2Gab3YcRES9KdZJpIjMAHAPACuAx1T1zk7P\n",
       "nwfgBgACoAnAL1R1VUyDiMCJNUREREQJTkSsABYAmAHgEACzRWRMp922AjhOVQ8FcAeAR+IZE1si\n",
       "iYiIiOLAiG1L5GQAm1V1OwCIyCIApwNY37GDqn4Ysf/HAIpiGUBnTCKJiIiI4iDGhSgGAdgVsV0G\n",
       "4KgD7H8xgFdjGUBnTCKJiIiI4iDGYyK7XU5HRI4H8FMAU2IZQGdMIomIiIhM9snuGnxSWXugXcoB\n",
       "FEdsFyPUGvk1InIogEcBzIj3ymBMIomIiIjiQIPdr8V9ZF4OjszL2bf9wMqNnXf5DECpiJQAqABw\n",
       "DoDZkTuIyGAA/wBwvqpu7knM0WASSURERBQHsZxYo6oBEbkCwFKESvw8rqrrRWRO+PmHAdwKIAvA\n",
       "gyICAH5VnRyzIDrhijVERETUZyRKfiEiuurcmT0+/tBFSxJ+xRrWiSQiIiKiqLE7m4iIiCgOjCjG\n",
       "RCajHrdEisiPRGStiARFZFKn524WkU0iskFEvnfwYRIRERElFw0aPb4lg4NpiVwN4AwAD0c+KCKH\n",
       "IDRj6BCECmP+R0RGqmpyvCNEREREMRDN7Oxk1OMkUlU3AEB49k+k0wE8p6p+ANtFZDNCS/V81NNr\n",
       "ERERESWbvt6dHY8xkYX4esJYhlCLJBERUb8zbmjRJdnpKTObWtsrvti880ZVbTU7JqJYOGASKSJv\n",
       "AMjv4qlbVPWVKK7Tt1NxIiKiLkwYPvjGWy84/ZbTpkxKL6+p0x///uGxInKCmlVfj3pVsoxt7KkD\n",
       "JpGqelIPztl5WZ6i8GPfICLzIzbfVtW3e3A9IiKihDRiUN4PTpsyKR0ABuVmyaxjDx/74drNg9DF\n",
       "cnXUMyIyHcB0k8PokmH07e8KserOjhwYuRjAsyJyN0Ld2KUAPunqIFWdH6PrExERJZzmNm9QVffN\n",
       "H6iqa/ADYHd2DIUboN7u2BaR20wLppO+PrHmYEr8nCEiuwAcDeDfIrIEAFR1HYC/AVgHYAmAy9hs\n",
       "T0RE/dH6nRW/uuLe/7ftsy+34YlX32lY9sWGRaq61+y4iGKByx4SERFFSURcCA3XqlTV5m/Zt7Ag\n",
       "J3NqdX3jRn8g+HnvRNh/JUp+ISL6wfHH9fj4Y956J+GXPeSKNURERFEoSHFPOmlw/sIphQMGrqqu\n",
       "31ualX7DprrGl/a3v6pWAHi+F0OkBNHXu7OZRFJCK05POWp4Vvrd2S6Ha0t908pVe+ouVdWA2XER\n",
       "Uf9Vmpm+4O7jDh9jEcGPSodkX/vO8t+JyD85dIs6YxJJZBIRSTtlRPHTfzrhyFEWEWyuazz0hv9+\n",
       "1gBgrtmxEVH/let2eiwRC23ke9wpAOwAfKYFRWQCJpGUyEacNLSwqOPDekRWum1gimu8yTERUT+3\n",
       "taH5y4qWtkMLU9zS6PNj3d767arKBJK+wejPdSKJTFa2orK2ZubwohQAqGv3orbNW2V2UETUv62s\n",
       "qbtw3jvLmwtS3KXVre1VK6rr5pgdEyUmZZ1IInOoavWY3Mz51735yS0FqR7XisraLV9U7b3M7LiI\n",
       "qH9T1XYAF5sdByU+rp1NZKL1NfVPichfAbi43iwREVHiYBJJCU9VDXCFByIiSjL9eu1sIiIiIuoZ\n",
       "lvghIiIioqhxTCQRERERRU2Nvt2dbTE7ACIiIiJKPmyJJCIiIooDdmcTERERUdT6+sQadmcTERER\n",
       "xYEGjR7fuiIiM0Rkg4hsEpEbu3h+tIh8KCLtIjIv3q+PLZFERERECU5ErAAWADgRQDmAT0Vksaqu\n",
       "j9itFsCVAGb1RkxMIomIiIjiIMZjIicD2Kyq2wFARBYBOB3AviRSVasBVIvID2J54f1hEklEREQU\n",
       "BzEeEzkIwK6I7TIAR8XyAtFiEklEREQUB4Z2P4lc7W3BGl/LgXZJuFk6TCKJiIiITDbemYLxzpR9\n",
       "24taqjvvUg6gOGK7GKHWSNMwiSQiIiKKg2AULZHd8BmAUhEpAVAB4BwAs/ezr8TywvvDJJKIiIgo\n",
       "DmI5JFJVAyJyBYClAKwAHlfV9SIyJ/z8wyKSD+BTAOkADBG5GsAhqtocu0i+wiSSiIiIKA5i3BIJ\n",
       "VV0CYEmnxx6OuF+Jr3d5xxWLjRMRERFR1NgSSURERBQHfXzVQyaRRERERPEQ6+7sRMMkkoiIiCgO\n",
       "2BJJRERERFHr6y2RnFhDRERERFFjSyQRERFRHLA7m4iIiIiixiSSiIiIiKLGMZFERERERJ2wJZKI\n",
       "iIgoDtidTURERERR6+vd2UwiiYiIiOKgr7dEckwkEREREUWNLZFEREREccDubCIiIiKKWl/vzmYS\n",
       "SURERBQHfb0lkmMiiYiIiChqbIkkIiIiigPD7ADijEkkERERURz09e5sJpFEREREccCJNUREREQU\n",
       "tb7eEsmJNUREREQUNbZEEhEREcVBX+/O7nFLpIj8SETWikhQRCZFPF4iIm0i8nn49kBsQiUiIiJK\n",
       "HkHVHt+6IiIzRGSDiGwSkRv3s8994edXishh8Xx9B9OdvRrAGQDe6eK5zap6WPh22UFcgyKIyHSz\n",
       "Y0g2fM+iw/crenzPosP3K3p8z5JXUHt+60xErAAWAJgB4BAAs0VkTKd9TgYwQlVLAVwK4MF4vr4e\n",
       "J5GqukFVN8YyGPpW080OIAlNNzuAJDPd7ACS0HSzA0gy080OIAlNNzsASgiTEWqk266qfgCLAJze\n",
       "aZ/TADwNAKr6MYBMERkYr4DiNbFmaLgr+20ROTZO1yAiIiJKWDHuzh4EYFfEdln4sW/bpyimLyrC\n",
       "ASfWiMgbAPK7eOoWVX1lP4dVAChW1brwWMl/ishYVW06yFiJiIiIkkaMJ9Z092zSw+OiJnqQNYxE\n",
       "5C0A81R1RTTPi0gfn7NEREREZlDVzolUr4tFnhP5OkTkaADzVXVGePtmAIaq3hmxz0MA3lbVReHt\n",
       "DQCmqWrVwcbSlViV+Il8kbkA6lQ1KCLDAJQC2Nr5gET4ARMRERHFQxzynM8AlIpICUK9vucAmN1p\n",
       "n8UArgCwKJx01scrgQQOIokUkTMA3AcgF8C/ReRzVZ0JYBqA20XEj9Da43NUtT4m0RIRERH1Q6oa\n",
       "EJErACwFYAXwuKquF5E54ecfVtVXReRkEdkMoAXARfGM6aC7s4mIiIio/zF12UMR+aOIrA8XxPyH\n",
       "iGSYGU+i6k5xUfqKiBSLyFvhYvhrROQqs2NKBiJiDVdV2N+kOYogIpki8mL4M2xduOuIDkBEbg7/\n",
       "v1wtIs+KiNPsmBKJiDwhIlUisjrisWwReUNENorI6yKSaWaMiWY/7xlzi15i9trZrwMYq6oTAGwE\n",
       "cLPJ8SSc7hQXpW/wA5irqmMBHA3gcr5n3XI1gHWI40y+PuZeAK+q6hgAhwJYb3I8CS08jutnACap\n",
       "6niEuuPONTOmBPQkQp/1kW4C8IaqjgTwZnibvtLVe8bcopeYmkSq6huqaoQ3P0Ycaxklse4UF6UI\n",
       "qlqpql+E7zcj9Me90NyoEpuIFAE4GcBj+GZ5COok3LIxVVWfAEJjlVS1weSwEl0jQl/wPCJiA+AB\n",
       "UG5uSIlFVd8FUNfp4X3Fo8P/zurVoBJcV+8Zc4veY3ZLZKSfAnjV7CASUHeKi9J+hFs/DkPog4T2\n",
       "7/8AXI/QZDj6dkMBVIvIkyKyQkQeFRGP2UElMlXdC+DPAHYiNLO0XlX/Y25USWFgxOzaKgBxW32k\n",
       "j2JuEUdxTyLDYzlWd3E7NWKfXwLwqeqz8Y4nCbFrsYdEJBXAiwCuDrdIUhdE5BQAe1T1c7AVsrts\n",
       "ACYBeEBVJyE0C5LdjAcgIsMBXAOgBKGegVQROc/UoJKMhmbC8m9CNzG3iL9Y1YncL1U96UDPi8hP\n",
       "EOpGOyHesSSpcgDFEdvFCLVG0gGIiB3A3wEsVNV/mh1PgjsGwGkicjIAF4B0Efmrql5gclyJrAxA\n",
       "map+Gt5+EUwiv80RAD5Q1VoAEJF/IPS794ypUSW+KhHJV9VKESkAsMfsgJIBc4veYfbs7BkIdaGd\n",
       "rqrtZsaSwPYVFxURB0LFRRebHFNCExEB8DiAdap6j9nxJDpVvUVVi1V1KEITHf7LBPLAVLUSwC4R\n",
       "GRl+6EQAa00MKRlsAHC0iLjD/0dPRGgiFx3YYgAXhu9fCIBfir8Fc4veY2qdSBHZBMABYG/4oQ9V\n",
       "9TLTAkpQIjITwD34qrjoH0wOKaGJyLEA3gGwCl91/dysqq+ZF1VyEJFpCC1TeprZsSQ6EZmA0EQk\n",
       "B4AtAC7i5JoDE5EbEEqEDAArAFwSnjBIAETkOYQW7MhFaPzjrQBeBvA3AIMBbAdwNhfw+EoX79lt\n",
       "CM3GZm7RC1hsnIiIiIiilkizs4mIiIgoSTCJJCIiIqKoMYkkIiIioqgxiSQiIiKiqDGJJCIiIqKo\n",
       "MYkkIiIioqgxiSQiIiKiqDGJJCIiIqKo/X8NqL/0sErMEgAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1085d2d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "m.plot(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "m.optimize(step_length=0.01, verbose=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style type=\"text/css\">\n",
       ".pd{\n",
       "    font-family: \"Courier New\", Courier, monospace !important;\n",
       "    width: 100%;\n",
       "    padding: 3px;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<p class=pd>\n",
       "<b>Model</b>: OMGP<br>\n",
       "<b>Log-likelihood</b>: -644.812245454<br>\n",
       "<b>Number of Parameters</b>: 4<br>\n",
       "<b>Number of Optimization Parameters</b>: 4<br>\n",
       "<b>Updates</b>: True<br>\n",
       "</p>\n",
       "<style type=\"text/css\">\n",
       ".tg  {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n",
       ".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
       ".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
       ".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n",
       ".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n",
       "</style>\n",
       "<table class=\"tg\">\n",
       "<tr>\n",
       "  <th><b>OMGP.</b></th>\n",
       "  <th><b>Value</b></th>\n",
       "  <th><b>Constraint</b></th>\n",
       "  <th><b>Prior</b></th>\n",
       "  <th><b>Tied to</b></th>\n",
       "</tr>\n",
       "<tr><td class=tg-left>variance          </td><td class=tg-right>0.322524350505</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>Noise.variance    </td><td class=tg-right> 8.84138047261</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>Signal.variance   </td><td class=tg-right> 3.02502159938</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>Signal.lengthscale</td><td class=tg-right> 1.50887475231</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<GPclust.OMGP.OMGP at 0x108535350>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAApEAAAFwCAYAAADg2yBxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd8VGXWwPHfmZ7eQ4CEEnpHOgqKHXtdy1p3bWvvvWHB\n",
       "suradV113bXs+uoqdrAgKDaKICIECJ1ACIT0NsnMPO8fd4IxhpA2TBLO9/MZkjtz73PPDZnMuU8V\n",
       "YwxKKaWUUko1hy3cASillFJKqY5Hk0illFJKKdVsmkQqpZRSSqlm0yRSKaWUUko1myaRSimllFKq\n",
       "2TSJVEoppZRSzdbqJFJE/ikieSKyrM5z00QkR0SWBB9TW3sepZRSSql9VUP5VgP7PCUi2SKyVET2\n",
       "C3VMbVET+QpQP0k0wN+MMfsFH7Pa4DxKKaWUUvuqhvKtXUTkaKCvMaYfcDHwfKgDanUSaYyZBxQ2\n",
       "8JK0tmyllFJKKdVovlXreODfwX3nA/Ei0iWUMYWyT+SVwerUl0UkPoTnUUoppZTa13UHNtfZzgHS\n",
       "Q3nCUCWRzwO9gZFALvBYiM6jlFJKKaUs9VuBQ7q2tSMUhRpjttd+LyIvAR/W30dEdNFupZRSSrU5\n",
       "Y0zYu9S1RZ7TzOvYAmTU2U4PPhcyIUkiRaSrMSY3uHkS0OBIovbwn9yRiMg0Y8y0cMfRkejPrHn0\n",
       "59V8+jNrHv15NZ/+zJqnPVVSOUf+qcXH1vz0SnMP+QC4AnhTRCYARcaYvBYH0AStTiJF5L/AQUCy\n",
       "iGwG7gamiMhIrGrU9cAlrT2PUkoppVRHIjZ725XVcL7lBDDGvGCM+UREjhaRNUA50PIMtolanUQa\n",
       "Y85s4Ol/trZcpZRSSqmOrC2TyN3kW/X3uaLNTtgEIWnOViEzN9wBdEBzwx1ABzM33AF0QHPDHUAH\n",
       "MzfcAXRAc8MdgGqZtkwi2yMxJjxdB0TEaJ9IpZRSSrWl9pJfiIjxjLusxcdXLXiu3Y8d0ZpIpZRS\n",
       "SqkQ6Ow1kZpEKqWUUkqFgNg1iVRKKaWUUs1k6+Q1kaFc9lAppZRSSnVSWhOplFJKKRUC2idSKaWU\n",
       "Uko1myaRSimllFKq2cTWuXsNdu6rU0oppZRSIaE1kUoppZRSIaDN2UoppZRSqtk0iVRKKaWUUs2m\n",
       "SaRSSimllGq2zr5ijQ6sUUoppZRSzaY1kUoppZRSIaDN2UoppZRSqtk0iVRKKaWUUs1m6+RJpPaJ\n",
       "VEoppZRSzaY1kUoppZRSIaDN2UoppZRSqtk0iVRKKaWUUs3W2ZNI7ROplFJKKaWaTWsilVJKKaVC\n",
       "oLPXRGoSqZRSSikVAp09idTmbKWUUkqpEBC7vcWPBssTmSoiK0UkW0RubuD1BBGZISJLRWS+iAwJ\n",
       "5fVpEqmUUkop1c6JiB14BpgKDAbOFJFB9Xa7DVhsjBkBnAs8GcqYNIlUSimllAoBsdlb/GjAOGCN\n",
       "MWaDMaYGeBM4od4+g4A5AMaYVUAvEUkJ1fVpEqmUUkopFQJtnER2BzbX2c4JPlfXUuBkABEZB/QE\n",
       "0kNwaYAOrFFKKaWUConmDKyp3Lqcqtzlje1imlDMQ8CTIrIEWAYsAfxNDqKZNIlUSimllAqziG5D\n",
       "iOj26ziY4sVv199lC5BRZzsDqzZyF2NMKfDn2m0RWQ+sa+tYa2kSqZRSSikVAjabtGVxi4B+ItIL\n",
       "2AqcDpxZdwcRiQMqjTHVInIR8JUxpqwtg6hLk0illFJKqRCQNkwijTE+EbkC+BSwAy8bY7JE5JLg\n",
       "6y9gjdr+l4gY4BfggjYLoAGaRCqllFJKhYBIm9ZEYoyZCcys99wLdb7/HhjQpidthCaRSimllFIh\n",
       "0MbN2e2OTvGjlFJKKaWaTWsilVJKKaVCoC37RLZHmkQqpZRSSoWAJpFKKaWUUqrZbG08sKa90T6R\n",
       "SimllFKq2bQmUimllFIqBLQ5WymllFJKNZsmkUoppZRSqtl0nkillFJKKaXq0ZpIpZRSSqkQkE5e\n",
       "VadJpFJKKdUGRKQHEAesMsZUhzseFX5tvXZ2e6NJpFJKKdVKtqiUJ2xdR58hzqjIQEH2ShGZaowp\n",
       "CHdcKry0T+QeiMg/RSRPRJbVeS5RRD4XkdUi8pmIxLf2PEoppVR7JCJDJbHvefYuw7vYEvvE2Hsd\n",
       "PFYiUx4Pd1xKhVpbtNa/Akyt99wtwOfGmP7A7OC2Ukop1fnYHF3FHR9buykON9icCeEMSbUPYpMW\n",
       "PzqCVieRxph5QGG9p48H/h38/t/Aia09j1JKKdUuBXwLAztXZhsTsDaL1hcbX+VHYY5KtQOdPYkM\n",
       "VZ/ILsaYvOD3eUCXEJ1HKaWUCitjTJE43Mf71376N2xOt6ku+9BUFvwj3HGp8Ovsa2eHfGCNMcaI\n",
       "iAn1eZRSSqlwMT7vauDYcMeh2peOUqPYUqFKIvNEJM0Ys01EugLbG9pJRKbV2ZxrjJkboniUUkop\n",
       "1QmJyBRgSpjD2CeFKon8ADgPeDj49b2GdjLGTAvR+ZVSSim1DwhWQM2t3RaRu8MWTD1aE7kHIvJf\n",
       "4CAgWUQ2A3cBDwFvicgFwAbgtNaeRymllFKqI+ns80S2Ook0xpy5m5cOa23ZSimllFIdVWdfsaaT\n",
       "r+qolFJKKaVCQZc9VEoppZQKAenkVXWd/PKUUkqp5hGRGBFJls7eFqlCzmaTFj8aIiJTRWSliGSL\n",
       "yM0NvJ4sIrNE5CcR+UVEzg/p9YWycKVaSkRsIjJGRMaJiNaYK6X2CltU6mO21GHL7V1HL5Wo1I9E\n",
       "xBXumFTH1ZYr1oiIHXgGa6npwcCZIjKo3m5XAEuMMSOxpj16LJSfofrhrNodEXFKVJeP7F2GTUJs\n",
       "Nn/ezz+IyFRjjDfcsSmlOi9xuPe3p0+40J7UPxbAltini2/dF9OA28IbmVIAjAPWGGM2AIjIm8AJ\n",
       "QFadfXKB4cHvY4GdxhhfqALSJFK1O+KOu9jR44BDbFEpDgDxJBzoW/vZdcCDYQ5NKdWZOTzDJDIl\n",
       "tnZT3LF2bM7McIakOrY27hHRHdhcZzsHGF9vnxeBL0VkKxBDiKdY1OZs1f7YHN3FFb3rBkdcUTZs\n",
       "9m7hDEkptQ+oLvsssHN1jjHWSr2BwvXF+L2fhDkq1YG1cZ/IpiwhfRvwkzGmGzASeFZEYtrymurS\n",
       "mkjV7pia8n/7tv54lqPHAT0A/FsX5ZiaipfDHZdSqnMzAf968cRdbKqKbhO702aqij4MVBa+Gu64\n",
       "VMfVnBVrCrOXUJi9pLFdtgAZdbYzsGoj69ofmA5gjFkrIuuBAcCiJgfSDFJ7x7W3iYgxxujIN9Ug\n",
       "cceMF3fs7SBivMWPGG/p1+GOSSmlVPvXXvILETGHPj2vxcfPvnIyda8jOEBmFXAosBVYAJxpjMmq\n",
       "s8/fgGJjzD0i0gX4ERhujClocSCN0JpI1S4Zb+l84Phwx6GUUkq1lL0Nlz00xvhE5ArgU8AOvGyM\n",
       "yRKRS4KvvwA8ALwiIkuxuizeFKoEEjSJVEoppZQKibZMIgGMMTOBmfWee6HO9/nAcW160kZoEqmU\n",
       "UkopFQJtnUS2N5pEKqWUUkqFQGdPInWKH6WUUkop1WxaE6mUUkopFQKdvSZSk0illFJKqRBwaBKp\n",
       "lFKqucQZMUgiEp8Wu9tjqku/NxX5NxtjAuGOSym192hNpFJKqWYRkWiJ7/WOo/chg0RsBMryxvg3\n",
       "f1cJ3BXu2JRSqq1oEqmUUm1vgD2hT08Ra+yiLbqL2++KmhjmmJRSe5nWRCql9gnBJbVGAwHgR216\n",
       "bZXcQEV+oS2hdySA8VeDz7sz3EEppfYuu61zT4KjSaRSChHxSFTqp7aUoeMwgUBgx/J5InKsMcYX\n",
       "7tg6ImPMVltk8uO+QM2V4o6NCBRt3GDK864Id1xKqb1LayKVUp2fJ/4me4/Jk8Uda/3Fc0Uf5t/0\n",
       "9QXAC40fqHYnUJH/mIj8A4gHthpj/OGOSSml2pImkR2ILTLpMvHEnwtgqgpfClQUvBTumFQnIbau\n",
       "OCN33TKLK8qO2LuFM6TOwBhTCpSGOw6lVHhoTaRqF8QTd7ijy/B77alDkgB8eT9nijt2lfGWzAt3\n",
       "bKoT8HlfDOQuOc7WbUx3gMC2nzZSU/5auMNSSqmOTJNI1S6I3XWiLal/Uu22PWlASiB/9fGAJpGq\n",
       "1Ux12WJxx5xtKndeB8YYb8l9xuddE+64lFKqI7OLJpGqPQj4fjIVO6okppsHwJRvryBQ81O4w1Kd\n",
       "h/GWzgXmhjkMpZRSHYQmkR2EqSp6ybf5h8m22G5TMIZAae5nxlvyn70dh4g4JbrLP20RSSONr9Jr\n",
       "KovuCFQWzNrbcSillFLtnTZnq3bBGGOAc0UkOrhZHo44JCr1YVefw8+wRSQ4jDHUrJ/zrIiMN8bk\n",
       "hyMepZRSqr3SJFK1K8aYsnCeX5yRg20RCQ4AEcGekJnh3768H6BJpFJKKVWHQ5NIpX5laio3GG+p\n",
       "EXeMAARKcnKB9WEOSymllGp3tCZSqTpMed611dmfpktUyiB8ld5AZcGDxpht4Y5LKaWUUnuXJpGq\n",
       "WYwxlcCxImLXFTiUUkqp3dOaSKUaoAmkUkop1ThNIpVSSimlVLN19iTSFu4AlFJKKaVUx6M1kUop\n",
       "pZRSIaA1kUoppZRSqtnsNmnxoyEiMlVEVopItojc3MDrN4jIkuBjmYj4RCQ+VNenNZFKKaWUUiHQ\n",
       "ljWRImIHngEOA7YAC0XkA2NMVu0+xphHgUeD+x8LXGOMKWqzIOrRmkillFJKqfZvHLDGGLPBGFMD\n",
       "vAmc0Mj+fwT+21iBInKViCS0NCBNIpVSSimlQqCNm7O7A5vrbOcEn/sdEYkEjgTe2UOIXbBqNN8K\n",
       "NpU3q+pUm7OVUkoppUKgOc3Z2Yt/YM2S+Y3tYppx6uOAb/bUlG2MuV1E7gSOAM4HnhGRt4CXjTFr\n",
       "93QSTSKVUkoppUKgOUnkwDETGThm4q7tT195qv4uW4CMOtsZWLWRDTmDPTRl1zLGBERkG5AH+IEE\n",
       "4H8i8oUx5sbGjtXmbKWUUkqp9m8R0E9EeomICzgd+KD+TiISBxwIvL+nAkXkahH5Efgr8C0w1Bhz\n",
       "KTAaOHlPx2tNpFJKKaVUCNib18WwUcYYn4hcAXwK2LGanLNE5JLg6y8Edz0R+NQYU9mEYhOBk40x\n",
       "G+udKyAix+3pYE0ilVJKKaVCwNaGSSSAMWYmMLPecy/U2/438O8mFtmnfgIpIq8ZY84xxqzY08Ga\n",
       "RCqlfkNEYiQi8X5sjmTjq/qXqSr+PNwxKaVUR2Rv/wvWDKm7ISIOrKbsJtEkUim1i4i4JDrtM0fv\n",
       "QybgiCCQt/Qw8cRfYqqK3gt3bEp1FLaIxNNxuE7E71tvKndOM8ZUhzsmFR62drrsoYjcBtwKRIhI\n",
       "aZ2XaoB/NLWckCaRIrIBKMEa7VNjjBkXyvMppVptP3vq0P3EGQmAPW1kaqA090KgwyWRIuLBGXkC\n",
       "INRUfGCMqQh3TKrzs0UmX+XoNmqaLal/gvGWBGrWfTFKRI4yxjRnehalQsoY8wDwgIg8ZIy5paXl\n",
       "hLom0gBTjDEFIT6PUqptVBl/dTXgBjAmAMbvD3NMzSYikRLd9Qt7tzETEBH/loULReRQY0zpno9W\n",
       "quXEE3eqPXlAQvB7mz2hz0hfWV4akBvm0FQYtOXAmrYkIgONMSuBt0VkVP3XjTGLm1LO3mjObp8/\n",
       "QaVUQ34O7Mj6TBwRx4or2u3PW7rWVBbeFu6gms0Tf7mjxwETxBMvANLroLG+NZ/eANwd3sBUpxfw\n",
       "B4wx1C78YfxeP+ANb1AqXNp6YE0buh64CHiMhicxP7gpheyNmsgvRMQPvGCMeTHE51NKtYIxxojI\n",
       "H3wbvz4Wu7M73pL3jTEdrgZFxBaL3fXrX2+7C8QWG8aQ1D7CVBVN9236LtOeOijDVOwsCxRvfk9b\n",
       "4/Zd7XVgjTHmouDXKa0pJ9RJ5AHGmFwRSQE+F5GVxph5IT6nUqoVgn23Pgx3HK1hqopf8OfMP8Pe\n",
       "88C+iODf/P064y15Otxxqc4vUFX0udjsBwWKNx5lfFVZpqZyTrhjUqo+ETmFRpZRNMa825RyQppE\n",
       "1tZgGGN2iMgMYBywK4kUkWl1dp9rjJkbyniUUvsGE/DliN11pFn90T2AGG/xfcZfvS7ccal9gwn4\n",
       "1wPPhTuOfYWITAGmhDmMBrXX0dlYa2s3NtirSUmkhGrAmIhEAnZjTKmIRAGfAfcYYz4Lvm6MMe32\n",
       "p7svccR1v80enfpHxCb+0m0f+4q33BTumJRSSqmWaC/5hYiY/1u6pcXHnz6iO+3hOhoTyprILsCM\n",
       "YOdiB/BGbQKp2g97RPwhEX0PvsGdMSYBoDovq4c9OnWpv2z7G+GOTSmllOrI2mufSBE52xjzuohc\n",
       "j1UjKXW/GmP+1pRyQpZEGmPWAyNDVb5qG+KMmOJMHZhQu+1M6R8ta+YcDGgSqZRSSnVOUcGvMfy2\n",
       "WVtovJn7N3TFmn2cqamcV7NjdZE7fVQ8QM3OtWXGX62Dn5RSSqlWaq9T/NSut22MmdaacjSJ3Mf5\n",
       "K4s+d8R1f6KmYP0ZIjbxleTOCpTnvxruuJRSSqmOzt5+B9YAICJ9gCeAiVg1kN8B1xpjmjQQUZNI\n",
       "ha94yz3APeGOQymllOpM2mtNZB3/AZ4BTg5unw78FxjflINtIQpKKaXUPiq6W5+LE/qPfi+2x8AX\n",
       "RUQneVeq/YowxrxmjKkJPl4HPE09WGsilVJKtZno7n2v73nk+XenDD8wprqsiBX/unuwiBxojOlw\n",
       "a7Ar1VrteHR2ItYgmpkicitW7SNYNZEzm1qOJpFKKaXaTERSt2NThh8YA+CKjqfL6MMGFq9b2htY\n",
       "E+bQlNrr2nFz9mJ+Owr74uDX2tHZtzSlEE0iVYcSlZA8PCk9816bw2Ev2b7l2YItG2eF8nxiTXSa\n",
       "BBQZY3yhPJdqG7bIpKvEHXuSCfh8pqroDuMtnR/umPYlPm9FjQn4EZsdAG9xfhVQFt6olAqP9jqw\n",
       "xhjTqy3K0SRShZWI2AA71t1PY+82n93p6jrowKNmHHnFvZlis/Hdm8+PSeja4/TC3E1fhyQ2uzPd\n",
       "3XXoe560AV1riraWuRIybqsu3PxOKM6l2oYtIvEce9f97rEn9Ys3xuDb+FUfETmgdgnWppcTf4y4\n",
       "469FwFQVPx+oLNT/9yaq2LbhplVvPvx214nH9S3PXVdUkDX/TWPMtnDHpVQ4tNMc8jdEZCgwmDp9\n",
       "IY0xTZqlRZNIFXLBRNEJOKLBngauePC4wXkE2JNAIoLV6rZgImmvU81eAxQCP8Ym/mnUISdmVpcU\n",
       "IA4XY044N23NgjkXi8i3oehv5U7t91LKodeMFrsLgJ3z/v6giHxojKlu63OpNuLwHG9P6hcPICLY\n",
       "U4b0DhTnTOHX/j57JK7oEfbkAS840sd3FxF8W38cKu6YbcZb+m2owu4IRMSB9T62AbZUsMeCwwk2\n",
       "Dzhcwc+TIbB946LPjsn6ed5+3urKjcAyEfEAAaDGhGqtXaVUs4nINOAgYAjwMXAU8A2gSaQKDxGx\n",
       "A64U8GRA9BHg7g0kgSRBIAYC8eDvBt4mDwEDrq3xbrIX7qiJTunqNJWVlBblk1hWWjUWeo8VqVoJ\n",
       "JWVQ1VZJnj0iLr42gQRwJmTEAImA1qq0V4Gabaa6HHFZizGYyoIyfJVNmu+sljg9ZzjSRnQPLtmK\n",
       "PW1EF3/B2rOAfSaJDHbjcAKuQRCZCFGngqM7EAcmCvBAwAlEQCAKAtFWkkghOMuhprK6cmEJ2Mqh\n",
       "azlQApIDgVEildlQVgbVQLUxJhC2C1UqxOztt09krVOBEcBiY8yfRKQLzVixTpNI1WrBmkZPOkRk\n",
       "QMwJ4OwFZIK/J9SkQ0VbnOeeksKPbvjfyydXHnHKJKcnwr585ls/X56X8+BEqFwHjrWQshJsk0R8\n",
       "eVC6xjpvVUs/pHxl+St9ZfnjHNHJYvw+vLkrtgHb2+JaVGiYivxbatZ9Mdye1G+IqamsDhRvfNcE\n",
       "/M3rE+n3rfEXrKsxNeVOsTmQ6DQfAX+nHxQiIo5oiOwDMYeCpydIOpAO/j5QHQfeppSTGkwmd2cV\n",
       "ODdBymawrQEzWsSbA6XbrfdqVZtcjFLtRDseWFOr0hjjFxGfiMRhfcZlNPVgCVfLgogYY0y7/+mq\n",
       "hgVrGz1DIbYbRA0F+kKgF1Tv6UOkNbzAdBhaA64LYFlfq7WbbyByLmSMhG2ToWQVuNeALQtkFRSt\n",
       "gxJjTJM+BGuJiMeV0vcfjuiUgf7K4pLq/HUXBWoq14fiuvZlIhIhnvjLEFusqSr+hwn4trSyPDvQ\n",
       "C6hobl9IAJsnfqotqd8MZ8YED74qvKtnFpnSLenGmPLWxNUeBW8AI/aDuB4QNQoCg6AmE/baILIc\n",
       "sK8FV5b1fvVlQ+F2KDfG1OytGFTn0l7yCxEx367Pb/HxB/ROJtTXISLPAbdjTe1zPVAOLDHG/KlJ\n",
       "x2sSqZoq2CfKMwLi0iFiGDAAfL9AzKKemX8yJuA7fNOGfx4FJY2Vkwv2/0JGDyg+1eru2CoPJyaN\n",
       "8o0c/cTIAw7qsnrpkp1Fixc8fE/OpvdrX18Anu/AsQzKl1rnq9R+WeEhdldvccecT8C/3XiLXwRE\n",
       "orvOcfScPEHsLvHlfL8mULTpSOOvblYTdFuyx2W85xp04gm1zdm+oo2+mlUfH24CvrnhiqmtiYgn\n",
       "HaIGQPwosA2GmmFW83KzPQPpZeC5ENYlt/IGcjvYloL7R7Ctg6rFv75fdY5J1WTtJb/oCElkXSLS\n",
       "C4g1xvzc1GO0OVs1qramYgTEnwCRI8AMgJoBwSbqNyA5a/+D3r7g2tv6B3x+Xn/03qPsP/5w6hFQ\n",
       "2lB5/4OEZWPHv37QkUf33LJpY+VdP3z7xr2rVz3RmhjL+g2Ydv20v/ax2WxMPvK46KfuvP46b86m\n",
       "993AEivprRqH1Yy2ALovBl+MyM4yq7ZDP5z2EnFGDrMlZL7v6D62t6mp9Ps2f3OyqSr5hyN93Hhb\n",
       "RIIAOHod3Ldm1Qf3AOeELVDj92ECINYUNeKvrsH426RLRjgF+zlGTYTkC8E5DPyjobI5/ZLr8gLT\n",
       "Bg15bOLUow+PjYt3/G3G/7JOWrrkrLHQ4ibpVAgcDpWHA+vAsRjSFgMDRUpXQbE2d6uOpq2bs0Vk\n",
       "KtZa13bgJWPMww3sMwV4HKtfc74xZkoj5QnWkoeTsAa0zgM0iVStU1tTcWiwpmIkVA+wqrl/Y1Hv\n",
       "vldcftM9/aPi4gA485pbh75665XnHJGz6bmGyl0ybPj06U88MzIyOgYg4dXnnz33udWr3r4MWtyE\n",
       "GZuQ7LHZfl3BMzGli+cJl2tgbt8B/41LSIh+s6KyMCln4+U37di+cADUHAm2HyD1ByBVZOcOq6lb\n",
       "k8kQE0/c3Y5eB/YWsSGuKLs9bb/JvvVz5oGt/vKrYV2ONVBRcGvN2s+HO7qP62eqy6prcn/6HFgY\n",
       "zphao27yOAmcB0BVegtrHcG6MXtnyJD7jcs97LjTzxp4yJHHOADGTJw0/r7LLrzVtzb7oV8g/nTY\n",
       "FvvbyYybJRN8meDLTkjaL7VX34czkrrEDhw2OnfNqmWn+aqrN7a0XKX2prYcWBPsqvMMcBjWZ+ZC\n",
       "EfnAGJNVZ5944FngSGNMjogk76HY54A+WDNYCHCJiBxujLmsKTFpEql2qe1YPwwS69ZUvOqJyHhp\n",
       "4NCnk7p2S8jfkpM/bPlPl53n9+fVHlZ3Iiyx2ay5VXYjKiYuLphAApA5cGD8YkilFUnk9g1rV2/L\n",
       "2TQoLb2HrbS4kA1Zv2wMDBryzm33PhzfpVt3vvjkg8hZ7779HDu2jwWrtuN4qDgCmA2JX0NirMj2\n",
       "UijTZu5QEqk7FaiITfDXzPdtmb/I2WvKGBxufJu+XW+8JfeHMUiMrypbRCYHyrafYAI1edRUfNgR\n",
       "fy+CyWPkREgZB86Dd5M83tWz15k10bGHB6oqN5+9NvuBYXsYQPPu8BFP3fHok0cv++lHSc/sv+v5\n",
       "5NQuYiIixq/4wxlzevbqFfH43DmbBy2cf+5pUFC/jBKQh/sNuCWuW7eRpUVFJQOXLrn1LPhdu58X\n",
       "KOgz8NHz7npsoIhQXlqc8cq9178+UuSMpVBgjKls0Q9nL7BHJh4u7pi/EPBX+cu23WT8revrqzqm\n",
       "Nq6JHAesMcZsABCRN4ETgKw6+/wReMcYkwNgjNlTe/rBwODaAagi8i9gRVMD0iSyE/Ek9zjTndjj\n",
       "OnG6bN78jZ9VbV93W1M+/EQkoj/EnQAxY8CMhqrUOh822QOHPnfpQ0+PcjqceL1VfV+49apn+fnH\n",
       "UwGc5aUr33h0WmVaRs+IlIxMFnwxK+vgzRtf3925yrflzl88/4cJo8ZP8Phqavj8g3c3HQGra19/\n",
       "EnrkpaaOjSkoWHGrz5fVUBkfQdwKSD4eNr/dPf0wlx3bc3ffuCIhObW0vLAgL3rFsmdGXHfLrLTu\n",
       "6QAcfswJLPzm66SV4BpY57o8wDFQORZscyBtLlSLyPb2/MHUkZnq0r/6Nn871pE+IYOaCuPLXTIf\n",
       "ArNN6dZvatbMugkkzlSXPWV8VXscCS0iURKV8qjY3d2Nr3Keqdj5aFsmesaYPOAfbVXe3tTU5BHg\n",
       "hoyeN6QOGHzVgCFD7Ntzc3nF5Zr0YNbyQ92NlJ/ep1+/tK5dxWYbw5uvv8aFV16HzWbjg7f+U9g1\n",
       "I6P7zXffmwhw/Cl/SL7pkgsePG3pT5fUL+Ph/gPv+Mtd9/1p0LDh7oqKcu6+5rLu+fN/OLZ+n8qF\n",
       "EJnau09s7X1pVEwcXdO6x/9h5TLnt5A+WqRqMew0xrSr7gb2yKTDnGlDX3X3npxGwEfFL++NFJFJ\n",
       "xphW9wFX+7TuwOY62znA+Hr79AOcIjIHiAGeNMa81kiZa4AewIbgdg+asUSpJpGdhM3pGZg89qTH\n",
       "Uvc/qytA2frFA7Z99fJG4O8N7S8i9miIGgaJl4FzJPhGNdBc7QVS0nskOR1OAFYs+JbImOjhtw4a\n",
       "8phr86b/jTvltJvO/cvlEQBvvPRChWPdyoeOheLdxXnXujVP3fvX6a4Pe/SYWFZcUpW0fNldU4Ln\n",
       "vT8j45hBU4+698JjjklbtGBB4bS3337BtXXLvIrExBEJO3Z8f31V1er7+vY9L3PCxMsOGTgoZsZn\n",
       "n1aMHjUNiR1oAAAgAElEQVQ68oKL/xKXu3Vr4M7rrv72jhXLrpgBKaWlxX6Cv9/GGEpLi6sH7uaD\n",
       "NBUCp0P5WHDMhIwBIiWrrQ8mHR3ahoy3dL44PKfUlOZeijGbTFXhw8E5PauBO5tajoiIRKd94Op7\n",
       "5CHiisJfsuUw36bvEoFbQxZ8ByEinv0g9UBwN5Y81vKkdT3/prvvsde2Djx2/939n81a3uu6Xz9Q\n",
       "fqdw544qYwypXdI48qhjuPXKi8s9dsfivOzV88+57oZLa/eLjo4hNiEhrqEyknr0HDVo2HA3QGRk\n",
       "FBOnHJbx1vwfutbv1jIWKt5du7rA7/d1s9sdVJaVUJy3NXcYVA+D6lXg/Ba6B5PJHe2lz6S4Ii9y\n",
       "956cJiJgd+LpPWlweWnukcCb4Y5N7V32tu2c05QbZScwCjgUiAS+F5EfjDHZdXcSkQ+D38YAWSKy\n",
       "IFj+OJrRfUeTyE7CGZM0JW7AgV1rt6N7j4qy/fDmFOolkSLiyYSYYyBuNDChXq1jfW4gf2tOod/v\n",
       "7/njnE/JSE7g4WdeiCouKjrj7usun3LMKael1u576tnnRc6f9ckhFBR80Vh509dkP8qa7N+9FtV/\n",
       "wGXX3HBTGsDAQUMSvv3660umnHnmJeMn7p/w+axPtt81Y8ZjfceMu/TmO+9OBzjmhBPjnnricUSE\n",
       "bt272w4/7vghr/68tPsVkHPT13M+/Cqz70l9Bgyyz/jPq17f6lU37elnmAm+y6FsNER8Dr1SRfJ3\n",
       "WJ35dTLkNmCLSrnNltT3YnFGuQPFm1YBj7awqER7XI+BtROK22O7R/gj4qe0VZwdkYjYu0PCmZBw\n",
       "7G76LzckMjrKU7d7SZ/+A23veTzjqarasNtzrVp173233PDw2AMmp/y0cMFO18YN99y6JefzheD5\n",
       "ctbHxx925NT+druDrOXLqotzc5c2VEZJYWFlTXU1Tpc1mf/mjRsqBjRw8+kGemT9fNnrd1/7WGxK\n",
       "alzh1s1bD8/6+era14OD/GoOAOdM6DFQpHiV1cwd3htA4y/HXw0Oq043UF1ebfzVv2vWV51fc5qz\n",
       "F343j0Xff9PYLlv47RyOGVi1kXVtxhpMUwlUisjXWJOJ1//Qfazedm2CKjSjL7MmkZ2Er7xocXnO\n",
       "L4XupIwEgKr8jb5AdcUK2DXCOnIsJJ0HrvHgHw4VTR2Vmb5y2VXP33blk7HxcYPOevQpD0BcfDyH\n",
       "HXdC7MJvv/FOPfEkN8D67NXVNm/l77PD3bNhvQn6AnFjt+cll739f+DzY3w+Di4pjjvK67Ux50vO\n",
       "7pWZWtIl7dKMbt2iag92uly4XM5dhZWWlvhiggnxfatWXn3fg/e+64uNzczYuvWLhwP+zfVPvjsT\n",
       "wDsSvLMhcRbEici29lLD0VGJSF9793FXO7rulwpgkgem1ayZ9ThwUQuKqzA1FbuSBGMM+Lz7bK2x\n",
       "iEQfCl0OAw5vYvJYa0fu1oKcjRu7p/fsScDv56eF87EnJAyd5na7ItPTj6gsK6/sueznu873+3et\n",
       "0nRz3rbvv/nko6lzPvkofTxsPRTKAMZC1fz5P1x43YV/mh4bH+/ZsWnjTzetWvlQQ+dNWf7z7dNu\n",
       "uOqlg444On3tqqySzYsWvHhBsJz6rqmsWMvSBSc2dh21yeQ3EDUHYsN9A+gvyb254pcZo9y99h9u\n",
       "aiqrvRu+/xSfd7c316rzak6XyHEHTGbcAZN3bf/9b78beL0I6Becimcr1tyOZ9bb533gmeAgHDdW\n",
       "c/ff6hdkjJn7a4ySBozFSh4XGGOavKiGzhPZiUSk9bvbk9L7XLs70l6xJWtB5bbV56RA5HBIHAW2\n",
       "seBtzSTCd40a+/oDL7xysMNh3Xu8+vdntn//xazFk6ceM8pmt/HDF58vum3FLxc3MCLTBvTH6qvR\n",
       "Dytp7AdkUmfB96aS+HicPXtSHhtrFmzYWDP2nHNda6NjKv77+qvv3bti+Y0vulzp24aPmB4TFxe1\n",
       "c/OmH29cvfqhlo4SXQeOd8DzJezYAUUdcYBFeyA2+yHOfkd/bovtvqtxp3r1Jx8Fijcd15LybFGp\n",
       "d9iT+l5li+6S7M9ftT5QknNeoKqk0Vv4zkZEXIMh+RCIPhoqWjLJ/63dM87vNnrMvZ7ISPv2vG1k\n",
       "9uppqioqvCNHjXKceNLJjsrKSm646oqsyV99ddxE6z3UD2vpz3ggIfi17iOANUAmH9gB7KzzfT51\n",
       "5oVdAp6PoFdf2HGmtV+bqAJmQ8SXYL6yVt8oD8f7VkSicXim4K8uwQS+0RaNvae95BciYn7eWtTi\n",
       "44d3i//dPJEichS/TvHzsjHmQRG5BMAY80JwnxuAP2G9H180xjzVSIynAY8AXwWfOhC40RjzdlNi\n",
       "1CSykwnefUQPhqjBEDUe/BOhqqVzwdX1ZEzMAN/EyS8de/ofe29Ys7rkq3fffuuBVVnT3oBkH9jO\n",
       "gO11OuQnA1OAQ7B+KRN2U+w2rGr2nQZqNrk9fSoiPMm26uoir8MRNWjKlF6JiYn27UuX+quXLSuO\n",
       "9fkipYHEMwB+ge+qYc5rY8b88fZX/t3X5XLz0+IfvU9Nu+vv96xa9deWXncV8AlEzQTvEshr7so3\n",
       "4RKcHD4Fq2ljtzV1ItJVIpOuxJhKU1nwpDGm0cniWxhLsi2p//eOXlP6igiB0q2Vvk3f3ROoyP/d\n",
       "rXYzyhyAzdGLgO+n4ECYDkdEkiK6DXrBERmfXFOav7wqL/uaPTXFiogtBeL2h+RjrL7MLfp9fDQl\n",
       "dawZMviBlLRuPVatWuU69/zznUdMPUqefuJxrr72WnzbcvEuXsy6Dz8I2GfPXhNl3fS1tvUqB5hf\n",
       "5xGy5SS3g+1TiPgOqhda71ttTdhHtJf8QkTML1t3O0Rgj4Z2i9sbK9b8DBxWW/soIinAbGPM8CYd\n",
       "r0lk51A7Pc8QSBoNjrGtWIGiMTMg4Tu3Z0Sst2rbnbCyzkt2rM68BwfgUBsMrXfoFmA51odGdvCx\n",
       "ht1MSg7WNCCPZGZeYYuOHkRJyfzbNmz4dzBJTcVa1q4X0Burun4sdeYXdGT2IWLKwXgOOYTbX/rH\n",
       "t9fMnXtaa64bYBm43gPnbMgrg9L2XCtpc0ePsEWlvmGLS08OlG4rDFTkXxmo+H1fVbE50m0JvWe7\n",
       "eh/U3/h91KybvThQkjPFGLPb/5emCq7DWlGbFIk7Zrx4Eh4Wh9tlqoq+MhX5TZo9oLMSEYlMH/pN\n",
       "xvG37293R+Et3OLfOuvx1ypyV+12uTERcY+FtKPAeUQzuqTU5wWePvjgL594/h8DRIR33n6LMQMG\n",
       "kLR8Octef5UeZWUEtm37zTEGAmLNpLAdq0axqIGHDevGJbnOo3a7K1ZH/7oKgAVYCeW3WH8jGpUP\n",
       "tr9lZl5ti4ruZy8u/vqeTRsbHayyyuov6Z4DBVugUOeE7fzaS34hImZ5bsuTyCFd90oSuQwYXvu3\n",
       "ONj9bakxZliTjtcksmMTEc8AiOsLMePAjAVvKNeubsBA4AzgFKxmLgCMy4Vn/AQcEyfy+KezVp2x\n",
       "dOmhrZl4uAnigSlVcKzN6Zrqqqne9btV4nRWxNbUPIA1MnKP0/esAedXkHQY5Pes1/xfBbwPUbOg\n",
       "cplVu9Eu++LZE3p95x58wkQRG8YYqld+9Itv55rf/VGwRae+4B58ysVit/qWBiryqV4987JAZeHz\n",
       "LT23iMRIdNcPbLHd+1Jd5g1U5D8ZKN/xdCsup1MSkbjkCWcsT534x+61z22Z+bdFRVlzxjawr0RD\n",
       "zBGQdgp4BwTXjG+puRBVfMmlcy+/6upuVd/MI/+N1/F/Mw974Nc/Hf6ICApTUmqW+/01qYceGsgK\n",
       "UPrzwgWvTlu1crdNY3tgAwZhjf4ch3Xz16XePiuBt4F3sJrAf+e2IUNfuOG+B6f27T/A8dXsz2r+\n",
       "9exT3z2wevUf609LdKfdvl9VdEz6qOKi786EnZ9DxBfAbOt922D/S9U5tJf8QkRM1raWJ5GD0vZK\n",
       "EvkI1sCb/2ANqjkd+NkYs8fBqKADazokEbHHQORQSLoQnOOsJq29OU9aLHAiVvI4os7z64E5s0bu\n",
       "N/nP/3q1ny0iAoDegUDC+0uXJp+zmw+FNlIEvOeB9x7o1fOK/XtnXjSwtDQm8sdFttjq6kjgfuAG\n",
       "4FXgFazalN95pEvaeBk6/K9DRu4X93+LFxbal/183fX5+UtqX/cAp0N5X3DNgB7BQTfNGsywN4gr\n",
       "Osa6obTmfhd3TLSI2PdcCyO7/mnxuaO6POnqd+QUcVqVTjU5828RkRm1k9+qXcprirbtet+agB9f\n",
       "ZdHvbnJExDEYUo+E6FOgrLb28fbefS6N7937iMrKSr9rTfYjt+zYPr+pJ54M6Uvfm+Ha+r+3Cey0\n",
       "5iK2ATkxMYXrU1MLNhYXf7QyP3+2iY279tl/vXZwZFQUh0L0c089cf7Lq1a+dYHVDaW5Alg1jcux\n",
       "3oMAPbESygnAEVg3pXcCtwFzgbeAzwk22S8D9+DRY0f27T/AAXDQoUc4f1ywYPJ9Yrvn/lUr7649\n",
       "0c0DBj90yOlnndS9V2b0zLfe2PC3776+6LqSkhUjwDYIuo0UKV9qTQnU5q01StXVxqsetqngnLJP\n",
       "Y7XkHRB8+gVjzIymlqFJZAcjIhFHQfpYMKPA25rly5p7amB/rMTxaH7tl1gCvItVy7cMYJHT+d9z\n",
       "7bZ+ruAOa1dnl09pZO7ItnZbdvYzM7Kz33gdEk6BLbHWElGXAKOBq4C/BGP+B7Cq7rG+/gPuHTt+\n",
       "fN/CnfmMmzQl5Rtv9XTyvzm6/jlGQ3UG2LpAeqrI9vY26MZUFa4z1eVDxRWF8VUTqMjf3FACaSoK\n",
       "7q9Z+8XBzt5T+pmAj5qN85aYqqLGJqbdI3F4utUmkAC26LQUf8NTUezTjDE+T0rv+3NnPz8tIq1/\n",
       "Qum6BVu9OzddWXcfEYmaCmnHQmBCndHLd2b0OP3YSy6/asoRR8caY3j6wXueevF/b554EeQ2cko7\n",
       "cBJwgR2Gj8rbRgAo8Hj8P0ZHF9ry888/tLR0SXppKbXjQx9NTLJHRu2aEIF+/QfE/mg1T7ckiWzI\n",
       "xuDjbaz57Q4BTsN6zx4afBRjjTj9VyysrSwv/U1Li8vlsqUPHLg/q6zeNc9B95GHHHHUlKOPjwbo\n",
       "c+f0XvdfecFtLF50dioEzoey4eD+GHqGexS3Uu3AJ8aYoVi1/82mSWTH45gC5tA2rnl8Oiqqb9Hg\n",
       "IXdHRUe5ijdtmn3P2rW1q3W4sRZn/wvWqOpa87ASx1lYrby7dFn6043XXvqXlydMmpSWvXJl2c6f\n",
       "lz66u4m+Q+Ukq89W7UjQj4OPMVjXMRUrGT4D+BK4D1jtBar9Nb3GjRtPv/4DWPHLMuZ+Mav37s6R\n",
       "CoGLoDQVkj+GCBHJay/9rQIlW8/yrvzoJXHH9jLVZdsDJVsuaGg/E/BtFptjSqCq6GpMoNJUFjze\n",
       "2v6QpqZiUaB8+8G2qFSXMQZ/wZoN/Lb/rAqq2rH+VRH5oPDnmWnAxtrVkkTE3huSLoH4ExoaeZ2Y\n",
       "dMiUI46ODe7LUSeflv7snNkT2bnj3QZOY8NaGu1arDVyAUqq4eP/Dhg45pSHH+k3yeVKfnz6fY+U\n",
       "ffvNqSdYtfrWTrlb5y9a8MO4MeMmeKprqpn54fubjg7dYJga4NPgIxGrteN0rP7V5wLn9oSZEd9/\n",
       "/+2Mt/6bvt+YcbZvvprD6LHj+OS9d3b9fIohMjMpufYeFpvdhscT+ZvPulHgHQzezyDpc2sar7zd\n",
       "rVTlSUw7zuGJHl1TXjTTW5zf5NpepQBsrWvYCSljjBGRH0VknDFmQUvK0CRSMRNi/ZMmv/z0o4/3\n",
       "dTidzP7s05FPPfKQXLV5sxv4M1bNA1jzUr2J1cS023kXL6quzsn/Zt5RM76Z12UsFO5XL8kMo0XA\n",
       "hVgDci7CSiIPAQ4CXrHBY13Sujn69R8AwOChw0hOSbWDNchnust1gHG7o48uLZ03JTgfX23zdnfw\n",
       "vGM1b+e2h1GgwT5fZzRp34BvK3Bzm527YsddNRu+jhNP/Hh8VdWmsvBGXe5t94wxtYNSAKuf82To\n",
       "ejTYDt/N3InVZWW5edtyTZe0rgKwZmVWqaeocF293QQ4HriO4A2gD7Y4rEmG3787o8d5dz3+5Jm9\n",
       "e2cCMO3hRwZdd945V56wds19tQXcnr36ifvvv8+R1KPnhJLiosrkn5feMbEJ/YrbQAHwz+BjEHAW\n",
       "1nx4R529dQubHrw/Z/aE/ZMGnfHHiJXLf8krWb365doDz4d1T3z47qpRB0weG5eQyJyP3i+qytn0\n",
       "cf0TeIDjoWIoOPpARh+RwnXWROW7bgRjewx6IvO4S/8c22tozI4lsy+N6pp5W3nuupfrl6XU7rTn\n",
       "5uygCcDZIrKRX+eZNU0dna1JZCfjBe5JzzjbFxE5LLqk6NO78vK+3NMxXzocI67549mZDqcTX85m\n",
       "xiyYH90vJ+d2rOYvgF+A54GPaOI8k8lWLV1jTWvhtAG4HWvFlBuBc4ALnXDSwJUrSkwg4BGb1Z+w\n",
       "uqJicwnIQ0OHv3LOJZcdGJ8Q7/7X889mbf923mmnWR90AEyCqm7g6AIZMSJ5pSGYJqejCDYNXrnH\n",
       "HdXvxIjEngpdTrPmdN3t1D1nr81+8KGbrxm0/6FHDiguLKxZOf/bj6b7fT8FXxasLifXAwMAyiIi\n",
       "/L6zzrH/EOFxz581K/Hu7NVVNofd5Xb9OhzF5XJjs9t+Mz7FDdyXvfpRslcTRlnAHcCTWN1SzutR\n",
       "U5PeY95X7PzumzVev/+ZE6zmcAC6gv+opYvPeuTKi+9wRkUmOXbmz5yes/k3fbxKQGoH+mWC7xoo\n",
       "GwKxX0BsbT9nEXF1O+DEE1KGHxQDkH7QaaklG1dcAmgSqZrM1v6TyCODX+uuWNNkOjq7gxGRmIeh\n",
       "y+6as28eOPjx86675fhBw0Z4Zn/yQeHc11554v4N615qrMwHod8RF170wQFbt8ZWzZoJv47QnIu1\n",
       "bOK8Nr2I9mcI1sCbcQDFKSk+rrneMXvTxm2/fDrzwcod+fnnPPK3V/affJALoLy8jBvPP+f/Hli5\n",
       "4rr6BRWDzICoj6FovTU/4z7R10pEYoHBQK4xZmO44+loRMTWE1KOg7iToDxuDzMZeIHp3bqdWhUZ\n",
       "ub+zuHju9B07Pgi+NA7rd3lIcHvLnMzMmjPf/aCXzW3lh/fcfuvGI97934HzIXbDwYe8e+/Dj/az\n",
       "Oxzcd/ut6yM+m3XaRX7/1lBdZxtJwGpRuABr3V+w1vq9H6u1Ybfu7dnrxMj+A6+JT0h0r8tavvak\n",
       "ZUsvHFunpeQDiF0N9p+hcAWUdD/w1F/6HH95z9rXs964f9H2xV+MdcenTnBGxZ0eqPGurtyx+YV9\n",
       "5X3eUbSX/EJEzNodLa9P6JMSG/LR2QAiMhqYhNVt5ltjzOKmHqs1kZ3IEvAMGD32gOGjx3oApp54\n",
       "asJPP3xzIo0nkYNuhWt56cXYKsDYbKxMSCj0FBb+qXczFmHv4JZjDTg4AbgrbseONG6/hcPgx5Nh\n",
       "7s2JiQckJCbt6mMVGRmF3eWMaKigODDnQ1kKxLwP7mDzdoO1tyJi86Rm3uWIjBvtqyxdX5W35saO\n",
       "MpF5XeKMGGxP7Ps/e8rAzED5jkJbdJdnAmV508MdV0chIu6J0PV4sO+u+bq+6YMGP/Dna68/bfS4\n",
       "cRGfffLxkU/+/bl+V2/a1I1fuzBsBZ4C3swaNOT92gQSICk52bkZXKdBwWtzvvzDVWefeY3YbPZe\n",
       "69Y+0wESSLD6Oj8CvACcD1yMNbr0/eBjOrBlIXjeiYk5UPx+71UVFd/MhfjuEyfdesUtd6QD5Ofl\n",
       "ZUy/5tL7xmatuHEZuP85cOg/+40e399fVOhL/OWnt4/ZuO7vX2Uv+b54/bK02B6D3dt/+rKoYtv6\n",
       "tyNTe5zadcJxT3c94KS0yu0bq9d98OxhInJqexpYp9qPsGeyeyAidwF/wBpsKsArIvI/Y8x9jR9p\n",
       "0SSyE3GA8ft+O64j4N/tDfIQrI72RwW3vaXw7heBwLujCgsX1J8fcW94OCJq4LqElFPs3qqtd+7c\n",
       "9mpX2NuDVN7Hmk7kauDiWDgGmHhTQcGdLz7/zOppjzze3+3x8OLTT+RFbdvW6AjmY6AyCdxxkLG7\n",
       "fpIRaf2e63b4ZX+KSOvnqi7OC2z+6JFM4NiQXFkI2SJTnnD2O3KQiA17Qu80/N5LROTZYF8/1YhY\n",
       "kZgTIO00qB7QxL6GuWDvM2LEwZMOOijCBAIcZkz80K1br8bqflINPBN8eAFy12TPX/LjogH7jR7j\n",
       "2bYt1yyZ/0P2fcGWjHNgB6tX3R6iywu1EqxE+WXgMqxBcycAUyvgX3NGj5l0/fU3DK6sqPA/9/ST\n",
       "39csXfrIH8ZPTK49OLlLF4lOTE4HeCWz3+1/vuuvByV2SROAT9969U+5Lzzx4YW5a+969T/TV3g9\n",
       "MZkBn/eDiu2bZiQN3n9OxqFnpwHE9BjsSh520KTSTVnpNNJPXO27bO2/U+TZWJONVwGIyIPAUqwB\n",
       "p3ukSWQnMgy8b/z04+zvv/ry1EHDR0Z++fEHO0vXZv+33m5DsZLHqcHtKuB14LkYyDtpbwYM5IB9\n",
       "KzjfiokfXz1q8mPDjzi9a3lhnu+m/3v+sKmb11wswWa9BCAWAsngTwPfnpr7WmKhtUZ21/Hw1BRr\n",
       "ANGDwOQkePbKr+bMuOPcM1bUeCIcnq1bX711e953eypvgjXxuyP210TyN7VM7qQeEyLSrJmQXHFd\n",
       "bJHdBg4VEVdHm7tOHG5P7ZyUAOKOiwDiqDNYRP2WiNh6Q/IfIf60JjRf1+W0Or2bmuzVFE67m+pF\n",
       "C3FbCeQ8rPkV1wX7/AFwx6qV90yfdleBJylpVGVx8ZaTV2bdH4prCqNyrJrJN7D6Op8YCZfctGE9\n",
       "CevXE3nSyY6o6Oj9p1/2lyE/zP1y2wFTDuklIuRsXO8vy9++GsAZE5tem0AC9B0yInF5ZFTv2yvK\n",
       "s0cU5r02izzXt7BTRGyJgyaG5ypVh9T+c0i2ABH82q3DQzOmY9MkspO5Z1XWrfc/fO8370THDost\n",
       "3Dn7voKC2ibpQViTbddNHl8DnqOBibe9wN19+t0Y16Pn/hWlpd6E1Vn3XldSsqKlcVUBG8G5DRw7\n",
       "QHKwfnOLwbsdin3pmecfcf5NXY3NRmR6b0dSceHox1+8P4Hg3JOAvQe4YsEdA+4ocCaC6QJ0AzMI\n",
       "qtNbUXP51+SUsY5RYx7bf9Lk5GU/Lir49seF996es/lMrNHpt0fBSXesXLkBa8BIk/uLZILvKvAn\n",
       "QrdUkR3b64xS9nvLqo0xSPCvjL+iuJpWrkQSDgFv8Tx/yZYx9tjuEcbnxV+wdi06J+RuiYhzP+h6\n",
       "IjiPaWLzdV3J4B4185PibW+/hQQC1ERGmu9drhkHFhVd+bwnoteOEft93K1X76TcTRsL43/5+aor\n",
       "S0uy712T/TRrslsdexXgBSkFW3nwUQniA6kIttxFgokAEwf+KAjEQCAUN30N2ApcDry8w+X6V8rO\n",
       "nUmFt99K2euvknDBxXZPVLSrZP73t9x99aW3xsQnuLeuyc66ZNXK+wAChQULVi5ZeNDA/cZ6jDHM\n",
       "//yTnKEV5UsBhkH1MKgeDPFfQtwPeRte3PTFawO7HXBSWsX2jdX5y76ah/6+q46rBFguIp8Ftw8H\n",
       "FojI01g3rFc1drAOrOlg9jSwpgH9sEZpHhfcrsJateU5GllB5tbefS875bpbrh82drwn4A/w5N03\n",
       "rx3xxaxjj7J+4ZqkGOQXcC8Dezb4S6BqC1Rst5rcagBfbT+i9BH7f3LUbc8eVZtQZc/7pGzuM7dP\n",
       "MsYsbajs4Ez7dsARDa7+ENcT3MOA3uBr7rrhD0w68OMHnv3HyNrz33nN5atu+vKLQ4IvD8BqHhyM\n",
       "lag+CTxBM5LWKuAdiP4YSlbDdmNMwJOUcUxUz5HPxA2Y1LN888/bSrJ/eLAyb22HWx5QREQik28T\n",
       "V9QkfN6CQNm2K40xBXs+ct8jIpFToevJEBhVZ/T1RxC3GLodAJsPbTyx3A9rhYneBszqyKgVX7mc\n",
       "j11cVPQpwD3jJrz34HMvjXU4nfj9fm697KKf7vrh22NaGm8O2DeCMxds64BcMD7w14CvGnwV1tdA\n",
       "AfjKgnNZRoM9DZyR4HCBww1OF9hjQXqA6QGBnuDLDGGXmSfi44eOHzT4zUkb1if4c61JIirgvUhr\n",
       "lPfvppvyArf17nd7XK/eE6vKy33u9Wseu3tH3u8GFOaAfSZEvB0Z07cqLuUIU1OdVZmf86IOrGlf\n",
       "2kt+ISJm886WT7ubkRSzN5Y9PL/OpsG6Gdz11Rjz78aO15rIzisTq9n6JKxfBi9WzeMzNJI8rgTX\n",
       "qzDE6/EcPnTMeA9Yk/VOOebEnu98MWvgUdDohKTFIIvBvQrsWeDbDEWbrITX21jH85K8zY8t/M9T\n",
       "w0eefGH3su1b/Ss++7/v+bUW8neCZfmCjyqgREQcM8AzFGK6QdRQYCD4RzUyVUqt+KSkCKnT7pCU\n",
       "khpRZxqQVVj9I2/C6nd1HTAFq1Zyw57KBqt94Cwoi4eo96F7sHn7YxFZXPjzp8OMvybbGLO+KWW1\n",
       "N8H/Cx1IswddROLPhtQ/1ps8/L70jKNSx0+488ixE5Lnz/sqb+HC+TffUqe7xF9TUieYzN5XH7o5\n",
       "p+forVsyxJo8fKXAjQMqyhcPqHM7mdo9PdHhtNZBt9vtpHVPj29OjOvAsRacm8G2HigAb671Hq4C\n",
       "alqzVryI2AFXKrh7QHQiRPYA6QkmE2p6Qo1nj6U0zTVFRb/8dWXWuXPTMy49zOvNHFNQ0CfSmrz8\n",
       "IKxR3G/W3d8NPLY+ezrrG6+tTQf/RVA2rKI0a2ZF6eqvrL+lOqBG7Za08/ZsY8y/WnO8JpGdTw/g\n",
       "GuBUrJq6GqyF1Z9mD/M2zoboWSNG//fgU88eUlK40/bPpx7lz1fdgAisW7WiMH03S51VAYvA8//s\n",
       "nXd4FNXex79nZrb37GbTeyMFCL1LF1TE3rDgtV2v5doLoq9YEL0iehWxYK9Y8NoQAelSpEMI6b3X\n",
       "7daWnfAAACAASURBVH13zvvHJoiYhE0gkMB+nmefZHbnlNnd2fnO+bXDxwnH7iTdNtdXrZeF6GdV\n",
       "H9r5D5/HVWGsKXuju3f3bVHQVgBWQgizFhCnAYoBgHI0wE8AHJ1dpGpKSooa6+pS9RERxGgwoLyw\n",
       "oEL514uDG/6Lzwb4VyKHwh+E8zD8ATkBcRHgCAeEK/70k6xDH8qnSQgREqH8UjCshDpN/6PncL7L\n",
       "UwUhhE0FQq8HlMfWvm5HnJb+yMNPPx8HAFMvuChx/r3/fBKNDRcCwFKJJDF97JhlV5RXhLlrawAA\n",
       "tRz3Q6TXez86WG2vr6xodDocSWKJBFazGbk5B12PiEQTHnS5tncWqGYCyC5AfAhgCgBnIdBk9fft\n",
       "PpUrbG1JvB1tD2ObNUEoB0TxgCwSkA0GSLY/yOik3ToeNRj2wWC4vW0zEcALACbAn2z9agCPVwCl\n",
       "7+j1s4lYrM6qrPzhOqAlkL5HA65sAAOB0M2AhhDSSCk9pVXEgpwd9IM8kSdFUESePcTAXxf6avg/\n",
       "Vx/84vE1+N0PT8iqpJR5/3rm5aFylQYAsG/rev7dl5+3CDmBrWr/rs8WApXH7v+ERDGiSqaYbrfb\n",
       "Dnvtpm9rAMvJpKixtTYegD8y+qRpu/jZAdgJIS37AeVGIGQcQMcDzuN9tK48fOi+5x+826oJC483\n",
       "NjU1nJdzqLMKLtvhr+u7CP5I0GUAsgEs/B+gOAyEzQTKR3RRpWcY4Nb8GXBTSym1dbavSBM1S6AK\n",
       "uwu8j3cZahZ4LM1d5sE7GQghQlYZtU6UOGk8GI5xlW15gBAyJWia7jmEEOEYIPJygJncgZnaDBCN\n",
       "Tic5Zn+oNdqjOnOwUDh/wtq1YW6HA2xYGFQvvIj5i//jWJiX16G7RtqBff+af8/tS7X6iLDi6urw\n",
       "iTfdk8Lzvs9e+Hz5rvsKDs9JbhNnTgCH2m78DgLeIqCl0X/jd9qCutpWsF1tD3PbjZ9kMKBOAWTD\n",
       "AH6wPziNB4CHwqKvcirV03mXo/GWypLnuzrH2qkAuLeBQSzgfRS4Tuk/Z58BMIoC6xq02roH/7M4\n",
       "Uh0ezr7xyuKbl29Yf22gaY7EAK4E7KP9Ju7oTEKsR4CW/pimK0iQnhIUkf2fWPiF15Xwf548/NUb\n",
       "XgXQraTPjFCsaReQAKCPimVWv7botdmtLV/eCRx17KgG2HmasJvp8On3aUbO1LK1JZaK9V+m0Yq8\n",
       "B07FAZ1q2lYoWwkhpu2AbAOgGwMw5wHO9gvUEMA5JDf3IeTmBtKlCf6UIrvgvyDdYeS4aXT2JeJL\n",
       "xoxVbFi7pn77rl133WcydhqIlAh4/+kPOogKI6SxoYN0OEJV+Hh11tTloaOvDQco6n5blsUKpZN9\n",
       "bnuvmL2JWH2DKHnKeFYRwQCAJH3WYPvBrxbAf3PSr2EE4lFEKBvIO0wbKe8t6c2xCCEMpZQnhMgu\n",
       "AiLmAJ60TgSPEqBl+Xmlrc3NsSE6HepqqvnqkuJC+BMSLJ5gMs0EAMmFFyFkwbOobGnhqdPVaRDH\n",
       "HJ+vCXt2X3NvdPxjVz33+r9VujAAYGRK9ag3X3j8uoca6z7fCYj2AagCzHn+89rZF3Ictt342QDY\n",
       "CCGCXwHpQECTCQgOhUfdmHrZ3PvSxk5XWg3NWP760+lpxblXKrswJe8GxD9kD/3ymptvHexyuvhF\n",
       "n3207aHDh/6hAzYCmEeAG0e2tMSwT86HZsEzeOGVJUn/uv66ecjJ6Va1pXYT9zBAtBaIjSbEUAMY\n",
       "ji2fGOTcpY9bs0EIuYpS+s2Jnuu0fTCwpn9BCFFcJZJnj2a58CFOy1wF75tJAJYCPivDrt0vUnx8\n",
       "WCzvUaRgsYgdnTj1/PkTLrpM4/N6sfKd/1YJDh66Sy8QGQDAxnsFDTzPVTCMxxSVuGzAVQ9ktJcH\n",
       "LPnlg2p7dcV0hhP2+R9OyvsIdVqlerdNlcjzgnBW4OQICfhEcPM+tio85OHQiIgkfWUle0NpYZgQ\n",
       "UFOtDvTpZ8CnZeCZ+Y/vjyipOeHFiKcUlT6P9DAnsrgU2pZjU+W4XLZF0bMevaL9PfZYW1C3btnL\n",
       "Yql6eU+O+0TYjA1zhYmT5xOxyv8E5eHK//lbmSr0id4Y73Rhs7Y+INBnzGGVESpPfV49b6l+RqrQ\n",
       "rT/V4/g8TqFcIXpNF5OQ6jA2e7nKsm9GuH2rBITp0iRs8XkljRHaB+RqTbihtVUwwtBSf21zwwgB\n",
       "oOYB2w/6iAr2qmsiRRIx89vq1fkR1Y2Pihm2y6CUg0rJw5c/+sKlApHfP9LY2owfX332I7fN/XGN\n",
       "RGFgBRInw3L9IhjE57YLtaGaj6dfe+cwCSHgBEIUbl9ndK35/rYYoaRDFxsAKFCK7/j3Mwtv1Ibq\n",
       "CQAU5OZ4vljy8otpLroGAJRu8w1XqhR3itvcBPgp07CoumaLpslyUt/3Zq9HXEooKkXyFiJR2o49\n",
       "p4/HZWl22lsqgvklTzF9RV8QQmiDsdsJGI4SppafjsCa/ZTSISd6rjOCK5H9jOVAYpzb8aSG+qa2\n",
       "i0cnJ/6xIjTh/TJ9chXgd/7pCYnAhq27D+CrktJLvB4PH2Jw/Dc7aXSNye3gijwOYblUZbZHDzJq\n",
       "o7KcrtxvvSLV0by9ECm00I4e75CExPSXFDVWt83QVFaTI7XX5euyQGi0RBmQGWoL0zLvwcfnXRgT\n",
       "F8f6vD688cj9FXNKCmS6xnoBefA+iB96HKFh0YJEjz4gH6lkwB7nMEr2ipVyZM1oEspCeAAoWv96\n",
       "DQGoQBZCAMBranSLlaHlyVPu7dT8fTI0Hvnty6aKw9eIkqckgzBwl/9eo47KeDNu7I29Mt7pwNZc\n",
       "LqzK3XCxJHGCCgDEuuRwW+4PtyVPv+fHE7XtLo2735t34b8emyLiBIzE7cChVd/Mpbn5GxKVYZ0G\n",
       "srVht3tdTx/k7W+9MCQ7S/btioEEgJUVHKkMT3tEHBJbd+CnTTFen4+dGBJdwcXHnvCGx2it/3zn\n",
       "L9+Nmnr97RF2px2/rfq+qjEk9f3omdeVpnOiEzXva9iMOZ85ZIkZ8Nqt8NjMcLvdnkh9siFR2fk5\n",
       "VkmbVFEJyUTA+oV0TFKaQKIJVyYKw+0A0Oy0fPKKlpk476LZ6cwnH4DZ8BseI2SoWRoyZXfS6J9p\n",
       "F+KvKxIBezbvJSVOi6yIEwlaojINqpjBdqaD97147RJZjwYJ0m/oq4E1hJALAFwIf6Dn6/izuI4C\n",
       "3fBJDorIfsReQtKzgb2E+vziUSD+vlyX+EG5PumU5SibIAnfAAc2AIBNImFzbK3SIpHcZU2dUKeM\n",
       "ynK2JzB2GVp+ajywOU43cLzKUlngtFaXbAtNOL9fCMiW4m1Kc8Ph5WJdVKzHYrQZOPZ5g1R7KN5Y\n",
       "r8oQiN0qoaTLVR6NTpcUExfHAgDLsUibPE31is1R8sL48waQ776G+6XnMVOpVjREZItsYkVAwjRJ\n",
       "onZInBbRnv0/RFgHTG6U6uI94Zkz/lu/6b0Rqowp2bzX5bUU/L49YdwtAQfxdBd9xjSD122/xlC4\n",
       "+lEAApk6fFnc2BsLe2u8QPC6bIQTyXpsLvHYDRxY0V/UAGG4nqmDEyCSiBLE4BmZxwWhSIKI9IGh\n",
       "pbt3Rg04gYj08l5S3lR03iNa6TD5178TEAL2ljuwOOdIzWi3po4AGKKJ6dZqVYZEW7Y55/D8d16Y\n",
       "d71LIHI5qeLF2LE3l57UAZ5BHC7yn02fvhE7cMrFsY3lhZYjpUW/ujihU2g3SiLEcqeQ4f72HXE4\n",
       "HOYvPnjPc9Ntdwp4nse3n35co3eTtWgrYKoTK5zOJsM/5+/ce1dk/ADt3JK8cKXXPTDE1vLslNy1\n",
       "F5XoUxb29LdVyHA0Xaqxx3rdbGXFvrCimlx3V2IyyNlLHw6sqQWwF34/4b34U0Sa4c/sEhBBc3Y/\n",
       "Yi8hxAtsMjGsrSk8bVl5aFJAATPdxenzMGUuq7iIE7lbYwa1quOGdViOrWLbezN53jUNYA/Ejbnl\n",
       "M4YTdrRbn6P093feSbr8gVkCicK//eMbJaqwweeDUior261Nd9tESWKFo6MLEwBsF5uXzF/0n0kS\n",
       "qT8eYuni/1Tbd+fdYdZL759gMSRPLsiN4yhlvQyblxeVdX9NSOyJVqKOYnDZBXt5D1ubPLZBGZXl\n",
       "dFma2dq936YThvPGjr0pv7+8xydL5c4vkiyG+qWMWKnhneZWhSbi3tjR1/XIlzH3l5c/lKSeP4WV\n",
       "hnCelmKbt3b/OwNmPPhKd/txtFYJGvJ+WSLRhqd6rEYX5dmnY0besB8ATIVbZGz1rgXTb77nal1U\n",
       "PAcA21Ysr40oLr8pRaHvMDDpD2/jDGVc5G2pLqdywuZ1aqXXK4BKDdFzL4KMGovH/n3Pb2Ocqke7\n",
       "M0cf5VHqMEmLGNbXFJ7WokgcZTtbREvdgR/DvObqMT7KlsdP/OcBt62VcZbvlUc0lYYkE0JjxQon\n",
       "27Z6+Lu9bmzSzAueD4uJU5fn7EVjXbXLWlz+3DRV/C+d9U8ojxElO2epba0PMqBqCjgtYuU7u5PG\n",
       "fOYJwE1nr6V2gFnMTOTcvsLxkvCNhGGPvmbzutkyt01Uyon+IiaL1y6RGcr3nnwW+CB/oa/oC0II\n",
       "bTb33JCjU8pOhzlbcFKpu4Iisn+RRohKE5f8YfLg4QNdTqfPVl23YpxAf0pWp9y8l1Q4LZJ8hvM2\n",
       "RWW2quOGnjUXoGOpOrDi+6RL7hvRvt2wb43BWpx3Ycyo6yp5rwuW0j9kkbV5oemE4TsycZdYmjRN\n",
       "YZLXMrKHhNVWVTkN5VXvjmFDj16cUmuPpMQ1ly1hKR/FgzRV6eIfyIvKCrjaj83rZg+4rOLiqMwG\n",
       "Vep5/daUfDIcWb3kJ9GAi4YShgHlebjyV+3LuODBi0/c8u84TXVc2fbPHwJIPMNyW9POv++LnvRT\n",
       "vv2dRWmX33WDRBvBUJ5H3tevFYsVCRcIjHXiLEONKlkodW+ixqcVEdEDXHarW9xifGeiNHxLR32V\n",
       "WZrV4lEDPvtnuC7S/fqrgM+LKpnCq3htGatOTSPvvrm0rmVf3oNDZOEFgc6v3mUT5nvdXKU+qUWa\n",
       "NMbCieVnPFjmdOC2tTKO0t2KmJZyzQCG5SPFCtcaT/2T/3hu8eUs67/pspqM+GrRU++fL4p480T9\n",
       "6U116szqnIdFXteFAOAlbGFtSPTzR6IHHe6szTZ344UZE8c/MGnmRdri/DzHqi8/+2USdH/LnXqs\n",
       "mGyNGdTaXLCZCYrIU09f0ReEENpyEiJSe3pE5HgATwOIx5/WaUopDcgzLmjO7me4k1LuvOym2y4Y\n",
       "O2mGGAD+9+XH9/y06tdQiVTKR3qYVRmK8Iae9FvtMIvyKM/UhA9okscPt4WcxRcgj8VU5bYYRggV\n",
       "GlBKYSk/0qxNGlsPAAwngir1PFtLeJpzS9E2daq5QZklVjjFrOBoEEKSItSQaPXNrVj7hypWLLMO\n",
       "4EL/skpRGJlRZJSF3Diwcv9iAe8dGttc9r7Maf2/PUmj1wUyPxkn9I1glHZpTa7+sN1okmXNaD0b\n",
       "xXxXEJFC3R5QRBgGRCTvVtLsYxGrIrzpFzz80snOSSBTJUu0/sh1wjDQpGSHWdZ/O2SiXFuTJAux\n",
       "l1tbVVKr6Xu1zVufrYmugTS8076clobE63Js4e4vDwEAuDk34ouq+v2mV1/fDY6oNXZ8M0QWHlB2\n",
       "BafPw+Q5LeIiqdruy5pRp9RE9VolmL6IUBbCCwfOMDUYamz1pX+okswNKlB3UVVxkSs+LVMEAFUl\n",
       "+U6Bx1eAAE6jRlWEsVEV8WR2+Z5VenPDfI76UmNaKj4ONTd+mxOT/UarQve3SAlJhP6qS6+7SQsA\n",
       "w8eMl+TlHBzXvKdQrBMr/hKVL+OEvixOaE/wutkdpbvDG33e5lPzLgTpq/Rhc3Y778OfW3ofelA6\n",
       "OCgi+xlypWJkSnrm0Txyw8eep7W46Z3DJkxhfl3x8aX7iiruH6qICNj3yeCyC454ncJSTZRRlDLe\n",
       "qG4L6jib0SaMebT0h9dlIk1YvNdmchDKPiXTxf8lP55YGebDsMtbDlfstRvL9+qzGI4PF8mO7kMY\n",
       "FvHyEFNnYzSqwo3b0ibdObr49yfEHuelOmvTS+PzN8ZvS5u4PBCHfSHD0SGyELvUWKc8uPc7wbEB\n",
       "N+cCvNPcRH2eRMIKQH0e8E5LwC4BvYXXZm7y2K0QSOXwuZ1w5u82jxPJW5Mkascee8Mg8YDYZy+f\n",
       "dnN0ScERw9ZtOz6bwIR2WC4spS4veVpz+QKuiWcgk0P0f8+hPnWAz/rMcyXnCcLfAwCn2MOuc9Xd\n",
       "Rjk2Turh148Xh2/qqK8Ku1GSyzB8Y+LI+s7cTs4VJJooL4Zd3lJYl2+Vluxc+eOHbw1Jzho0iPIU\n",
       "9YV526ZLI37rTn8H4ofvkDvMVw4p33O71G27UeJxXDW8dOfkVrn2lb2Jo9Ycex4z3F+lgoDjiJfy\n",
       "7N86bUPGCX0Ct/2svVEP8id9NbDmGIyU0tU9bRw0Z/czEpNTF/z7jnvmDRs9UQgAv/zwLQ1NzCBR\n",
       "8Unweb1475nHfpvKa07oR+X0eZgip0WcL1E6XYmjWuT65NOWZLi/4TDUcILCzbpMh1mSKlHZ2W5E\n",
       "bRLKY0zR1hsUDvMDBCAuTrRmV9KYBZ0F3FDehzqnRR4hVljbfaqqHWbRPpbztQfcnJqj6tvUHfw5\n",
       "rLU2fykRKbTUZW0OiUy7N2LwrB6tsp8qWoq3KS2Nue/LQiPjhK31nlCzafmFqujVALBT4Vz+4HMv\n",
       "DmPaVk8/eH1Jre5I7RUhQulfPufhJTtmaK3NTxNAbGO56i+Hj3V4IqNITUVl8VCX7CkpJ/JR3od1\n",
       "xPDq5Xc9MC4sKpbbteFX46HVv7w9WRT2dXs/7Td/ZSExBnHaJOO5YrruDsaKvRJZ0baYNEpJplJv\n",
       "7M55ezwpdXlJcc3l8znemw0AHlawo1Sf/GJ7RoytnsZrx86edcekGReqS4sKXJ8vW7ppEtXO66rP\n",
       "zXaj5A+HqcVUdTBgl4UggdFX9AUhhBqtPS9kpJZLT4c5+0X4q9t9h2NKBFNK9wXUvrdEJCFkJvzV\n",
       "UlgA71FKXzru9T7xIfc3CCHK0YlpKwcMHZlms9kEEk1o6IVzbmEBgFKK5U8/tnGKT/lQZ+19lEel\n",
       "0yLOI4Q2xg1tOtdXLwKF97pgLdiiTGgq0WYLJG6FQNwtk+GQst0T9Ob6RQSQehk290j0oAdqNdF/\n",
       "MWXtdTcOQaTuiZj4JFlpQZ5RXmd6LEseVgX8GXBTkziqQRUzOOBykkFOHU5zA8vkbdClWppUWbIQ\n",
       "E9eWOgYADoULPrrriacGtW9//8UnTZbfdl6dINeZAEDgdbNjirbeJ3XbbwAAJyf6eU/i6BesEuXf\n",
       "PssiS2OIYOKYFdOuuO5oDq1PFz+3f4yB3OqjPIodZkmuUOq2J49pDt78dY3XaSX2kh2K2MYS7QBO\n",
       "6D3WmtAdKO/DdnfDZeONDbOmNNakCSiVUsBtFSne25cw8mOHSOrZ4aif4BAxk1mvt2gcp1/BdRKY\n",
       "105QRPYefUVfEEKo2dZzEamU/V1EBqCtJsFfirfdIrmSUvp8F3PchA6S9lNKJwcyx14xZxNCWABL\n",
       "4S8PVwNgNyHkR0ppXm+Md45Bw5uNLyUVtLRYfB7Brsamdw0tjYPlKjV++ez9BpnZ9glkyg4btjve\n",
       "V+gSWmUp48zq4OpFwDCcCMrM6ebyuhiXoWSHbqDDJE6QqAIWc/sTRmxNqcu7OaGp9L8c78vMqjrw\n",
       "qcJhuq8gMrMQ8F+k+HDtvIf/b2ESIQQ+nyf8pfmPPQ0bbgMAjUjqGe/z+PYWb48sshka1QMm9TyD\n",
       "bZBuY645LA4t2Rk6hDAIV4b9zY2htbZ2X37OodQBAweJTYZW5OzZUzFJqjEBQJixVpNVdfAlAe8d\n",
       "TgGvWaJ+ZWfKuK86c2sQMZzX6XIcdV2glMLr8VCLh+cOue2iEn1yszztPLP8HPOT7QmcWE6VmdPN\n",
       "dZEZ9sbCLdoUW6s0/Tgf50DYyrQ+du29d10yKHuoeO/a1TbVkheLkq3mFIXLctf4go0Xt8h1r5KE\n",
       "EZsoYbbi3EigECRATqWS7Ya22kwpnR1In5TSSSczp97yiRwJoJhSWg4AhJAV8OciCorIUwRhWCgZ\n",
       "1pNt9fzry0ULbgPLqrUu+s0oWcTf7mptXjdb6LKK2h3vVWeJ4339oVWhptqCqQzH1SVNunPz6Uh/\n",
       "o4gY4HJromt35K4NMZoblJkSZaepgI6nKCK92CxR3TCw6uASjvcOjm8q/VDqss3bnzByi83n4cIi\n",
       "46Xt/jMsK4BGq5PjmLtYMSvgR0vVNmVdXmiOrVUkzDy/NWjG7F3aV6CTGot12SK5U3Zcqhe3z8Pk\n",
       "mhoiYwSiT1e+vcwqUioHO+3W5kyHcDERs8ioPpQV3Vr5MkNpGA/SXBMS80huzOCDXY0ZKwsxr8s5\n",
       "uPXgzq0XRicmS3as+6XBXlf/5UaRDqYBk2uUEQOCtZm7iUQT5cWo6xoOVuyV1FXsC81y20lsgDeB\n",
       "lPchJi1p9NDhI8QAMOrCWbIlBw7giq3bbw831s5jKZ+otzQumXJ4za5KXfziooj04t49miD9CebU\n",
       "+kQGqq0CHpQQEg5gIYAoSulMQkgGgDGU0vcDat8b5mxCyJUAZlBKb2/bvgHAKErpvcfs0yeWm/sb\n",
       "I+74PCga+jmcz4MbtryH0cXbwINg5eg5WJ81s+8XWQ3SLcbnb8Q12z6GgPeiOCwV7067F2ap5sQN\n",
       "g/QbGN6HCXkbcPHelZC7rOAJwdYBU/DTsCtglXRsETqe3e9eHzzxTzF9RV8QQqjN3nOPMZlU8hdz\n",
       "doDaaiL8/o3V8K9WPkwp7TTFHCHkVwAfAphPKR1ECBEA2E8pzQpkjr21EhmQ0CGELDhmcxOldFOv\n",
       "zCZIkD6ElxXgo0l3olEVjtl7V+KqnZ9Db6rHV2NvBM8EEyb0dzivG9du/wTjCzYBADZmTMe3o6+H\n",
       "jw1+tmcbPMNic+Z07E4ag1n7vsPEI79hYt56jCjZgVVDL8OmjOnBz/000OYHOOkMT6NDurM2sGXL\n",
       "FmzZ0mFq2XYC0Vb7AMRQSu1tpQ2/B5Daxf46SulXhJDHAYBS6vHXNQmM3lqJHA1gAaV0Ztv2PAD8\n",
       "sQ6gfeVOob9BCFFcqgwbNTxhZEtHrx9ruvYmjWk9W6N589a+/qk067Ip7due5kIn05x/eeKUu7s0\n",
       "FfYGblsrg8NrQgc7zJI0qfpvt52bXfUXe8XCcbzLVTuGaJbJjwnKaYvWfYYAQmbUWAgXLQaRK7D4\n",
       "hYWFSWW2a084Nu8lh+0maW5ItPFczCd5qvE6rcSRv0GTbqhRpYvkruPN1+1s8tTd+uiiRXfrwsIA\n",
       "AD6vD2+98SrF+s1P3tFaPYfjfZkUcBlkIQt3JY/7uTtz8FEeeQ6T9IhEZefTpzSLlWHdzt3WE5ry\n",
       "Nmpamip+kaZNjwUA3mWD48hPX6XPfOjBk+07b8M7P0sHXDikfdtZvr1Op4+eok0eZz7Zvk8G3uuC\n",
       "uXiHPLa+QJfBCnxdBd7ssNWM9oi4wWKXb9dIWeT+9ue9vJdsZ4yPhcXEDJTXVpHLc/Z6NR53FgD4\n",
       "CFNllGre3Z8wYvUeV2tyyNCMV++874GIzRvWYeWPP1hrjK3flxXm3kYpDboonEL6ir4ghFCHveeB\n",
       "NRKp9PiVyBNqqw7mUAZgGKW0w8pZbYE1VwD4jVI6pG2MlyilEwOZY2/dIu0BkEIIiYe/PuM1AK7r\n",
       "pbGCwH/hKXeaJXkM521uyxl3Nvt3syy7wlm5e7AoZriWehxw1xw4kjDq6oCrwpxKhLIQnh92ecPu\n",
       "3HUaS2uVetAxfpIbPQ1zR1959a3ZYyfKW+pr+S/++1LydF7w7/b0PXuSxqzJqDpQF2pp+EDyx3bG\n",
       "deuNECxZCkNrq2Qrb7pH5vBtGCqL6PS4hAxHh8q1NpWpTnlw19diR/qURslZ4vN6urHU5YtUJTt0\n",
       "w3weLkEW0uUvP3F7q6sqK726sDAOAOpqayA5dMB2U3PlIyyomidMbYUu/qGCyMxuRd5aPE7ukNsu\n",
       "KopIDyh4qmzTO1kejyNBoU/6I2LwxY3dGet4rA0FUVxIytGIcEYkAzhx5Mn0eRSvy0MpD9IWTERd\n",
       "Frc0JPaMZ4ZgOBHUAyZZG8JSnM2FW7RpNoMkTSx3dRR4M0YWtRPAzuOvmtthuPPWBx66NDktTUgp\n",
       "sPQ/i6qmrV8/L8XafCdL+TitreW5yblrb3NGxhouvuftiHWrV0Gj1eLZFxfLG63G619+7ik9IWQm\n",
       "PVP59oL0LvSUpvc9obYihIQBaKSUUkLISPgXCzsUkG08BOAnAImEkO0AQgFcGeiEep44qwsopV4A\n",
       "9wBYA+AIgK+Ckdm9R73LJtxqN0l/D4k3OEdcU3MupO1JnXr3KtbReL/j0Dc/OPN+/DAifdK1kpCY\n",
       "M7bqynAiyAfPMuTED2vY7rBITG4HBwDSsLCJ2WMnygFAGx7JDBg6Mq3cZvhL9ZUjMdmHVkQnLzEp\n",
       "VF5aVgLjNZfQaTFRYQuWvHxL5oWTX9vpaZhxovGTJGrHeJ+XCT20KspUdVB8ov2D/AnvdcGUs0aV\n",
       "mL8xajJhEEjU/ThJxNoVH7y/6YeV3zjX/PSj9+CD9zhuzjskY0HVHlawY3/88Ou7KyBrnRbRZt5L\n",
       "SgdMrglEQBb8tvT/mIisb2SDL3/b6rD9UPb7h8O7M97xqGKyK7wtpfXtUsZnN/DU4+pRvfLjEUvk\n",
       "zzryfy31tJS4HWVb64nX9t6ZPF+PR6KJ8gpHXdewP3FEwya3XVjpMAV8Dkk1qvTktDQh4Dddjp08\n",
       "JfIDqbp+U8b0K1tlIQt8hKlhKR83q6Y8m7/+Moh/34yRI0cBACIiI8m0GRcMBKDraowgQYDOtRUh\n",
       "5J+EkH+27XYlgBxCyAH4UwF1adGilO4FMBHAWAB3AMiglAZs0es1Z422DOg9zoIe5MRYPE6uwG0X\n",
       "Fst1Vpo81nCmo655rxsFa19/GiLFZArKM17HytSpd79ZtP7NOV6ve4hQJF+XMu3utadqvOTJgb6u\n",
       "sQAAIABJREFUd24AsOFU9Xcq0CSMtFfLQmrMhVtDhzstIrdLQCmlR6sW2Kxmn4YT/O3iGaFM+mKt\n",
       "m9081Zb3YojbnTn6m8+FwtQUzLnxJl1RXv41aMSaE42tb0sDdLh4e0RRc5mJTT3PeC5VuekJ9uZy\n",
       "gaB4m2600ypKlqptgSak5hiOnudVP1r62Tep1zWW3hvic48DAJtI9v6OlAlvebuRQsZHeRQ6TNIc\n",
       "icqOrBlNigA+s+aCzWqBNm62LGmcEgCEmpjY1t/ffRTA1YGOezwhSaMthuqcx2w5/5vPCCRi6jAU\n",
       "JIy6ZkFP+zuWhAm37G8u3DrLVLk/RRkSUxM57r66U9HvqUYdN8xh1iVUbSvcoq4z1qkzhFLXiXLC\n",
       "2i3mxtbmFoTotACAwwf2u3UieaOHE/p2JY/7Uehx/jKkfM8shcN0B1dZET6usgLe64vB3fAP0Isv\n",
       "hqG11QsgmPv1LIWc2pXIDrUVpfSdY/5/E8AJa8S3QwjhAFyIP2tnz2hzB1gSUPtgxZr+BSFEcbFC\n",
       "P0YdnmbNE4g85vjhLcqorD7xA1Sw9r9XM2FZz3Mh8TIAcNcdNngacveL4saMZRQRYm9zkZFvKXoz\n",
       "feaDy870XHubdj9JtbV6UvTQIY+OnjozvLK40Lp3zS//m8qGvtpZuwZzk3q82LoqKe+wBAAEN/4D\n",
       "L9U1HchoIrd0Z/xKh0l8iGF9rYmjmvvK96Mv0Z66J7axRJvFCbw6kbzbSagTG4pikxoKX2Epn0QB\n",
       "W5NC/3/7Ekdt7E4fNq+bPeyyivN1iS2K9EmmQH1aa/aujHRLtL8qUidp259r3fHRztQJN1/RzcMI\n",
       "0gnmmsNiddlubabPLYgXKx2d3WDU2o3yQjVZPXTkKJnNZoFMpfHt27Tpm0nQ/ad9H8r7UNBaFTe9\n",
       "tWJGnMt2o5z3yQCgIS7B90SI5pUD+/Y+dpoO65ygr+gLQgh1Wow9bi9WqE9HxZrVABwAcgAcm5/2\n",
       "mUDaB8PG+iGlAO8KT2tWJo+xKvtQIIXP4xoj0MTJ2rdZdazGZ2kYxqqixQAg0A9QO42VswGc9SKy\n",
       "3U+y4fCaddj2R9X/9u3PEnr48qkh8V2aCcKUocYPGGbrgzfeMkX7xSec59MPcb1IIi+LGSozykJs\n",
       "gY4fK1E5tV43e7hwa2RhU6lRMmCKIZhT0k+7OBjjdQkTpd0rY9nOsNKdU3WWpqcJIPcRpqxUn/JQ\n",
       "SXhqeXf6qHfZhAepjzSkTqhVdVPoh2XNrCve8n6hJGbIGE6igqPqgBVu6/puHUQ/pHDd69d6KWbB\n",
       "53EpdbELokdcVdVbYymjspxubXzt70XblFXNZSGd3Ww0u6zKkedd7Jl4/kxwAiFYlmVLjuSmodF/\n",
       "utm9Lna3yPbquDmXZRW4PfSrTRt/v7kwrzDcZZlbUlv33YHy0qCAPJvp+66uUZTSQSferWOCIrL/\n",
       "YatShVel9sGKJSwn/MNnqJjFhcRLAcBrrDCCUBcA1dGdziHncYYTQZE9u7VGJMvJqC+sH6xSBOSr\n",
       "Osarmrdkz6GrM6ISxlxTVTwszOVI1pXs+KQ4PO3+9lq9gSDjhL5RXIhNb6pX5O7+Snqur0o6zQ0s\n",
       "X7RNPcBUr0oXyVwKqabbYZNit4MbWbLtfqnbMQcAShSqhu8yh9RZLY6sMUB5oP0U2Q3SA2KF05cx\n",
       "rVHZg+hrTiSjkZlTb6jd+dGThOX0DMjG1Kn3fNndfvoTBb+9fgUJSXpKGp6pprwX5rzViS3F2y7p\n",
       "zQhvTiynqoEzTLXN5fbmku3aNFurNOW4ijdhYqWxpqzMJhJL1ADgdrpgM5mtgAIAsItvmfuvh54a\n",
       "E5uQyAJAQlLSxOWvv7lJ6RXMzncYW+7tcOQgZw2n2JzdC6wlhMyglJ7QZaojgiKyn0Ep5TXxw/rk\n",
       "tzJl6l0rCta+nu5tLplMwfOMx76S8Hyot7nkWkYVIfM2FbUw8K440/M83WjSp1rypGqvrWxP2DBO\n",
       "5FEJJV36WHEMRycII76CMOKrYq8gKqUu/zWW8kkpdfmfKhzmRw7FDd3dvm+ryyo65G6dRHneJ+GE\n",
       "BujVtzAsR7xNrd+OFYVvAIAEicqp8zi5I4VbI4uayw3itEnGc2lVkve6YCn9QxZZmxeaThg+Wq4N\n",
       "eEX3WGKbyyJS6/Je4nhfFk8I1sYne1KfXhj22IABYetWrcrY8t33GMPpu0zn4+a95JDDLMkPiTFK\n",
       "M6cbBCdhSVBGZjqVkZlP9riDfobPx18kDc9UAwBhOAgjs5NbS3dna5PHdZlYrzsUb3r7ZrDcJOpx\n",
       "GTXRg57WpU4wAYBUF++BLr5+T9kuaU3lgdAM+Ff7ASBMorQXFxa9/96rL98aGRcvzdn9R31os+N5\n",
       "KPwiEgJBTFRMLNs+RkxcvBhCNsZMRFuqvOI+E1wU5JxlO4D/EX/qhPbvI6WUBpQtPygig5wyGE6I\n",
       "9AsffhrA08c+X/TbG9vcDTnZIqlqY9L59+86Q9M7o6jjhjlqJapae8Fm/XCXTdhVPrpjKQ9NqjFK\n",
       "NTcPLdv1vNDnmRhhrFkmddle/iNl3Nd1TousTMu+fcc/n8jkfV589P5y76MLFnJiiQTfffFpyq71\n",
       "W0wjJWF7AUAhEHtHCcRevbFWmbfrS0VTeFqLInGU7WzPK2mpyxfJynZrh7ltolSxIuASlcczpGz3\n",
       "+FBzw/MMqNKjCaGSl18nszIHCpYvewPhUVGYftFF6u0bN0yFBZ2KSJPbwe33OIVl8cMaNAkje548\n",
       "7lyF91qo1wXS9p3lnSabQCjpMF9uTyjauOxf6qxp98vjhsp9Lhvq1i9LVkSkXyJS6I6uFGsSRtrN\n",
       "+uSjgTcDBBKXSijxjmNDv2/Oq/216kChaoRc1yRU6I/e6PN2x+Hvvv7yoqvm3MhRSvHDN1+1qp1k\n",
       "vZHteB5Bzi5OdWBNL7AEwGgAhynt/mSDgTX9EE38sJTk8x/s0WpKkDOL09zAskd+0w932YSBpJJp\n",
       "h/N5mDGFW++WuW3/AACnQPz9oqQM44Mvv3xzqF4PACgrLcUXn36M++Y9DR/vxTP33v3DJBL6N+do\n",
       "p8/DlLms4iJO5DbEDW1RxQw+60zclrp8kahyvzrRbpQmcWKPRiTt0YqPwOtmRxf9flf7+16p1BiS\n",
       "vv1RQ1T+LE17/tgJgViMpJQ0PPvwg2vGezXzOuqn2mEW7WM5nzl1QpNcn9ztIJ4gQOOR3zRNlYdW\n",
       "CMMHJvMuq8PXWrIq44KHT5k/Yen2T76OmHbXuPZtU+HvJlfFgYvjxt3cYZojS12+SFG6U5fmcQqT\n",
       "urhB2SZ3fjr+goszq4vz4eN5FOUerpjq1Vy22W6U/OEwtZiqDnYrFVSQE9NX9AUhhLoMDT1uL9KE\n",
       "nY7Ami0AJlNKe1TUILgSGSTIaUSsDPN5sy+p3374V63D0qRIk6oDCuzwsgJ+a/qUN0aUbC8Osbb8\n",
       "n9jjvPS+0lyj3GQA2kSkUqkEQOHxuNDS2MRTr68egg7mwAr4dKnGHu1xcsXF2yNKanMdzoSRrWeD\n",
       "uLE2FgtF5XvVqbZWeRIn9OhOkDS8K6JaK0MH1OQuEvDeoRTwWcSKN5cnpSfOJ2RWu52nuLiQqjRa\n",
       "77effVYe2up+BccZgNrT9xyQamxs5vRmeTDlUo/RZ0wzSHXxsxsPrxkgEsutsRc8fEpyWLbj8zjd\n",
       "lPehvRCA19riFMq1ls72V0QMcPGhCTW7Sv+QVdTl6zIARIkVzuPPZ7U2VDZoxBgMGjEGAPD5stcI\n",
       "ys9ooZ4gp5O+vxJZBmBjW5R2+zUg4BQ/QREZJEgA1B74MdxYX7yYCKRK6rYWx4248nGZLr5HoosT\n",
       "yyk3/Mrm3TlrPPbm0pBjK9yciN1JY1cn1uSWRRoq3wpxu9Sum6+FZ8Ei0IlT8O2KzyGRSPktv621\n",
       "bVnza94wqD8AgAaHWZovdT8ikStDnEZTzgQS8h5hWCgEYu8Qgdgb77IL8nN/iyqrOmQmiaNM/bHi\n",
       "jbWxWMhV7FelWJsVbeLxpFbqh5XunKq1ND/FgCp5kKY6TdS8nNgh++KsBvkLTz0ZM3rChNjG+nrn\n",
       "kb37NpNW25qBqvACnTLsLyu6Tp+HOeQwS/JCk7qVvidI58j1yS75lOReKW0qEiueqd+0PFaVNjHB\n",
       "Zaw2OeoKvhPLtPLCTW+/wnASEe+ybkmeePtShvuzFhjDiaBKPc9mjspybCneroozVKvT2b9GcTfW\n",
       "VNXb7bZ4qVQGu8OOppqq+mNjDYMEOcOUtT2EbQ+CwGp0Awias/slUm1cjEihO6uqkvBeN+s0Nw4C\n",
       "QMRK/UGmk5rFZwKe98HptK+UZlw8kLAC+Bxm6ij49QeZQvPoSfftMElTHZbQNIZzixgmoGMu1asX\n",
       "3nXX3ePiv13BMVs3AwByUgegdOp0+4Zf12xiG5q+iBeIKzmG5SnlURqlf+PuJ/5viEqlRmHuYdfX\n",
       "7yz7X4rBuvT4fg0+j7CKUq6OE9hMIrmZFUpcpJvpb3jeB5epPhOEqAVi5QFOLO81twtKefjcDpHc\n",
       "ZVPEed2yWML4FCx3Uqupeq9bNsPWcr+C910AAA7C7Nwg1SysEEoM7ft4eR/T4HPrJAxrD2GFHWZJ\n",
       "sPFeQT7PsyVSdRMnlncZle912aQeHotZuTbW57TYiMvyjFgeckZKeJ7reBxmldthSmcZQSMrljdC\n",
       "qv5GN/YfSYTl4KjJtZtyVv1XLFF82Fl7n8cpUNpNmgSfRxrLsC4xw/pafR5FS2TYE4rQUK2lublF\n",
       "U123SMcJzQd8bvERRlDsMFRXnM5jPBfoK/qCEEJdLTU9bi/SRvW6OftkCa5E9kPsLRW9lhvtVEEI\n",
       "4YhM/wIRSDLhcZTwtsZHKKWuTvYVMorIX7moUWNBCKw1e3bw5tqZne1/uiGEaCUp07SMNAQAwIkU\n",
       "hIiVUYbyvUWnqH+JDoi8BvAN/NOc0CHrAXn4lReljD9/GkenT4Xts09gXLQQAwvzEV9cWHcJzz8N\n",
       "f01VAMC3gCbsuisjMjIyAABRUZGiHetXp961dnVZZ2PsA0QHAG4/4MkBWq2ALRB/GUIIUcalf5xy\n",
       "6e2XikPCZBXrV+S15O2e4fO4ev4r2vE4wlBAlgFoMgFXNmAbCpyK78pIAG8AiIa/gsizEsp/fJGt\n",
       "Bfi7FO7UlLoOkHwHeA8CddTccEJRK9KnfKk9755prEQFSnm0bF660FixL7utxFmQ088eACCEjIuY\n",
       "9WSsQBUGAFCknSe1FG3ODuS8J4RIxwD68YDgSqBCb264Fvl/3WchIN0HVPfC/IP0Jfi+bc4mhKQB\n",
       "eBh/VqwB/ObsKYG0D4rIIL0CIw//QJgy/TpGquV4p4l3F/4aC+DSjvYlEs09wqQpExmZjgEARqw6\n",
       "z5W/6j4A/+lo/zOA2WdtPCojKO8F77J06ivVXSilDkJIpQmIuhwQT+6iBFoI4K1z2HkAIIRAfuNc\n",
       "vP/LqryrDuxXKXg+CcBa+GurbgKANMD+e0Pd0aASnudhNZu7DDIZCriGAq5GgNkJ6PcCSCLEVApY\n",
       "KKVdBeFkx5x32aWRo2YqAEAVl5655/X7X8EJarcGQlv6CelQQHMdIB4K+IYCLlU3zC5dIADwCIC7\n",
       "4DflHIL/PeyWz50TwDeAbDVgKQQaA410ZGXaeFbiN28SwkAUlhbqrN4fBuCUiu8g3abe3VJhlMUO\n",
       "DQUAn8sG3mUPqPwIpdROCKnYAci2A6FjAW4y4NAfUxEkyLlBP4jO/gbAWwDeA9C+WBDw72pQRAbp\n",
       "FYhUO5SRajkAYMQqhpGFDiSEMB1eWBkunAjlR+2mRChnwLARp3G6XUIp9XDK8PnWg98uZJURSm9L\n",
       "Sb3XWH37qR6DEFJlAsIsgHQ20GFAyBDA+b89e1b9/MP31w8aki3/+bvv6guam5cA2AFgKYBJAD4H\n",
       "8BGAhQMB+zeHDn78ydtL70gflK3d8MuPleKCvOcCmZMe4GcD9tkAdgGKfYB6EiG+esBW4F+bc1FK\n",
       "jwpSwnJqsTpU2r7NCsVgRWJJT96PNtEolAPCFEB+vl9AYijgTuxoXbCNCoBbnp75nDY6Ot3U0mKN\n",
       "Orj/0dt9vtrO9geQAv/7lgX/Bf6/AF4F0K1VwGqA/RKQrAIaLJSautPWZzc08m4HGKEElFK4m0sN\n",
       "AJq600eQUw+ltEQclvIe73HOFSjDpJbCLUXOhoJ/d6M9BWAlhNgOAfLtgC4oJoP0QTyU0rd62jjo\n",
       "ExmkV+C0yXtF6RcPbd92FfyS520qyOhoXyKQDuB0KWsEiZNjAcBTuqnK21J0AXXbck/XfDuDtH1R\n",
       "2/4XAdACaOhpOoRAxksEdBcCmmsBa2eOr8+qVGOdKlW6vrFx8/1OZ3F7c/hX0B6G/waxEsADAHYu\n",
       "BaIrCYkcR2nhJUCPi7k6ARQBwjKAKwJIJeBtBWx5ftEr0GaM2jzolmcHCiQyVG75rqVqy3f3WGvL\n",
       "ukwwTwghAFgAAj0gigXkIYA4AUA8QGMBbxzgCcQJeH56xqKHFy2+Pj4piXU5XXjyvrsO37r99wsj\n",
       "2u6wfwZUu7OynlFKZSEzcg8zmTbbWAKIAFQA+DfaTJndYS8g/BZg1gF1lNKAqhIdCyFEJwobsFKg\n",
       "jo712losXnP9gx5T7W/d7SdI70AICQegBlBy7E1TD/ohCkA+CNBNANg8gPwAlPbWb8m5TF/RF4QQ\n",
       "6m7o1HPohAjDEk5Hip8F8N+0fodj3IIopa0BtQ+KyCC9ASMNmc2qYv/LahNjfcbKWp+h4ine1vRR\n",
       "p/uL5COIWDMfAKjTtIh3mf84bZPtAMJyUawy+mtGGhLOO40G3tZyK+809UpUaEcoCFFeBITPBew9\n",
       "WLXIgH81Latt+wMALwDotsA5EU4ARwBRNcCW+v8PrYtImAehSOwztX4fZWz83gK4zW0re0qAkwKc\n",
       "EOAEAMcBrAQgMgCxAEkEfHGAJ/pPs0q3eHXajO8XvPr6iPbtbz77uKX0pRdm3gnU1gHsu8NHfP/S\n",
       "3LlD3a8shre8vH23L+FPkN/tIKAfAenPgGsfUH8yAgMACCFsUFCc/bSLyUhAVQDU9iTBc5Cu6Sv6\n",
       "ghBC3fWlPW4vDE88HSKyHB2YrymlCYG0D5qzg/QKvL31R0LILm/9oTSAllBKu3Qg513W3ejEZ/JM\n",
       "wCqjPpVkXT6WsAJQSuE4vPIjAENO1/gWSs2EEK8JiAgk4OY4jgCYBf/K2r8B3MIDU0uAZzXAWh3A\n",
       "rwaUOwYOfEEZotVa6usPPFSQ/x9lD/wLxTjqQ9lOBerK7nQCMAOMARDYAJHDv0oKCUBlAC8DeAXg\n",
       "UXXvuE6IsbXF6nK6IBL70+mUFhZaBwMGANgDDLrHYc+y33sPAIBLSsJKuSL3koMHHu7uOCaAfA3I\n",
       "1gLGMqD5VAiBoIA8N2izbFjaHkHOdvr4PQKlNP5k2gdFZD+kzV9MTCnt06XTKKX1AOrP9Dx6AhGr\n",
       "dIT1Z+omhICRhGgIIYKTXW3qDm3O+VUmILI94MYFYH5o+KVOiXSwxmLe8JyheWsnzT0AXgGwxsYw\n",
       "H8p4Pi4ZeP+gXt+8panp0oNDh7366rK3RqjUGuTmHBq9+Kkn5c/mHXnqVM1d7H/wp9v3K+bg/kfn\n",
       "//tfH46ccF5EaWGhtfHgvtfG+E00N88CHie5uUIiEkF59z2Q3jgXuXfe0XxJN8coAARfA8INQJ2Z\n",
       "0qAQCBIkSL+FEHIF/r6AYAKQQyltPFH7oIjsZ7CKsKsFYZnPMhK1VBASX+k1VFxKKW0+0/M626AO\n",
       "YwP1uQcSVghKefD2lubTKSCPzoNSd3vATSMg25qQMn/EdXdcHZU2SJL3+7qrHvzl6yVLaio/6Kz9\n",
       "bqA4Z/Ylnvsjo2B+5y1kNzbqkjlufbJK5VEq/OVVMgcOEoYnJGQjr/+nJrzN56tt3rHtgpU7toUP\n",
       "B1pHAOkAfgYwmACoE4nKyuferInNGqT83/zHy6Q5OQu60/86QPIj4NsBVPaVFFRBggTpu/SD6Oxb\n",
       "AIwBsBF+i9FEAPsAJBBCnqWUftJV46CI7EcQQuTCyOwXpJmzkwCAepwx1gNfvgvg8rbXWUam/z8i\n",
       "EA+iHuch3tb4bNBE1jN8pqrrHYdXfsmINZG8y2zgrY03n6m5UEp9hJC6JkCfmZA6NSF7lIRhGAyZ\n",
       "cammKmfvVehCRO4DQtIzMuWquTdDMnUaWp96AvIjR0SDNqwXNV52CVSPPArBmLEwGY2nRBA9ExVz\n",
       "kUutvsjrsNfcUlry8oBTbK4OBB3A/9MfALUIwLS2p2sBPBXhcv36+bvvJH63/F39FEqPXAAEVH/O\n",
       "BJD/AbKfAFMF0NRf/dg6zZAQJEiQ3qHvn24CAOmU0gYAIISEAfgUwCgAWwAEReRZRDirita0bxCB\n",
       "GIxQrmvfZhQRH4pTZ1zLyvUCn7XxImfhmgQAN52RmfZz2pbxp57pebRDKaWEkFa7VOazuJyQC4Rg\n",
       "OQ7+wObOmQ00fLxlc91V112nFWZlwf7yYn7fyy+TIQcPEBTko/m2W1Cl0bjHO51d/lC044I/lLkj\n",
       "nopPmDtl7m2PzrzkcnV9bQ3/0rwHBz6Tc+janhT72wFIfoqPv4WwnCytvOzjm3y+hgCbZgF4CMD5\n",
       "bdt2AO8DeL3tfzwMlILSgL3dSwFuBSBeC9Rb/bkyz0w04knASLWXEonmeTZskJRVRhXzltoraNAU\n",
       "HyRI79P3RWRMu4Bso7HtuRZCyAkXAYIisn9R5W0uqhdGZYcQwsDnMFDeZS5sf5GV60eycr2g7X8B\n",
       "K9ePPHNTPXdgRIrBRCCdQ3lPCXUY3uutlR5KqSdmwKBfy6rKbowIj5ZW/P5bq7uyeGVXbSIAn3bX\n",
       "H7fee+s//qMJ0coqq6vU73/2ZbKYYVD/9jK4PvoQMQaDMAZYxgPT3oqObm0J1Yd7jYZd88vKPmgX\n",
       "gIv1YSNoRvpCfXikvLy4qC59z+7brwb+kgJCHp8w+4JLr1ADQERUNHPejIsyPsw5FHnnMRV0AmE3\n",
       "IF4zfMS3//fcwmyZVI7FC5+9ePn6ddecIN9jOvzi8QIA8AFuBniP+JPodpmq4jlggFEqixllt+09\n",
       "/pg2AuIfAbpTEaKShid9odeEa1RJQ+stlYev5j3ufpEMnBCiZPUZi4WJU9ssGPYEd8GqtwDccIan\n",
       "FiTI2U/fF5EbCSGrAHwNvzn7CgCbCCEyBJAOLigi+xGUUhcjVs6x7f9yKRHKZLy9Nc9nqrn76Ote\n",
       "11989o7fDnLqYaQhMwRhmR8IYkZEUrvB7SzZcCEh5LLeWq2qLsj518/LFv0uEEtG8a1Nv1/b2rzP\n",
       "CX8gS2fc7nZXY9euOQDwki505GcfffDu7f+6OzT83/fjv01N9ZO//WZLCKWXMcAVd9XXQ5Y9BFUz\n",
       "Zp6/8LuV0c8WFjzbDDAka+DLS958KwWEwG61xj1wx62vYt/euceO43a6fJTSo6ujZrPJq+iBOXtl\n",
       "WNjsRx57YnBcnD/DxDMvvZx495xrHkLekYeO25UAGAv/avssAOA5DtLr5qB4yDDf28vfUT6fd6RL\n",
       "AflAYuqT6efPnpOdlKbavfq78tI92+983GzKaTdfrwXMhUCTOiL5u9Trn8smDAPe40os+PTJT9CH\n",
       "VqpPQAyjiDpqsSACKSCQRZ3JCZ2tEEKEnCZ2MStWDuCdljKPoeL+nuQODRLkNHIP/C5x4+EPsPkY\n",
       "wMq2a9jkEzUOish+Bu80HwQwocPX7C2vucq3PceFJEZ4W0vreHvLa6d5euccjFj9kDDhvEhCCKCS\n",
       "CgVhWeNdlrokAMUnbNwD2k7sz9oeUBCiqgfCrgCciQFUWXmsuWnX819//XjOnj1zvT4vzxaXvHEF\n",
       "pTvNwOvGmNi1sTXVUvvPP0H780+ih2SymwFUHQE2ZA4cqESbOJTK5dBHROiO75stLnp16YvPx8++\n",
       "9vqo0sJ828Etm9YtArod9EUAQpg/7fRtopQBgOdjYi4KkcquGl1Xq8s2m0MZf51rAHAdiY62Tv7i\n",
       "ay2r12MkINm4Z/fEirwjXFwn78u3gCZq2OhLx8y6SgUAcWlZ8R8/ec/8fYf2zv0BYLe0RV8TQgRi\n",
       "XYyGMP6iSoxABKE6LLS7x3UGqeCNFQ1Ul6YihIB3WSj1WHvl+3muIwiJ/0Q18qYrOXko67MbqPGP\n",
       "DyMBXHym5xXkzNHXA2vaLGfftj26TVBEnkX4rI3vE0I2eWr3D6Ee+wFKafBC0dsQQv7il+hPv8R0\n",
       "uv8pxkKpiRDiagQiLgG48V3U3V4KRDsB4b9ra9Yoa2t+Pe7l8rUjRjQ8/elnCdavv4L1m6+hamoS\n",
       "AXh+AuDM/+Jzl2vsOAgHDYbJZEBDTU3d8f0/0dy4462VKy5fsnXjFIeAOy9z8JAhr8VE/2LNz3vr\n",
       "yaqqnwI9ptkNDT8u/c+LNz/1wkuDpHIZXn52QXlWUdGynUrl4vsY9ipFQf7R3y0K1BC/GeazDVmD\n",
       "Ppqm12vbX+N5HxV2kfuyHpAptaF/umwSAl4oEr0BeHKA6vZofEqpR506opn6fHGEZeFzOeAy1veb\n",
       "1FWUUisjVt/mLvh5CRFIJdTRmketDff2pK+2LzsJBud0DKeMGMjJQ1kAYKUawqmi04+tehXkHITv\n",
       "m6cKIWQbpXQcIcSKv/9OUkqpMpB+giLyLINSWgKg5EzP41yBdxjecJVvyxLGjAznHa1eT8PhHQCK\n",
       "TuccKKVOQkhlAxBWA8guAWzHmrddAJ5IS399yJQLJklkMvaZ1T8cvjn30E0DjylxpQRoTU7OVyvW\n",
       "rf3n8JkzNb95vfXaFV/+NNZsHkCACelNjeKWa66ERSL1VAmFTfebjBsAhOO4PKD/8vmqH1Mqp44Y\n",
       "MWKqUqkilPLwxsY9/cb7yw/cC1QFcjxjAIf7j53XfDznmieSXK6EW4wGuxT4GWaPHGYziEgEyfkz\n",
       "cDAkxPbDxx/Nebht1be5qODrrz//LHrmrFma/Xt224oPHFg/t4vKNzcBNU9u/q144PhpI8UyBXZv\n",
       "22AtbWr4pQaoOf6ib6stnlPw6fyPhOowjbOlutZSfqhf+RPyTuNWACNOuGMXMFLdXCZ9sIvHAAAg\n",
       "AElEQVQk+THCicWMIuIwtdZfTSnt9KblXIR325zHunRQt9UZFJDnOH3046eUjmv7Kz+ZfoJlD4ME\n",
       "OUkYiXo04UQ3gPeV8vaW1ymlJzQr9waEEKIHVJMB/WzAleZPOI7HVZrpUx9f8PaQsRPFANBUV0uX\n",
       "P3b3m0sqyhYd38dCjsu0h4YODG1o+ON+nm8v+poA4HoA1wLQHLu/lWENhPdtlAHrAex6hWU12Q89\n",
       "/PMtt90uBICCggL8uno1dn294u4Xmpu/72L6EvgrAo2EX+wMA6A4dodGicSc9vg8pfyiWWCUSry9\n",
       "7E3P/tdePf8J4Ghw2Qu60HE2jWYyYzId1DQ25GgAxz+ATiO7NwGyFXFJCxxyha7VZv2ptqxoaRdz\n",
       "PGchhESx4dk7BLFjYwCAuizUXfzrMt7aeM+ZnltfglOGXSDUJS8VRWRGuhsL691NRY97jDVfnel5\n",
       "nWv0FX1BCKHesv09bs8lDPlb2UNCyEwArwFgAbxHKX2pk7FHANgB4GpK6XddzDEJ/htnJyFkMoCB\n",
       "AD6hlJ4wqAYIrkQGCXLS8A7jTgA7z/Q82lY8jIQQZykQdgEgPR+we+XyuIjYhKOLk7rwCELEkoj2\n",
       "7efF4kFmjW6IrrVp53yXKxd1dbnHdV0G4Hn48y5muYEJtXL5XXE+n0rucGj+v707j4+rLvcH/vmc\n",
       "mex7ujdNV7oBbaFSwAq0IGgBZVFBENSLIlwB5SKKgAgFLvpDFlFQ4AIqV65U2UFs2WzZoUBZCt33\n",
       "jbbZ0yyTWc7z+2OmJYQkzaQzOTOTz/v1mhc5M99zzpMhTZ75bg+ik7K/BgA/iUQMd9/FbY89CmfA\n",
       "AJQPGIjRS5dGDq2uPhhAJYCyMDCoKjt7WpZZUWko1OaPJosliJVGbGcTgMUA3gLw2g1+/6GfW7Xq\n",
       "5tMO3spNr7+G1kAgq3nS5O9hxfLLd59wZXXVq69XVy15+MBpDxxw9rkTd9XWhn766sKnb1694qqO\n",
       "79c6wP8ewI83rr14K1CrIdpujXVKKofvPmBOEenPG+tlQKko3LhjPslDW9e/th+A9T2p+CEZLoG/\n",
       "Vkj6ANyB6P63WwG8RfJJM1veSbsbASzAZ3+vdvQogM+R3A/A3QCeAPA3ACf0JCYlkSIZZvfw9gag\n",
       "dCUwaNiO7S88+4+//uDbl1w5giSef3RebVF93eMAcMXY8T+accpp50+ZcXjZmwufq7pqwZP/7783\n",
       "bZzXxaUjAN6/urS04qd/vKuoctpBCC77CC2vvYrld925o7K11Q+gnA0NCDU0AKujo/oHRT8xn7v7\n",
       "In4Aw4KfWbQdQbTm92J8kjh+qgcxLyvrwJlHzeaadesxYOAgXHDxT/DDN98s73ihh8aN/8V5c28+\n",
       "vGRAdO1P2eChp119y3UPXxeJvAdEJ43+E8h/AQi9BWzW6tkeWenWrd/sK6kcDQBuS23YQq0fehxT\n",
       "SjKzGgA1XschqSHBC2sOBbDGzDYAAMl5AE4GsLxDux8hulCmJ1NYXDMLk/wagNvN7HaSPe4+VRIp\n",
       "koFivZJ1JFtnhENtBQuf/emtmzdekJWdzcjmjQ/dsOPjf7cBKJ846fTjv3FmGQCM+I/zBv129cpz\n",
       "0HUSGeU4fsfnd+j3I2fqNPj3PwD3Pv/c69cuXXohAd+9w4Z9p7By5DlF5hZi/fr1J1RXP0NgEABb\n",
       "5vMNrPz+908fc9DBfPqll9AIw4frNtS7G9adf+nOna90drv/Hjp09q7i0q+GW5q3z3/isfXX3njz\n",
       "GL/fj8ce/ns9q6v+2bG9Py9/8O4EEgAqxu5X+EZxySjU1b73BpAzH/C9CFQ1AY2ar9YzZrbTySu/\n",
       "KLh6/rX05eS4rbXvWUvVlV7HJZLyEptEVuDTc8u3IFpZZg+SFYgmlscgmkTu7XdckOS3EN0q7aux\n",
       "xXNZPQ1ISaRIBtvdKzmosaHxmCWL320/V7INYE5unq99+47Hnfl6be2zd9x60/vX33jTtKLiEtx4\n",
       "/bWby9et272dVKQ+FHo/OHSoc9jJpwz68N13ed0zC3zXrF51AwD8b37+sZccOeu0x1ev4pTTvonJ\n",
       "+x8AMyu9/pdX/ubhRx4+8RtAXft7XT1q9JlHfOvsK0867czyDevWhG/55ZWLf/wf316Xl1/gb9m8\n",
       "6clrNm9+smN8WXW1z7zx3NNHHH7ciSWu62LhY/M27VdXu/geoHBhdN/HGi/qoKc7t7X2aQBPex1H\n",
       "Mjn55cc4eWW3MLsg322pWes2bjvdzJq8jkskpicfem8DcHmsyhmx9+Hs7wE4H8ANZrae5BhEyx72\n",
       "iJJI6RMky5hXfjEAxyKh7cwumIVIaJO11lxlZgmp25xuSBYyt+QbMAtZW+MjyVrp2q5XsmUdMHQ2\n",
       "UHA00DoYcDcv+/CttSuXDxs3cXL20rcXt+xYveLlvV1vBhBofvPN0y773jkXIstfXLFx430XBwK7\n",
       "F+EgNGnSL+b++jdjHMfB52ceMfhXO3Z8d+nqVX+aArSdu2vXi3fd9tt3JkyZMuP0M8/e/T7guONP\n",
       "HPGHRx8d/w1zF7e/V+GYcaedcsbZ5QAwdvxE/xFfmjO+/ne3fOm70dJcnbph6+ZHLn/gvuL3Fj13\n",
       "fKC1xcXqFb+tAmpfBnaYWUsv30bJcCTzfQMn3pk9Yc4EkrBgy4S2FU/djeiiMpHeiaMnctGbS/Di\n",
       "m0u6a7IV0bnlu1Ui2hvZ3ucAzIvtEDAQwPEkQ2b2mQ/cAGBmHwH4MQCQLAdQ1NVinc4oiZSkI1nG\n",
       "4spFWaOPmgoQ4S1vuP7KmQ7ckBta9++DSH6pvw0rkiz1lY1+IXfc0dNhrgXW/vsiksckc36embWR\n",
       "3LQCKFwMDJoFOBevXHbJ76/5+WoWFu3v7GpYfP3mjX/pybVmA82z1639TWevFRWVZDuxjblD4RDo\n",
       "c/IeAsZPAT7cDwid9M7bZ/ytpfmhHTu2Tx8yZCgA4N2336oaa27HX4aIhEOf+rkIBgJuXg82VZ+7\n",
       "af2fX960ft4rABcDNVVAQ39dOEOyjIVD/4dZ+UMs2LTWmnde0B/mgZLMBlAAoL6Hv18qfCWVA3dv\n",
       "z8PsfDC7sHIv54h0z+1yl7HPmD1jGmbPmLbn+Lrb7+vY5G0A40mORrSc7DcBnNm+gZntWfBG8s8A\n",
       "nuoqgYy1eRHRDfH9AN4BUBXbQ/KSnsSsJFKSjrllF2SNOnIqs6PbUfkrZzqRmtXwD53qOGVjpkSa\n",
       "dwxDnPWV051TMOjyvMlfne7kFAIAcyfMOaz1w0fPA/C7eK6TXT7yh/6Sigsdf44/WLfptVDN+nO7\n",
       "S5Zif0x3kWx+ByiaCQw6btP6+44EWrsrnRiPHevWLn5vyTv7jxs/PvemG2/EAdOml5X/14gHr1zw\n",
       "9PxfrVh22cFAILx8+WlXXvyjP009ZMZ+1VU7g9XLPrrnl538DITWrLn7vtt/O/qk084cunbVitYl\n",
       "Ly168dfd1MIOAHgZyHsF4PtA3ZZo8ujJlkupgkXDHssa9+VZ9OfAgk1HhNY+XwDgdK/jipeTP+Ac\n",
       "ZOV/HW641ZqrLjE3/JkPHXvaFgy+xDdo8kXMLsyJNGxZTfKrPRiW3hpp2FztG3JAebQnshkWbOrR\n",
       "3qYiXbEEbjYeWwBzEYBnEF2weJ+ZLSd5fuz1u3tx2RIzayR5LqJb+1xDcmlPT1YSKcnHbqZkhAMh\n",
       "dFNlJWPRKaQv+5NDXzZBp6ibMzq5hH9y8bRT5xYfeOJgAAjWbBhd9/qf1gD41d7OjSWaDSSblgGl\n",
       "bwDlRwOR7ire9NRVK1dcf8Pcq3e15Rd869rf3llRUlrqA1BeWlZ+ytXXXfXgdZHIuzOAwIz33/vW\n",
       "W++/l3s0EBwIdPqb9urt2569dd7/bf7vF577sm/XrlVzq6v+1Vm7AIDXgdxFgKPk8RMks3xDpoym\n",
       "P1qYh9mFZF7pRI/DipuTX/5d35Cpt/gGTiozN4zw2ucnk/y8me3q2JbkSH/FjJ/5K2YMAwDf4AMq\n",
       "gqv+9XtE5351ycxanPzyHwZXPHUzswoK3Jaa1e6uj89P0rck0itmNh/A/A7PdZo8mtk5Pbikj+Qw\n",
       "RD9Y7t4Krccjg0oiJemstfbO8KaXv+kfNWsKSIQ3vhJyhhyYFaletctt3PqImXXZs5Sp3EDDbYHV\n",
       "z56QO/H4MTBDYM0Lq9zmqnvjuYYvv+zQ3Iqpg3cfZw8YncPsvIPjuYaZRQDUkGz8ACh7BSg5DIh8\n",
       "Hgj0tmcyB8B1q1fd9suDPndASWlpxe7nK8eMKwgUFg1DQ/2e7SNm9CBp/UlT03I0NXXcwgIA0ABw\n",
       "CZDzCuB7B6hV8vgZYQs275kHamZAsCX95oVmFXzdN3BSGQDQ8cM3ZMokt3HzIQAWdtJ6FAs/qW3O\n",
       "rHzQnzu0J7dxW2r/DWB6QmIWAeIazvbIdYj2bL5qZotjm4/3uOqakkhJOjOrJTk7tPpfPwHos9aa\n",
       "h92W6oMQDqywSPBVr+PzgoVa1zAr9/hIc/UvAIu4TVVXm1lc9ZgjLXVvBra+vyO7rHIIAARr1rdZ\n",
       "sKXbWdldxhNdrbyTZP2LQMFUoHw64BwEBHev5o6Xr3rnP+c//vDnjz/lG2XhcBiP/9/96w5pqE/I\n",
       "puxLgJyPopuFR5YBdVXALiWPn2Vm5uSVXxFav/Bmp3BIudu4ZYcbqOtV3WxPRULNFgmBvujOI9bW\n",
       "2ARzu9qL8SO3ZvUGp7hyP5Jwm3a0Wajlrb4LVqSdFE8izewhAA+1O14L4Os9PV9lD0XSWHb5yP/0\n",
       "lwy/0PHn7p4T+YNELCAh6QDImw6UTwRyp/eyd/LqUaPPzK0Y+dVAoDVUtuKjGy5paVm197M6twXw\n",
       "LQFy3gGwBti1EtgFoDWdF2WRzAZ9XwAsAnNfS1YiTLIAwDAAW9Kx3jXJoSyufMY/5MDJ1rarOVKz\n",
       "8iG3aed5XbV3coo/z7yy38Cfk22t9W9YS9Ul/XVhVX+UKvkFSQu990yvz8866MufKXuYaCTzAHwf\n",
       "wP6Ilp8Fop8/u53+sed8JZEi0h2S2SOAoolA6UTAGQNERgHhsT1YJb0vAgBWA9lbAP8ygGuA4Aqg\n",
       "dhfQEhuGT2sk85yi4c/5Kw45FGYW3vr2K27Tx3O0h2XnSOYjWl+9zsyWeR2PpK5UyS9IWmjJ/L03\n",
       "7ELW9OP7Iol8GNGKN2cBuBbA2QCWm9mPe3K+hrNFpFtmFkR03mTdC0B2IZAzCSgqB/L3A5iopHIn\n",
       "4GyIJo2+9QC2AZEaoHUDUNsEBGJxZAzmlf88a9yxM53cEgIAswtmBVcvOA/AHzwOLSXF9vjsl9Nf\n",
       "RJJoPzP7BsmTzex+kn8D0Gn1sM4oiRRJIySH+MtGPeDklQ1xW+urwg1bzrZI6OO+uHdsODAQezSQ\n",
       "dJ5tl1QWAfmliG7MVwCgGGAxYPmA5cVW+7UCbAHYCjAAWDOAZgC7AO4EQlVA4xqgFUAw43vk6BvM\n",
       "rPw9vQzMyvfB8Q3u7hQRSTMpPicSwO4P5w0kpwDYjmiZ2h5REimeITkY0R/WNYmoWkOyhAWDfw9f\n",
       "ziCEWl611ppfpfN8uc74y0bPKzj4jNn0ZcMiITS/++DfARzlRSydJJUE4MQevt1fFwJOaawWaxCI\n",
       "7AQiiG7p86lHJgxRx8NCzXeGNr32lazRR1UChtDmN9ZboPEvXsclIoljqZ9E3hOrVHMVgCcBFAL4\n",
       "ZU9PVhIpnnAKBl3uDJl2EXNLi9y6devp+L/S3ebBe0PSYeHQp/1jj/0C/blwm7bPjmx5owjA5QkM\n",
       "23NOfvmw3ftL0pcFp2DAMK9iIVlcNOrA+3PKh48ONlTV+XLyzwkHmjcimiRmdi9iAliweamTU3R6\n",
       "sKXmMsBcN1B3nUWC6/d+poikjQRuNp4MZnZP7MsXAYyJ93wlkdLnSA52hky70F8xowIAnLIx08Jr\n",
       "FvwBwMn7cNmhTsnI/eiPrh92CofmuTnFRyYg3JTittbXm+uCjgMzF25rfV1f3p+kH8BUAJGiUQfO\n",
       "nXDW3FOyCkrhhoNY+ddfPgxgRl/Gk+7ctl1vAPia13GkCpK5AKYgWqqwx3vViYg3lESKFwYxt3RP\n",
       "dRY6fsCXE1e1lk40WrBpz9YlZi4s3LbPQ+SpJtJcdU7zew/+1VcwcGCkuaY20lT1/b66N8nc/Ir9\n",
       "F5Qf/NUZFglFWre+62YVlAIAHH82CiomDCFZYGbNfRWTZA6SA1lU8Yxv0OTJFmxqcQoGP+Q27/yh\n",
       "13GJ7Is0GM7eJ0oixQtr3Lq1G5yyMdPo+OE2bQ8g2NTj1WCdMbMmp2DQXZGP372Y+QMHuLVr1lug\n",
       "7ieJCjhVuIHG5QAOIZnV1wtPcgaMvKJiziVHZZcOJQAEtn1objgIx58NM0Przk27AKRfNRRJCSwY\n",
       "/Fv/2C9Oj03XyIPjP5PkXWb2vtexifSakkiRxDKzNjr+r4TXLPgDfDmFCDa9aq011+zrdd3mqv9H\n",
       "ch6ACgAfmVn9vkebmrxYuUx/9vCsooF7VhMX7/8lrrj/F9sKKydFWndu2tW6c8OFmbaQqSP6s8c6\n",
       "uWUXwSKNbkvNzWbW5HVMGcPxF3+qnnxOSREcv1arS3pL4TmRJEsBzEH0byYAbAHwTDx/O5VEiidi\n",
       "i2j2ZQ5k59c12wBgQ6KvK0CktfFPVW/MO2HQzLOGA4b6Zf/e2Lxt9bGN697dDqA58xPI3In+ARPm\n",
       "54ybPcbCQbStWnA8ydlm1up1bF2JrZhHWvy/CbU+GqlZfaRvwPgycyOIVH20Em54sddhiWQikt8B\n",
       "cA2A5xBNHgHgGAC/Jnmtmd3fo+sk43cLybkAzgVQFXvqCjNb0KFNSuwoLyI9l1NWMSerZMiPYBEL\n",
       "1m27PthY9abXMfUVX/GwB/KmnnEWHR8AINL4sQWWP3Gm29b0d49D65STP/BK5pV/B47PsZbqRdZS\n",
       "fX6qJ5NO/oAfIKvga3BDbdZSc4lWq0tvpEp+QdICCx/o9fm5R5+dtIo1JFcBOLRjryPJMgCLzWx8\n",
       "T66TrJ5IA3Crmd2apOtLPxdbJVwBoNbMdnkdT3/RVrd1AYAFe22Ymewzh4aUHKtiVv5M37Dpl/oG\n",
       "TS4HALdp+4jIplc+BPB7j0PrlttScw+Ae/baUCRdpN+cyLg+aCZzONvzTwGSmej4h7Oo4imnZGSl\n",
       "BeqbnPyBN7kt1Xd6HZdkNre5Zm7bqgWfzx47exzCbRbc8PIbFmp+yuu4OuXPmekUV5TvPmTBkDw4\n",
       "WYd5GZJIv5S6SeQNAN4h+Sw+Gc6uBPAlANf39CLJTCJ/FBtzfxvApZm8yEH6FgsG3+Ufd9x0On4A\n",
       "GBTe/NrPST6onzHpDZJlcPyHwA1/bGYfdtXOIsG1dPxHuy0155sbabTW2jvMLNBVe0+F2150GzZV\n",
       "+QYfOAgAbNfWZrihl7wOK92RLGFe+SUA8yxQ/ztzw9u8jkmkN2J1sp8C8GUAw2NPL0J0+mGP9x/u\n",
       "dRJJ8jkAQzt56RcA7gRwXez4egC3AOiz/ewkw/lzSmIJJACAeeXFiJZPVBIpcXGy8yf7B016LGv4\n",
       "QePd5poGX/Gw+yONH1/SVXtzw5sRLQ+W0izU8paTP+B6a646F47PZ621z1qg/n+8jiudkSxiccXC\n",
       "rFGzDobjR3jTK6fS8X8x9jMh0ilL4dXZZlYL4MF9uUavk0gzO64n7UjeC6DTIZ/YApzdFpnZot7G\n",
       "I/1IsGmJ21Iz08kf4Dc3Ard+42YAG70OS9KPUzDo5txJJ06k4wNKR5ZZuPUMkreYWa9LcKYKt6Xm\n",
       "dgC3ex1HpmBOydn+ypkHM1YXwT969vjQyievAnC+t5EJydkAZnscRudSdzg7IZIynE1ymJl9HDs8\n",
       "FcDSztqZ2dxk3F8ym7VU/zSy6WXHzS6abuFAs7VU/9DMgl7H1VMk/cwfcA182ZMQbnvFWmt/n+qr\n",
       "ZjMVfdk5u1dbA4CTU5wHoASfzBGSFECykHkDboQvazDCbY+4rbXz+joGg/6NpqpYB9Si3cck93nf\n",
       "4YRREtkrN5I8CNFVPuuhT2qSQGYWAXCx13H0FguGPJg19uhTnLxyf6Rx6wnhTa+NBHCp13H1R26g\n",
       "4Z+hqpUzsgZNLLZQAKEdH64CsMrruOQTJP0sHLrAP+aYLzArH5HqlV908sqL3Nbavl3F3db4QHjT\n",
       "az/IGn3UdDhZCG96eZW11vV4AYL0T6k8nE3yYADjEC3Osbw310hKEmlm30nGdUXSHcls35CpM5y8\n",
       "cj8A+Ior8iP55Ud7HVd/FWnaeZuvcHBr6OP3TrRwsM7d9fF/eVENSLo10Rkw8UBm5QMAfAMnlrkN\n",
       "G09HH28FZGZNJI8OrV5wMcg8a629vd2Im0haIXk1gLMBvAPgJpK/NrO4502rYo1I3wojEvx0khIJ\n",
       "9cl4B8kDQGcwzF1iZg19cc90EGnaeTeAu72OQ7rUjHDrnukqZi7ghsNeBGJmjYhj+xORFB7OPgPA\n",
       "QWbWQnIAgGcAKIkUSWVm5joFg/8c3v7BT5zi4QMitWu3WaD+lmTf11c07PaccV88i/nlJaFt766k\n",
       "P/srFg6uS/Z9RfaVmW1wCgY/gayCM5hbUuju/GitBeqv8DoukR5J3SSyzcxaAMDMakg6vblIUsoe\n",
       "9ujGKVKWSMQLdPzTmJV/sAV3vWJma5J6L3Js9phZb2SPOCS6Z6AbRuvSR56MNGxOeO1ykWSh4/8C\n",
       "/LmjEWp+wcy2ex2PpK5UyS9IWvPDN/X6/IJv/CyZZQ8bALTfO/ZIAC/HvjYzO6kn11FPpIgHzA2/\n",
       "D+D9PrpdqZNbXLD7gI4f9Gfn9tG9RRLC3PCrAF71Og4RL5GcA+A2AD4A95rZjR1ePxnRfbrd2ONn\n",
       "ZvbvTi7VsROh/YhYj3sXlUSKpCmSDnNKzoEvaz8Ltc6zYFNXSelHoY8/WOErHTWd/hyEdq5osEDj\n",
       "k30arIhIf5TA1dkkfQDuAHAsgK0A3iL5ZIeV1c+b2ROx9lMAPAZgv47XStS+3EoiRdIQSbJgyENZ\n",
       "I2d+hbml2eHt733byS091w3UL+jY1szaSH659cNHfkdfdrEFm5+KNFepeomISLIldk7koQDWmNkG\n",
       "ACA5D9EexT1JpJk1t2tfCKC6swuRPAXACDO7I3a8GNHKbwBwmZk91JOAlESKpKexvoETZjlFw7IB\n",
       "wD/i8IpQS82lAD6TRAKAmVUDOKsvAxQR6e8ssUlkBYD2ZTa3ADisY6NYgvhrAMMAfKmLa12G6Art\n",
       "3bIBHAKgAMBfACiJFMlgDujsmXBNEgA9n0guIiK989Ky9Xh52frumvRorqKZPQ7gcZJHAvgrgImd\n",
       "NMs2s03tjl8xsxoANSQLOmnfKSWRIulpTaR6xetO4ZAvM6fEH9n+/nZra7jD66BSCckyFg65lU5W\n",
       "mYVannRbav7kdUwi0r/EU7HmyEmjcOSkUXuOf/3owo5NtgKobHdciW5KtJrZyyT9JAfEEsT2yjq0\n",
       "vajd4SD0kJJIkTRkZkbylNCa534MxzcO4bYH3LbG172OK1WQzHaKRzyTPeH4GfTnIly9cpZTMCjX\n",
       "ba76o9exiUj/YZGElj18G8B4kqMBbAPwTQBntm9AchyAdbG/EdOB6D6QnVzrTZLndaxSQ/I/AbzZ\n",
       "04CURIqkKTMLA7jV6zhS1CTf4AMm0R/dycg/cGJppHr1KQCURIpIn0lkEmlmYZIXIVpdxgfgPjNb\n",
       "TvL82Ot3A/g6gO+QDAFowqfnPbZ3CaJD3t8CsCT23HQAuQBO6WlMSiJFJBM1WrCpFUAREJvc7gaD\n",
       "ezknZTE66RXmVXUIEUkJZjYfwPwOz93d7uvfAPhND66zg+RMAMcAOADR+Zb/7GJPyS4piRSRjGNm\n",
       "G5yiof+gL/vbzCsrjmz/YJXbXH2p13HFiySZP/B3zoCJxwOAUzDoMbe56jKv4xKRnolnTmRfi30o\n",
       "fSH26BUlkSKSkdxd239E8l44WcPght40szqvY4pbTvFZvmHTv+eUjCwAgEjduvOZU/Sqte16wuvQ\n",
       "RGTvEjwnMuUoiRSRjGVmfVleMuHoZH2BRcP3bLfhFA0vdn3ZMwEoiRRJA5meRDpeByAiIp0zN/ys\n",
       "W7+xYfexW7+xziLB57yMSUR6zo1Eev1IB+qJFBFJURaof8zJHzjNGjefCjNYoP5v1rbrea/jEhEB\n",
       "lESKiKQ0t6V6LoC5HochIr2QygtrEkFJpIiIiEgSZPqcSCWRIiIiIkmQ6UmkFtaIiIiISNzUEyki\n",
       "IiKSBJoTKSIiIiJxczN8OFtJpIiIiEgSaE6kiIiIiEgH6okUERERSYJM74lUEikiIiKSBFpYIyIi\n",
       "IiJxy/SeSM2JlLTC3JITnKLhTziFQx6iL2us1/GIiIj0V+qJlLTB3JJjnbJx9zlDpg2FuYhsemkq\n",
       "ySPMrMrr2DIZSSK76HT6/OMs2PywhdtWeR2TiEg6yPSeSCWRkjboyz3XGTJtKEmAPviGTJsQbqk+\n",
       "EcBfvI4tU5EkCwbP81fMOIk5JbmRHR/8J3OLv22BxhfjvM4w5g24FLCQtdbeZGa1yYpZRCRVuJoT\n",
       "KZIazCL1iAQBf070ONTShkhoh8dhZbqxvvL9vugUj8gFAF/lzEo3UP8LAD1OIun4hztlYxb6Rx01\n",
       "AW4E4Q0vnkhylpnVJS1qEZEUkOk9kZoTKemjtebyyIaF77i7tkXcuvUt7vb35iPS9ozXYWU4Pxz/\n",
       "nt8TJEE6jOcCzCu73D9q1gT6c8HsAvhHfmEKc8vOTXyoIiKpxSKRXj/SgXoiJW2YWT3JIyPNOw+H\n",
       "RZoBvGVm5nVcGW51pHrlOywadgxzip3Ijg92WlvjPXFewz57YJn98VxEpB9QEilpxcxaASz0Oo7+\n",
       "wsxckieG1z57JegbZZHgAxZoeCGua7RU/yq8YeFx/pFHToZFEN70ynsWqI83ERURSTvaJ1JE+jUz\n",
       "CwKYuw/n7yA5K9S260KYhSxQd4eZNSYuQhGR1JTpcyKVRIpI0sW2YZrrdRwiIn0p0UkkyTkAbgPg\n",
       "A3Cvmd3Y4fWzAFwGgAB2AfihmX2Q0CDa0cIaERERkRRH0gfgDgBzAOwP4EySk8FltpEAAAxfSURB\n",
       "VDs0WwfgKDObCuB6AP+TzJjUEykiIiKSBG5ieyIPBbDGzDYAAMl5AE4GsHx3AzN7vV37NwGMSGQA\n",
       "HSmJFBEREUmCBC+sqQCwud3xFgCHddP++wD+lcgAOlISKSIiIpIECZ4T2eMt7UgeDeB7AL6QyAA6\n",
       "UhIpIiIi4rHFH1dj8faa7ppsBVDZ7rgS0d7ITyE5FcA9AOYkuzKYkkgRERGRJLBIz+thzBg8ADMG\n",
       "D9hz/Mf3V3Vs8jaA8SRHA9gG4JsAzmzfgORIAI8CONvM1vQm5ngoiRQRERFJgkQurDGzMMmLADyD\n",
       "6BY/95nZcpLnx16/G8DVAMoA3EkSAEJmdmjCguiAXlWNI2lmFlcNXhEREZHupEp+QdI+OOP4Xp8/\n",
       "dd58pML30R3tEykiIiIicdNwtoiIiEgSuHHMiUxHve6JJHkayY9IRkhO7/DaFSRXk1xB8kv7HqaI\n",
       "iIhIerGI2+tHOtiXnsilAE4FcHf7J0nuj+iKof0R3RjzeZITzCw93hERERGRBIhndXY66nUSaWYr\n",
       "ACC2+qe9kwE8aGYhABtIrkG0VM8bvb2XiIiISLrRcHb8huPTm19uQbRHUkREpN9hXtm5TuGwR5g/\n",
       "8HaS+V7HI5Io3fZEknwOwNBOXrrSzJ6K4z6ZnYqLiIh0gnkDfu4bOv1Kp3RUsQWbLbJx0QEkv2he\n",
       "7a8nfSpd5jb2VrdJpJkd14trdizLMyL23GeQnNvucJGZLerF/URERFISc4pPdEpHFQMAswvIktEH\n",
       "WPPOCnRSrk56h+RsALM9DqNTrpvZnxUStcVP+4mRTwL4G8lbER3GHg9gcWcnmdncBN1fREQk9bih\n",
       "iJl9sn4g3BoC0OJpTBkm1gG1aPcxyWs8C6aDTF9Ysy9b/JxKcjOAwwE8TXI+AJjZMgD/ALAMwHwA\n",
       "F6jbXkRE+iML1F8V2fLaerelCm7NygZr+niemdV6HZdIIqjsoYiISJxI5iI6XWu7mTXtpe1w+POP\n",
       "RLh1lZn7bt9E2H+lSn5B0l47+qhenz9z4UspX/ZQFWtERETiwOzC6SwZ9YBTXDHEba6qZV7ZZdZa\n",
       "91hX7c1sG4C/92GIkiIyfThbSaSkNOYUHcac0lvhz81FW/371lJ9npmFvY5LRPov5pbd4Rt99GSS\n",
       "cAZMLA9vWHgDycc1dUs6UhIp4hGSRSwdc79v1KyJJGGB+qmRjS81ALjE69hEpB/LystvX2iDWQUF\n",
       "BmQBCHoXlEjfUxIpqWw/p3TUiN2/rJlb6kdW/hSPYxKR/i5Qv9KCTVOZXUgLt8FaajaYmRJI+Qy3\n",
       "P+8TKeKxLda8sxqlYwoAwMIBIBzY4XVQItK/WUvVdyMbFjUhu2A8Qi07rHnn+V7HJKnJtE+kiDfM\n",
       "rIp55XNt44tXMqsw15p3rLWWqgu8jktE+jczCwD4vtdxSOrL9NrZSiIlpVlr7V9I/q8BuWamDXpF\n",
       "RERShJJISXlm5kIVHkREJM3069rZIiIiItI72uJHREREROKmOZEiIiIiEjdzM3s42/E6ABERERFJ\n",
       "P+qJFBEREUkCDWeLiIiISNwyfWGNhrNFREREksAibq8fnSE5h+QKkqtJ/ryT1yeRfJ1kgOSlyf7+\n",
       "1BMpIiIikuJI+gDcAeBYAFsBvEXySTNb3q5ZDYAfATilL2JSEikiIiKSBAmeE3kogDVmtgEASM4D\n",
       "cDKAPUmkmVUBqCJ5YiJv3BUlkSIiIiJJkOA5kRUANrc73gLgsETeIF5KIkVERESSwLWeJ5FL25rx\n",
       "YbC5uyYpt0pHSaSIiIiIx6bkFGBKTsGe43nNVR2bbAVQ2e64EtHeSM8oiRQRERFJgkgcPZE98DaA\n",
       "8SRHA9gG4JsAzuyiLRN5464oiRQRERFJgkROiTSzMMmLADwDwAfgPjNbTvL82Ot3kxwK4C0AxQBc\n",
       "khcD2N/MmhIXySeURIqIiIgkQYJ7ImFm8wHM7/Dc3e2+3o5PD3knlTYbFxEREZG4qSdSREREJAky\n",
       "vOqhkkgRERGRZEj0cHaqURIpIiIikgTqiRQRERGRuGV6T6QW1oiIiIhI3NQTKSIiIpIEGs4WERER\n",
       "kbgpiRQRERGRuGlOpIiIiIhIB+qJFBEREUkCDWeLiIiISNwyfThbSaSIiIhIEmR6T6TmRIqIiIhI\n",
       "3NQTKSIiIpIEGs4WERERkbhl+nC2kkgRERGRJMj0nkjNiRQRERGRuKknUkRERCQJXK8DSDIlkSIi\n",
       "IiJJkOnD2UoiRURERJJAC2tEREREJG6Z3hOphTUiIiIiEjf1RIqIiIgkQaYPZ/e6J5LkaSQ/Ihkh\n",
       "Ob3d86NJtpJ8N/b4Y2JCFREREUkfEbNePzpDcg7JFSRXk/x5F21+H3v9fZIHJ/P725fh7KUATgXw\n",
       "UievrTGzg2OPC/bhHtIOydlex5Bu9J7FR+9X/PSexUfvV/z0nqWviPX+0RFJH4A7AMwBsD+AM0lO\n",
       "7tDmBAD7mdl4AOcBuDOZ31+vk0gzW2FmqxIZjOzVbK8DSEOzvQ4gzcz2OoA0NNvrANLMbK8DSEOz\n",
       "vQ5AUsKhiHbSbTCzEIB5AE7u0OYkAPcDgJm9CaCU5JBkBZSshTVjYkPZi0gekaR7iIiIiKSsBA9n\n",
       "VwDY3O54S+y5vbUZkdBvqp1uF9aQfA7A0E5eutLMnuritG0AKs2sLjZX8nGSB5jZrn2MVURERCRt\n",
       "JHhhTU+vxl6eFzfaPu5hRHIhgEvNbEk8r5PM8DVLIiIi4gUz65hI9blE5Dntvw+ShwOYa2ZzYsdX\n",
       "AHDN7MZ2be4CsMjM5sWOVwCYZWY79jWWziRqi5/23+RAAHVmFiE5FsB4AOs6npAK/4NFREREkiEJ\n",
       "ec7bAMaTHI3oqO83AZzZoc2TAC4CMC+WdNYnK4EE9iGJJHkqgN8DGAjgaZLvmtnxAGYBuJZkCNHa\n",
       "4+ebWX1CohURERHph8wsTPIiAM8A8AG4z8yWkzw/9vrdZvYvkieQXAOgGcA5yYxpn4ezRURERKT/\n",
       "8bTsIcmbSC6PbYj5KMkSL+NJVT3ZXFQ+QbKS5MLYZvgfkvyx1zGlA5K+2K4KXS2ak3ZIlpJ8OPY7\n",
       "bFls6Ei6QfKK2L/LpST/RjLH65hSCck/kdxBcmm758pJPkdyFclnSZZ6GWOq6eI9U27RR7yunf0s\n",
       "gAPMbBqAVQCu8DielNOTzUXlM0IALjGzAwAcDuBCvWc9cjGAZUjiSr4M8zsA/zKzyQCmAljucTwp\n",
       "LTaP6wcAppvZFESH487wMqYU9GdEf9e3dzmA58xsAoAXYsfyic7eM+UWfcTTJNLMnjMzN3b4JpK4\n",
       "l1Ea68nmotKOmW03s/diXzch+sd9uLdRpTaSIwCcAOBefHZ7COkg1rNxpJn9CYjOVTKzBo/DSnWN\n",
       "iH7AyyfpB5APYKu3IaUWM3sZQF2Hp/dsHh377yl9GlSK6+w9U27Rd7zuiWzvewD+5XUQKagnm4tK\n",
       "F2K9Hwcj+otEuvZbAD9DdDGc7N0YAFUk/0xyCcl7SOZ7HVQqM7NaALcA2IToytJ6M3ve26jSwpB2\n",
       "q2t3AEha9ZEMpdwiiZKeRMbmcizt5PHVdm1+ASBoZn9LdjxpSEOLvUSyEMDDAC6O9UhKJ0h+BcBO\n",
       "M3sX6oXsKT+A6QD+aGbTEV0FqWHGbpAcB+C/AIxGdGSgkORZngaVZiy6ElZ/E3pIuUXyJWqfyC6Z\n",
       "2XHdvU7yPxAdRvtismNJU1sBVLY7rkS0N1K6QTILwCMAHjCzx72OJ8XNBHASyRMA5AIoJvm/ZvYd\n",
       "j+NKZVsAbDGzt2LHD0NJ5N4cAuA1M6sBAJKPIvqz93+eRpX6dpAcambbSQ4DsNPrgNKBcou+4fXq\n",
       "7DmIDqGdbGYBL2NJYXs2FyWZjejmok96HFNKI0kA9wFYZma3eR1PqjOzK82s0szGILrQ4d9KILtn\n",
       "ZtsBbCY5IfbUsQA+8jCkdLACwOEk82L/Ro9FdCGXdO9JAN+Nff1dAPpQvBfKLfqOp/tEklwNIBtA\n",
       "beyp183sAs8CSlEkjwdwGz7ZXPTXHoeU0kgeAeAlAB/gk6GfK8xsgXdRpQeSsxAtU3qS17GkOpLT\n",
       "EF2IlA1gLYBztLimeyQvQzQRcgEsAXBubMGgACD5IKIFOwYiOv/xagBPAPgHgJEANgA4XQU8PtHJ\n",
       "e3YNoquxlVv0AW02LiIiIiJxS6XV2SIiIiKSJpREioiIiEjclESKiIiISNyURIqIiIhI3JREioiI\n",
       "iEjclESKiIiISNyURIqIiIhI3JREioiIiEjc/j8aKLljJLCBFwAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108aa1650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The trend over time is much more noticable, and the confidence intervals are smaller.\n",
    "\n",
    "Noisy points will have high assignment probability to the 'noise GP', while the assignment of the sinusoidal points is ambiguous. We can use this to seperate the points which are more likely to be noise from the remaining points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAtMAAAFrCAYAAAAThQW0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3X3YJFdZ4P/vPXkjCcZhEq9RQzAs4kpY3iKGYc3KIC8J\n",
       "+e0SgRWWlVXRH+BijJhBkawruWTFdTVjNrI/NgYkQUR0EdbwE5PBlfEFlcAESIQJJEg0LwssCTAK\n",
       "BJOZe/+oevL0PNNPd3V1VVdV9/dzXeea6X6qq++qU11996lzTkVmIkmSJGl2W7oOQJIkSRoqk2lJ\n",
       "kiSpJpNpSZIkqSaTaUmSJKkmk2lJkiSpJpNpSZIkqaajuw6giohw/j5JkiQtRGZG1WUHkUzDbBul\n",
       "ZkXEJZl5SddxrCL3fbfc/91y/3fHfd8t93+3Zm3EtZuHJEmSVJPJtCRJklSTybSq2Nt1ACtsb9cB\n",
       "rLi9XQew4vZ2HcAK29t1ACtub9cBqLrI7P/YvohI+0xLkiSpbbPmnbZMS5IkSTWZTEuSJEk1mUxL\n",
       "kiRJNZlMS5IkSTWZTEuSJEk1mUxLkiRJNZlMS5IkSTWZTEuSJEk1mUxLkiRJNZlMS5IkSTWZTEuS\n",
       "JEk1mUxLkiRJNZlMS5IkSTWZTEuSJEk1mUxLkiRJNZlMS5IkSTWZTEuSJEk1tZpMR8RvRMRnI+Km\n",
       "CctcHhG3RMRHI+IJbcYjSZIkNantluk3A+du9seIOA/41sx8JPBS4A0txyNJkiQ1ptVkOjP/DPjC\n",
       "hEWeDVxdLvsBYGtEbG8zJkmSJKkpXfeZPhW4feTxHcBDO4pFakxEnBNx8p6ixDkbH3cdn6bbUGcX\n",
       "W3/90+bnys/s8pi1LsctP20dHi8rLjNbLcDpwE2b/O3dwHeNPP4j4Mwxy2XbcVom1uE5sG1PUTin\n",
       "63j6uv3ry23dByfcC1dlUU66d/3xroStB4tljlzXqu/rvpSiHk76ynqdnZQj9fmVLutmkcdIn4/H\n",
       "w+uo2Xppat193n+LOD76sP2z1uUmy188aR1tHouWbsqseeciApqUTP934N+MPL4Z2D5uo4BLRsrO\n",
       "rnf0qpRVO0lsOPlfXCS9Ww8WCdXm23/kfjol4dqELB/vKB9v3zQpW8Z93Ycv03pxb9tT1EEmPDfX\n",
       "/79Wn8X2NL1txTq37oMHfwm2Htj4o6uJY6R6AnTivuKHYD+Px8PraL1e+rLuI+vqhHuL+mz2s9DV\n",
       "Z2zasbj+913l+W/rQeDiPh4nh+/DrfvGLP/5w5/bVT43eh5o51i0LOo4YeeGPDNnev0CApyUTJ8H\n",
       "vKf8/w7grzZZbqaNsjRZf8M5Scz7pTLmyyHXk+jtZTI8fvvH76fnbkimxydlQ9zXNfdnwy2H7SQQ\n",
       "5bo/v/4DaFy9bd3XdFJb7q97i2PulNEfXfeurXveY6R6ArR2zDZ3PDZdZ/1PpkfXce3GOm3ks9Dl\n",
       "D/Bp+6j4+67c0IBwsGp8TR0v0+PcuA+3HpycTI+ryxPHJeCDPXdbZs87j6ZFEfHbwFOAUyLiduA1\n",
       "wDFllFdk5nsi4ryIuBX4MvDiNuPR8ir6qJ30Lth9fPHMhWdHxHMy87rqa9m2q3j9D448dw3wK+X/\n",
       "f51izGxVd1GMr73wa3A/wHEzvHgJHLE/j4eLdgEz1MmRmqnrqut+EcUp7MKRpS78KhwE/lulbSvW\n",
       "uW1X8eieSzPzunHbAAf3w+XHrR9zD6z7uCb2W2FanYz+/RrgJuB55aIPr/2uxfae8PvwbeVn4Mbv\n",
       "jojz56uzey4t9htr+/CrcODSyTEcXg9NrXu6X2dDnR4Pr3gdc9dpO5+x5rwf+CVG4ttSJb5mP+PT\n",
       "6nLjPrxpC1x4iAfGlF34VTiwGy782WId/50xdVku19TxoqFpNZnOzBdWWOaCNmPQvJr+UmlLvS+V\n",
       "w79gD508+T3uYm37N34xAxv309fg4MfgorvX99dNr4MLH8/hJ+mRfTmUfd216nU9WwI1dt2Udbgb\n",
       "LtpZPD5w6fo6J9ssKdhkG75l+hoXeYycCfwX4PLy8YXAgb311nXi6+D44+BHy8evPA5irmSy/FHy\n",
       "nLLugQOb1u+sydks697caF3dNW6Bx0fEOU38COzGtGPxnkvh5qdRa6KDpn8kHNxffL4O/S0cuHjy\n",
       "Pn8McPAjxece1uo+IvaVMZwJbPiu2HI3fHHO40WD1nVTehvN7ZbG93/v+73WuSzL2D6Nh/URzZG+\n",
       "0geLS3kPXI4/4tJqlf00bZkh7OvZjpvmL0FXretN3v/iyft/rnVXXt/457fum9bNY95jZFrch/+9\n",
       "uW4eR/Y5LS6dL+q476oL1fp2nbgPTjq0vt+3l+eW+WJo6zM2+/Ztej67uDh3zhZfU/VVZf/Mug+7\n",
       "3ueWxZRZ887OA25joyyrV+qc4MafsE/cd/gAxCO/KIbct3nRyXob7zdfIrt14hf7mHXfu35MjFt2\n",
       "2o+nzZLpST/INh+AuIg6Gfn7uAS4wg/UcZ+ZcYO6tu6bpT7n2+buP7PFcbQ2dmLz8Rd9+Iwt8njb\n",
       "/DVNzKYyy4/j6jH2fZ9b5i8m05au66qzk8zsJ8R6X7B9+GKuv39m/cHR1CCgpgef1U1kd8zwxXrE\n",
       "FIc1BxmO3+d9/0JussWOBwZXHtnavojPUx9aE/sQw5BKE5+PoZ6rLd0Xk2lLl/U0qC+Lw+OdPP/z\n",
       "kLdzPe7Zvliaax3qZn+Ned9yisOq29/kpeb2k+Y23meWdVabNaG7Kz19+PHShxhWqbR97rE+l7eY\n",
       "TFvarIcpl4f73wqwcRuKcuK+Wfv1DfEkOnsy3VQy2V1SuuE1F8/W0tr/4/nw7ey65bXulZ7uY7cs\n",
       "b2nrXO1xu9xl1ryz1dk8tDzanI5sUcZPR3bgOXDc3bB7yywjx8vtHsy2F4Y7W0jd429jPY2MyGf6\n",
       "iPsh7a8+TJFWb39lIzNnSOO1d67uw2dOfWEyrYqqnDiaST5mn86sqk23YSXMnrQ0lUw2sZ5mvrhm\n",
       "+WI1yTvctM/lPPtrmD9OVVV753SpH0ym1Zgmko9uWsAX3wLZ1ZfLmJbaTeNoKpkcclI6nCSv3WO4\n",
       "6udyOPtrOBZ9rmj6/ZbhquZ4Q7pypdZ13S+ljb4rllbqYCH9w9rspzppG1hgH+hF7cuhxLFssXa7\n",
       "j9o5hofUf3yZyqKP+zbeb5mPnUV+b1gWXrc5y/K2TKuSHHDr4ppJ25ALbVHrS1+7vsQx3TIcf21b\n",
       "7DGsxVj0Z3Q454Q+8DOnNSbTqmwxJ452L5158hsu665LXtJWXR47Wn5RNmf3WkRkZkbXcWgxln2w\n",
       "ynofwstHv1wW3oewL3FoGJb9c9lHi/6MtvV+HjsamlnzTpNpqQN9+XLpSxySxhv6AMRl4/5ZDSbT\n",
       "kiRJDfNq3uqYNe+0z7QkSdJUDtDUeFu6DkCSJEkaKlumJUkrwz6vqs+ZSTSefaalFbNMycQybYva\n",
       "Z59XzctzzmpwAKKkTS1TMrFM26LFiDh5D+x+xnqf16uBi96befczZ1+XSZW0rByAKGmCZRpAs0zb\n",
       "oiFZ/yG3e+2H3NkR4Q85aUWZTEuSVkRTfV79ISdpncm0tFKWaQDNMm2LFiEzr4uI55SJL3DA7hmS\n",
       "5mafaWnFLFNfz2XaFg2H/fWl5eYAREmSWuYPOWl5mUxLkiRtwh9CmsZkWpIkaQy76KgKp8aTJEka\n",
       "y5lY1LwtXQcgSZIkDZUt05IkaemM7xvtlJpqnn2mJWlODmgaButpdUzqG+1xoGkcgKjOeILSJFWP\n",
       "j6EdRw5oGgbrabVEnLwHdj9jvW/01cBF7828+5ldxqVhcACiOrH+RbV77Yvq7Ijwi0pA9eNjmMeR\n",
       "A5qGwXqS1A6TaTXELypNUvX48DiS1AT7RmtxTKYlaS5+aQ+D9bRKyr7Rzyl/jAMHet9lTMNln2k1\n",
       "wv6ImqTq8THU42ho/bxXlfUkqQoHIKozflFpkmUdgChJWi4m05IkSVJNs+ad3gFRkiRJqslkWpIk\n",
       "SarJZFqSJEmqyWRakloQEedEnLynKHFO1/H0kftI0jJwAKIkNWyoU/wtkvtIUl95O3FJ6px3cpzO\n",
       "fSRpOdjNQxowL5NLUjM8n6ouu3lIA+Vl8v6ybqZzH6lPPB41ypu2SCsi4uQ9sPsZ65fJrwYuem/m\n",
       "3c/sMi4VvJPjdO4jdWHccef5VKPsMy1JPVAmhiaHE7iPurHKP2LWW6B3r7VAnx0Rz4Ft3QamQWs1\n",
       "mY6Ic4HLgKOAN2bmL234+ynAW4FvLGP5lcy8qs2YpOVxz6Vw4dnA6GXJSzsNSVKvbZZMrk5CvdnA\n",
       "V8+nqq+1ZDoijgJeDzwduBP4YERck5n7Rxa7APhwZr66TKw/ERFvzcz724pLWhbFpcl4TjkDAnBg\n",
       "pVqYJNXhLCrjeD7VPNpsmT4LuDUzbwOIiLcD5wOjyfT/Bh5b/v8k4G4TaTVhVS5jeplckmaxeQu0\n",
       "51PV1WYyfSpw+8jjO4AnbVjmSuCPI+Iu4OuA57cYj1aElzHVZ6vyQ28W7pNFWu3uDLZAqw1tJtNV\n",
       "pgm5GPhIZu6MiEcA742Ix2Xm37cYl5aelzHVT/7QO5L7ZLFMJm2BVvPaTKbvBE4beXwaRev0qH8O\n",
       "/AJAZn4qIj4N/FPgQxtXFhGXjDzcm5l7mwxWktrnD70juU8WzWRSOlxE7AR21n19m8n0h4BHRsTp\n",
       "wF3AC4AXbljmZooBiu+PiO0UifTfjFtZZl7SVqBaNqt9GVOSJFVXNtDuXXscEa+Z5fWt3rQlIp7F\n",
       "+tR4b8rMX4yIlwFk5hXlDB5vBh5GcWvzX8zMt41Zjzdt0Uzsg6k+8i5rR3KfSOob74AoST3mD70j\n",
       "uU8k9YnJtCRJklTTrHnnljaDkSRJkpaZybQkSZJUk8m0JEmSVJPJtCRJklSTybRUU0ScE3HynqLE\n",
       "OV3HI0mSFs/ZPKQanBtXkqTlNGve2eYdEKUl5i2QJUmS3TwkSZKk2myZlmq551K48GxgtJvHpZ2G\n",
       "JEmSFm5qn+mIuBD4zcz8wmJCGhtDQv/7dkuSJGnogqb7TG8HPhgRNwC/AVyXHYxazMQBiBqsYsDi\n",
       "tl3Fo3sudaCiJEn9FDFbC26l2TwiYgvwTOCHgCcCvwu8KTM/VSPGmTmbh4bMmT8krSobEjRErczm\n",
       "kZmHIuIzwGeBg8BDgHdExB9l5k/VC1VaFc78IWn1rDck7F5rSDg7ImxI0NKZmkxHxE8APwDcDbwR\n",
       "eGVm3le2Vt8CmExLkqQNbEjQaqjSMr0NeG5m/u3ok2Vr9b9qJyxpmTjzh9QEuwxI6qMqs3m8NTNf\n",
       "tOG538zMf9dqZIe/n32mNWgmAdJ8HHswPNaZhmrWvLNKMv3hzHzCyOOjgRsz84z6Yc7GZFqSVlvE\n",
       "yXtg9zPWuwxcDVz03sy7n9llXJrMhgQNUWMDECPiYuDVwPER8fcjf7oP+PX6IUqSpFVQJs8m0Fpq\n",
       "VVqm/3Nm/syC4tksBlumpRVnC9dqs8uApEVprJtHRHx7Zt4cEd/BmNsPZuYN9cOcjcm0tNpMpAT+\n",
       "oJK0GE0m01dm5ksiYi/jk+mn1o5yRibT0mqzv6wkaVEa6zOdmS8p/93ZQFySJEnS0pk0APF5jGmR\n",
       "XpOZ72wlIkk6gnN1S0NilxytkkndPK5icjL94pZiGheL3TykFeeXs4ZmVY9Zxzho6BqfZ7oPTKYl\n",
       "qf9WNXkcZ5UTSsc4aOianGf6RZn51ojYRdFCHaP/ZubuuaOVJC2F9eRx91ryeHZErETyON62XcW+\n",
       "WEsoOR4u2oVzLktLZ9NkGjix/PfrOLy7RzCh+4ckaRWZPGqNYxy0WibN5nFF+e8lC4tGkqSlsLoJ\n",
       "ZWZeFxHPKX9MAQdWusuPll+VOyA+ArgMeDJFi/RfAD+ZmX/TfngPxGCfaUnqsVXuI7wZ+5BLw9T4\n",
       "AMSI+ADweuDt5VMvAH48M59UO8oZmUxLUv+ZPEpaBm0k0zdm5mM3PPfRzHxczRhnZjItSdJq8ceZ\n",
       "utLk7cS3UQw2/Gngi8Bvl396AfCQzPyZOWOtzGRa43iilaTlZLchdanJZPo2xs/asTY13sNrRViD\n",
       "ybQ28kQrSctr3rmqbWzRPBqbZzozT28kImkOm58Qq0/D5UlV0jSeJ5aHc55r0SbNM/2AiPhnwBnA\n",
       "g9aey8y3tBWUhqPNL6AmToieVKV6Vim59DzRR/NMLeic51qsqcl0RFwCPAV4NPAHwLOAPwdMpldc\n",
       "+19Ak06IVU+0nlQXYSiJ11Di7NrqJZeeJ/rGuao1JFVapv818Djghsx8cURsB36r3bA0DN19AXmi\n",
       "7Y+hJF5DibMfTC7VvfKzWeOYW90b5qgbVZLpr2bmwYi4PyK+HvgccFrLcUlMOyFWO9F6Um3fUBKv\n",
       "ocSpxfM8sUxsbNGiVUmmPxgRDwGuBD4EfJniLohaee1+ATVxQvSkKtWxWsml54nlU79VW5rd1Ju2\n",
       "HLZwxOnASZl5Y1sBbfK+To3XU/ZBnd/Q9+FQpikcSpx9MfTjUpLqauMOiAE8FzibYt7pP8vMd80V\n",
       "5YxMprWsliXBG0riNZQ4JQ2L55bl0kYy/QbgERR3QAzg+cDfZObL5wl0FibTWlbz3phAzfILUdKs\n",
       "lqVRROsau2nLiKcCZ2TmofINrgI+Xi88aT4mO2qLs31I/TGsc72Dm1ddlWT6VuBhwG3l44eVz0kL\n",
       "tZzJzuSBXsP6Qhk6vxClPljOc72W2abJdES8u/zv1wH7I+J6ij7TZwEfXEBs0gbLl+xMmkXALxRJ\n",
       "q2lo5/rVmv1GR5rUMr3xQFjrXB0j/5c0p82ncBraF8rQ+YUoaXZOrahKU+NFxDcC30mRRF+fmZ+r\n",
       "tPKIc4HLgKOAN2bmL41ZZifwq8AxwOczc+eYZRyAqJUb5BHx4H3wmDPhm4GXAp/BwYntsltNf1k3\n",
       "q6Nv53qPvdXTxmwezwd+GfiT8qnvBn4qM//HlNcdBXwCeDpwJ0XXkBdm5v6RZbYC7wfOycw7IuKU\n",
       "zPz8vBul5bUqJ7Xyy+T34fLjimdeCXzla/CV85d1m6XN9C25Uvv6cq732FtNbczm8bPAd661RkfE\n",
       "NwD/C5iYTFP0rb41M28rX/d24Hxg/8gy/xb4vcy8A2BcIq3+qHpya/MkuDp3tdq2C3YfN9LFA3jF\n",
       "xzK/vALbLm1kl6dV059zvceepttSYZkA/s/I47vL56Y5Fbh95PEd5XOjHglsi4j3RcSHIuLfVViv\n",
       "OjAyGO4ZRTnpXcVz9ZZTHVvu7joCScV5LuLkPUXx/Catuiot09cC10XE2yiS6BcAf1jhdVUGKR4D\n",
       "nAk8DTgB+MuI+KvMvGXjghFxycjDvZm5t8L61Ziqv879Fd8MB8Otir5czu63/nwe2pxlx2Ohj444\n",
       "9g7Bgb1dRqTmleP3dtZ9/cRkuryV+K9RDD78rvLpKyreTvxO4LSRx6dRtE6Pup1i0OFXga9GxJ8C\n",
       "jwOOSKYz85IK76kVtWxfQqsyOnyR9daHY2RjDMW/Tn84Tb8+D+00GLSRpPfhmB+68tj7T/CK18K3\n",
       "b4GXbIErfzYi9rk/l0fZQLt37XFEvGbWFWxaKFqi/3rSMhNeezTwKeB04FjgI8CjNizz7cAfUcz2\n",
       "cQJwE8XdFjeuK+vEYGmuAOfASV+Bq7IoJ32FYuBoreW6iM3Sr9J0vRXr27anKIevpw/HyPgYTtxX\n",
       "/D/LclXCtj1d141lUj1u29NGnTW93j4c8+3Ww+af96HUuaW/Zda8c2LLdGZmROyLiLMy8/oZk/T7\n",
       "I+ICil/rRwFvysz9EfGy8u9XZObNEXEtcCNwCLgyM71VeQ9lxZahqss1a3xLUXFhpX6rjK06bWuu\n",
       "hW96q14fuh+NjeFbFvf+akabXU5uAp5X/v/hc66rD8d8O7yhlfqmSp/pHcCLIuJvgS+Xz2VmPnba\n",
       "CzPzD9nQvzozr9jw+FeAX6kWrrqUFUdXV12uXYdOnudk68l6aIaaOBz6W7jwBBpOzPwh2J5pDQb1\n",
       "9/09e+HKZ8Dl5eML6Uvf3C6Pp/HvvejPe3/67KunKjR1n16WbynL6cDpfW5ut6xWoYXL58twWY8F\n",
       "XgZtrt7qxTmtvpp8r6a3t+l66sO29rm0+bmYZ9/3tZtHl8fT5p+ZxZ+f+34+tTRe3znT8hVX+h3A\n",
       "TwA/DpzZ942yrF7ZeKKb92Q79GR6KAlVU19QVba3D1+Gi4hh/mO/+/3U7v5v73Mxz75v45zTRF12\n",
       "eS7c7L37en5b5s/OqpVZ886p3Twi4ueA7wPeSTEg8c0R8Y7MfO2010qLkhu6lhT9pee5LDf0y3pj\n",
       "L4P+VkR8fzZySboZG+ttnvVM66vf1HvNow8xTLL83Zv63B2o+XNO34+3uqp83hdt+T87mqhCdv5J\n",
       "4EEjj48HPtnnXwgWS+b8rQTzvr7bbR/XorPjsBYcetq6Y5m37vvT1aBvpe3tm/cz1cdzVpfniSGd\n",
       "o5b9s7NqZda8s8oAxDvLBPre8vGDOHK+aKl3cs5WmXlf362NrVyvAq4GPjPSEtfnVjrVlT1stZtV\n",
       "e1dM2r3iNO++L19Pse3bdkUEVV/fVstol8dTX47lrq/gaQAqZOe/D9wFXFWWO4F3UdzM5fI+/kKw\n",
       "WCwPtFJ9vmiRvvaI1pLxLSkn7htqa7ylqWOmFwM17x2J4RBwcbPr7+cxPs/+H0LLaJ/3/bx10ofP\n",
       "jqXRes9Zlq/SMv2uskBxi/C95b9BtVuGS+pAFq063w8ff1fRIn01h7fEbWyle/nX4OhHw+7jisf2\n",
       "+Vs12YuWwK2vg8uOG7liEvCK1zZ1x7ns9RWn9q8WddXK2sc+xdX2RbU6GffZKd7j5D2T169lMDWZ\n",
       "zsyrFhCHpBZMSo6O/NuxJ8NlZ9rtY7V1n2xu+ZYjn/v2LfBJj8WJpndh6TahHZeUvuJ1dFSnbeyL\n",
       "tc9Ose4TXwdHPR52b2lq/eqvKi3TkpbUaOK03oIyDPZjPNzQ98d6/IeOhR8b+curgBdRjIVfdvX7\n",
       "dFe7qtC7cRKPj4hzujlWq+6L2epkPUk/43j4UXq0r9Uik2lpic3W+jKc6QDHbNfTIuI/Zubruo2s\n",
       "mqYT3yr13Odke0z8wAXAP6NIpK/8Wl+PxaaM/JjYX/yYOO7uOgMY6W2yds+lcOHTgLKl9lXAj2yB\n",
       "N/c6wZy969Nakn7NYgJUP1TohP19VZ7rU0dwi2UIhR7ewGMRMTW0zz5/5HZtPdjHmMdvw2wDlabV\n",
       "yxDuADl5+8bFv/VAUc9b9/Up1vnqfXwdzlo/dT+nXR8HxQDnHQnPLQdFdzdIsq19sX4sX5uwPfv6\n",
       "mbNMPT5ypuUrrPDDVZ7r00ZZhl/6ntQ1s33tf6n1dYR/nfo9fJ/tyPHzaC922+ptR50fONPu7jgt\n",
       "ma72nl197vp6nDZ7nGxeh7Ns/7znji7PrV0n84vYF4dv467yR/5y/CBcpdJYMg08i2L6u88Bl5f/\n",
       "/zWK6fGu7/NGWYZdFnHC7eIL5fD3PHHfIpKHpvZlk/trk5gunrb+wxOOaxNOGWn12V5+cc2+Dxfd\n",
       "yjd7Mj19+SaStS4Tnbbfe1wdz1fvzf6Ami2ZHvYPj1n236z7ui+NMH2JwzJXHeZMy09Y0eOAHwL+\n",
       "jqIH/Q+V5bnAQ/q8UZZhl77fpezIdU0/aY55z4NF8tfONtaJcRH7a/P63Xpw+jyuG1+3K+EhWbRI\n",
       "75oa1+YJ1WLn9V1/z11l7FsPMmEe5SZalatsZ9ddgtpKQDb/8TZtfzR3vFTshjM6t/a91X5UVj/u\n",
       "hlZm3ddd/hi0LF9pLJkeWeExQ9soy7BL+8l0M+vf7OQ9/kt4tgSyTy0bTdfH+PXtqJgszt6iPbmu\n",
       "tta+QrDZfqlSd2UyV+EHBOcUVzGmLzv9WN26r+iDfOLYS86L7GrQg+N3TJ/76X3M5/8BNenzfsK9\n",
       "xedgRxb/P/zYXn//E/dtSLx7u+9bqLe5ruBYLFXLrHlnldk8nhQRrwFOZ332j8zMf1LhtVINQ5lV\n",
       "YtzUSj/2OjjqURtnVYBt41bwEbjo7uK/6yPE+3hzg2YdUb+H4CVbpr0qNx9VX2EGj03nuH38pFdN\n",
       "ngFj7HG6t1rdnfg8OGNLMeL/pcDlR0ybtX4cXH483AS84hDwEThw8SzHwvp6LluL6YTxS87yuevd\n",
       "FGsN23T7aplw7I6+38iNal55HFz52vU5il/+3cXX79oNlV7+NXjFDbBl5hk/JLWgQnb+CYr+09uB\n",
       "U9ZKn38hWIZfaLFllsb6EVdv8ZrlPfvWwtLU/ppQv1Mvuc+/DZvV1a7cMOL+gRlBqmz3xuN0hr7J\n",
       "Iy3N4/t7N3cFZdYW5yot/f06RmscvxOPuclXHdqcAWLt/TYOsB034Laf+7vlerObh2UhZda8s8oK\n",
       "PzC0jbJYppUmkvXxJ+/Nuw0MOVFp88fN4ta/sa7WBoFem8VUXTsSTtw3Tz1US6Y36/IzXx/mRR5P\n",
       "Q0tcxh1fk465SdvXxrF65PutdQFbq7PVS6br7Ou2zyOW1SltJNP/Gfhl4MnAmWulzxtlsSyqHNky\n",
       "OX+SMbREZShl1rqql0zXHei3dV+ddXV5PC174rLo7Zt8teaEe1ehn7TF0pcya94Z5Ys2FRF7gSMW\n",
       "ysynTnxhgyIiMzMW9X7SPJq401yf71a3TCbt58P7LEPZh3hq3/VpdTfLeps6DjyehmdjnRX/WofS\n",
       "Isyad05NpvvAZFpSF9pKQk1uJam/Gk+mI+IbgV8ATs3McyPiDODJmfmm+UKtzmRakiRJizBr3jl1\n",
       "OirgKmAP8M3l41uAn5w9NEmSJGm5VEmmT8nM3wEOAmTmfcD9rUYlSZIkDUCVZPofIuLktQcRsQP4\n",
       "UnshSZIkScNQ5Q6Iu4B3A/8kIv4C+AbgX7calSRJkjQAlWbziIhjgG8DAvhE2dVjYRyAKEmSpEVo\n",
       "YzaPo4H/Bzid9ZbszMzddYOclcm0JEmSFmHWvLNKN493A18FbgIO1Q1MkiRJWjZVkulTM/OxrUci\n",
       "SZIkDUyV2Tz2FHfrkiRJkjSqSsv0XwDviogtwNrAw8zMk9oLS5IkSeq/KgMQbwOeDfx1ZnbSZ9oB\n",
       "iJIkSVqENm4n/nfAx7pKpCVJkqS+qtLN49PA+yLiD4F/LJ9b6NR4kiRJUh9VTaY/DRxblgCm3+lF\n",
       "kiRJWnKk2u45AAAOnklEQVSV7oDYNftMS5IkaREav2lLRPxT4JUceQfE76kVoSRJkrQkqszmcSPw\n",
       "BuAG4GD5dGbmvpZjG43BlmlJkiS1ro3bid+XmW+YIyZJkiRpKVWZGu/dEfFjEfFNEbFtrbQemSRJ\n",
       "ktRzVW/acsRCmfnwlmIaF4PdPCRJktS6WfNOZ/OQJEmSSm3M5vE8jmyZ/hJwU2Z+bsb4JEmSpKVR\n",
       "pZvHHwBPBt5HccOWp1DM7PFw4Ocz8y2tB2nLtCRJkhagjdk8jgEelZmfLd9gO/CbwJOAPwVaT6Yl\n",
       "SZKkPqoym8dpa4l06XPlc3cD/zjphRFxbkTcHBG3RMSrJiz3nRFxf0Q8t1rYkiRJUveqtEy/r+zq\n",
       "8bsU3TyeB+yNiBOBL272oog4Cng98HTgTuCDEXFNZu4fs9wvAdeW65ckSZIGoUoyfQHwXOBsioGI\n",
       "VwO/l0Vn66dOeN1ZwK2ZeRtARLwdOB/Yv2G5HwfeAXznTJFLkiRJHZuaTGfmIYpk9x0zrvtU4PaR\n",
       "x3dQ9LN+QEScSpFgfw9FMt3/efokSZKk0qZ9piPi/eW//xARf7+hHKiw7iqJ8WXAz5St3IHdPCRJ\n",
       "kjQgm7ZMZ+Z3lf8+uOa67wROG3l8GkXr9KjvAN4eEQCnAM+KiPsy85qNK4uIS0Ye7s3MvTXjkiRJ\n",
       "kgCIiJ3AztqvrzDP9COAOzPz3oh4KvAY4C2Zuengw/J1RwOfAJ4G3AVcD7xw4wDEkeXfDLw7M985\n",
       "5m/OMy1JkqTWzZp3Vpka753A/RHxrcAVFC3Mb5v2osy8n2Lw4nXAx4Hfycz9EfGyiHhZ1QAlSZKk\n",
       "vqrSMv3hzHxCRPw08NXM/LW15xYToi3TkiRJWow2Wqb/MSL+LfADwP8fRQfnY+oGKEmSJC2LKsn0\n",
       "DwM7gF/IzE8Dp1PcTlySJElaaVO7eRy2cMQ24KGZeWN7IY19X7t5SJIkqXWNd/OIiD+JiJPKRHof\n",
       "8MaI+NV5gpQkSZKWQZVuHl+fmQcobin+lsw8C3h6u2FJkiRJ/VclmT4qIr4JeD7wB+Vz3vZbkiRJ\n",
       "K69KMv3zFHNFfyozry9v4nJLu2FJkiRJ/TfTAMSuOABRkiRJizBr3nl0hRUeD/wIcAZwfPl0ZuYP\n",
       "1wtRkiRJWg5Vunn8JrAdOBfYCzwU+IcWY5IkSZIGocrtxD+SmY+PiBsz87ERcQzw55n5pMWEaDcP\n",
       "SZIkLUYrtxMv//1SRDwG2Ap8Q53gJEmSpGUytc80cGV5w5afBa4BHgz8x1ajkiRJkgbA2TwkSZKk\n",
       "UhvdPCRJkiSNYTItSZIk1WQyLUmSJNU0cQBiRGylmF/61PKpO4DrMvOLbQcmSZIk9d2mLdMR8QPA\n",
       "PmAnxZ0Pjwe+B7ghIn5wIdFJkiRJPbbpbB4R8UngrI2t0BHxEOD6zHzkAuJbe09n85AkSVLrFjGb\n",
       "R//n0pMkSZIWYFKf6V8A9kXEHoq+0gCnAc8EXtt2YJIkSVLfTbxpS3nnw3OAby6fupNiAOIXFhDb\n",
       "aBx285AkSVLrZs07vQOiJEmSVPIOiJIkSdKCmExLkiRJNU27acsTgEcAH8vM/YsJSZIkSRqGSTdt\n",
       "+Tngd4DnAe+JiJcuLCpJkiRpACbdtOXjwBMz8ysRcTLFLB5PXGh067E4AFGSJEmta3IA4tcy8ysA\n",
       "mXn3lGUlSZKklTOpZfpLwJ+OPPUvgD8r/5+Z+eyWYxuNxZZpSZIkta6xeaYjYueE12Vm/smMsdVm\n",
       "Mi1JkqRF8KYtkiRJUk2N9ZmOiO+NiAtGHl8fEZ8uy/fNG6gkSZI0dJMGFf40cM3I42OBJwJPAf59\n",
       "m0FJkiRJQzDppi3HZubfjTz+83JWj7sj4sSW45IkSZJ6b1LL9ENGH2TmBSMPv6GdcCRJkqThmJRM\n",
       "f2DcXQ8j4keBD7QXkiRJkjQMk6bG2w78T+BrwA3l02cCDwK+NzM/s5AIcTYPSZIkLUajU+NFRADf\n",
       "AzwaSOBjmfnHc0c5I5NpSZIkLYLzTEuSJEk1NTbPtCRJkqTJTKYlSZKkmkymJUmSpJpMpiVJkqSa\n",
       "TKYlSZKkmkymJUmSpJpaT6Yj4tyIuDkibomIV435+/dHxEcj4saIeH9EPLbtmCRJkqQmtDrPdEQc\n",
       "BXwCeDpwJ/BB4IWZuX9kmScDH8/ML0XEucAlmbljw3qcZ1qSJEmt69s802cBt2bmbZl5H/B24PzR\n",
       "BTLzLzPzS+XDDwAPbTkmSZIkqRFtJ9OnArePPL6jfG4zPwK8p9WIJEmSpIYc3fL6K/chiYinAj8M\n",
       "fFd74UiSJEnNaTuZvhM4beTxaRSt04cpBx1eCZybmV8Yt6KIuGTk4d7M3NtcmJIkSVpFEbET2Fn7\n",
       "9S0PQDyaYgDi04C7gOs5cgDiw4A/Bl6UmX+1yXocgChJkqTWzZp3ttoynZn3R8QFwHXAUcCbMnN/\n",
       "RLys/PsVwM8BDwHeEBEA92XmWW3GJUmSJDWh1ZbpptgyLUmSpEXo29R4kiRJ0tIymZYkSZJqMpmW\n",
       "JEmSajKZliRJkmoymZYkSZJqMpmWJEmSajKZliRJkmoymZYkSZJqMpmWJEmSajKZliRJkmoymZYk\n",
       "SZJqMpmWJEmSajKZliRJkmoymZYkSZJqMpmWJEmSajKZliRJkmoymZYkSZJqMpmWJEmSajKZliRJ\n",
       "kmoymZYkSZJqMpmWJEmSajKZliRJkmoymZYkSZJqMpmWJEmSajKZliRJkmoymZYkSZJqMpmWJEmS\n",
       "ajKZliRJkmoymZYkSZJqMpmWJEmSajKZliRJkmoymZYkSZJqMpmWJEmSajKZliRJkmoymZYkSZJq\n",
       "MpmWJEmSajKZliRJkmoymZYkSZJqMpmWJEmSajKZliRJkmoymZYkSZJqMpmWJEmSajKZliRJkmoy\n",
       "mZYkSZJqMpmWJEmSajKZliRJkmoymZYkSZJqajWZjohzI+LmiLglIl61yTKXl3//aEQ8oc14JEmS\n",
       "pCa1lkxHxFHA64FzgTOAF0bEozYscx7wrZn5SOClwBvaikeSJElqWpst02cBt2bmbZl5H/B24PwN\n",
       "yzwbuBogMz8AbI2I7S3GJEmSJDWmzWT6VOD2kcd3lM9NW+ahLcYkSZIkNabNZDorLhc1XydJkiR1\n",
       "6ugW130ncNrI49MoWp4nLfPQ8rkjRMQlIw/3Zube+UOUJEnSKouIncDO2q/PbKchOCKOBj4BPA24\n",
       "C7geeGFm7h9Z5jzggsw8LyJ2AJdl5o4x68rM3NiCLUmSJDVq1ryztZbpzLw/Ii4ArgOOAt6Umfsj\n",
       "4mXl36/IzPdExHkRcSvwZeDFbcUjSZIkNa21lukm2TItSZKkRZg17/QOiJIkSVJNJtOSJElSTSbT\n",
       "kiRJUk0m05IkSVJNJtOSJElSTSbTkiRJUk0m05IkSVJNJtOSJElSTSbTkiRJUk0m05IkSVJNJtOS\n",
       "JElSTSbTkiRJUk0m05IkSVJNJtOSJElSTSbTkiRJUk0m05IkSVJNJtOSJElSTSbTkiRJUk0m05Ik\n",
       "SVJNJtOSJElSTSbTmioidnYdw6py33fL/d8t93933Pfdcv8Pi8m0qtjZdQArbGfXAay4nV0HsOJ2\n",
       "dh3ACtvZdQArbmfXAag6k2lJkiSpJpNpSZIkqabIzK5jmCoi+h+kJEmSlkJmRtVlB5FMS5IkSX1k\n",
       "Nw9JkiSpJpNpSZIkqabBJNMR8csRsT8iPhoR74yIr+86pmUXEedGxM0RcUtEvKrreFZJRJwWEe+L\n",
       "iI9FxF9HxIVdx7RqIuKoiPhwRLy761hWTURsjYh3lOf8j0fEjq5jWiUR8ery3HNTRLwtIo7rOqZl\n",
       "FRG/ERGfjYibRp7bFhHvjYhPRsSeiNjaZYzLbJP9P3O+OZhkGtgDPDozHwd8Enh1x/EstYg4Cng9\n",
       "cC5wBvDCiHhUt1GtlPuAn8zMRwM7gB9z/y/cTwAfBxxYsnj/FXhPZj4KeCywv+N4VkZEnA68BDgz\n",
       "Mx8DHAX8my5jWnJvpvieHfUzwHsz89uA/1U+VjvG7f+Z883BJNOZ+d7MPFQ+/ADw0C7jWQFnAbdm\n",
       "5m2ZeR/wduD8jmNaGZn5mcz8SPn/f6BIJr6526hWR0Q8FDgPeCNQeUS35le2Av2LzPwNgMy8PzO/\n",
       "1HFYq+QAxY/5EyLiaOAE4M5uQ1pemflnwBc2PP1s4Ory/1cD37vQoFbIuP1fJ98cTDK9wQ8D7+k6\n",
       "iCV3KnD7yOM7yue0YGVL0RMoPtRajF8Ffgo4NG1BNe7hwP+JiDdHxA0RcWVEnNB1UKsiM+8BLgX+\n",
       "DrgL+GJm/lG3Ua2c7Zn52fL/nwW2dxnMiquUb/YqmS77CN00pvyrkWX+A/CPmfm2DkNdBV7a7oGI\n",
       "eDDwDuAnyhZqtSwi/iXwucz8MLZKd+Fo4Ezg/8vMM4Ev42XuhYmIRwCvAE6nuBr24Ij4/k6DWmFZ\n",
       "zF/s93EHZsk3j15APJVl5jMm/T0ifoji0uvTFhLQarsTOG3k8WkUrdNakIg4Bvg94K2Z+T+7jmeF\n",
       "/HPg2RFxHvAg4KSIeEtm/kDHca2KO4A7MvOD5eN3YDK9SE8E/iIz7waIiHdSfCZ+q9OoVstnI+Ib\n",
       "M/MzEfFNwOe6DmjVzJpv9qplepKIOJfisuv5mXlv1/GsgA8Bj4yI0yPiWOAFwDUdx7QyIiKANwEf\n",
       "z8zLuo5nlWTmxZl5WmY+nGLg1R+bSC9OZn4GuD0ivq186unAxzoMadXcDOyIiOPL89DTKQbianGu\n",
       "AX6w/P8PAjamLFCdfHMwd0CMiFuAY4F7yqf+MjNf3mFISy8ingVcRjGa+02Z+Ysdh7QyIuJs4E+B\n",
       "G1m/xPfqzLy2u6hWT0Q8BdiVmc/uOpZVEhGPoxj8eSzwKeDFDkJcnIj4aYok7hBwA/D/lgPR1bCI\n",
       "+G3gKcApFP2jfw74feB3gYcBtwHPz8wvdhXjMhuz/19DMXvHTPnmYJJpSZIkqW8G081DkiRJ6huT\n",
       "aUmSJKkmk2lJkiSpJpNpSZIkqSaTaUmSJKkmk2lJkiSpJpNpSZIkqSaTaUmSJKmm/wu+d0yRvJNd\n",
       "WgAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108908290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m.plot_probs(0)\n",
    "plt.axhline(0.75);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "thr = 0.75\n",
    "idx = np.where(m.phi[:,0] < thr)[0]\n",
    "nidx = np.where(m.phi[:,0] >= thr)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAsgAAAJZCAYAAAC0kcOQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3X34ZHddH/z3ZxNIN9I03aXlMRLaklvgToXcFrGmsr00\n",
       "JD4UzNULkdK7ERHpDXXB3bRCpJIWSm/b7jbNZSktT6ZXEWtVhFQwWayr3LW2YhAjECMWMDwFzILh\n",
       "yYDZ7/3HzLJnf/t7nN/MnJk5r9d1zbUzZx7Od+c3c+Z9vufz/Z5qrQUAABjZ03cDAABgkQjIAADQ\n",
       "ISADAECHgAwAAB0CMgAAdAjIAADQISADLICqenZV3TKH9RyoqrtmvR6AZSYgA8xRVV1eVb9eVZ+t\n",
       "qnuq6v+rqm9orb2ptXZl3+0DIDm37wYADEVVXZDkvyZ5fpKfSXJekr+R5L4+2wXAmfQgA8zPJUla\n",
       "a+0/t5E/aa0da63dXlXfV1XvOvXAqnpqVf3euKf531bVr1bVc8f3fd+45/lfVtWJqvrfVXVV57nP\n",
       "qar3V9W9VfUHVfWDPfxfAZaWgAwwP7+X5P6q+smquqqq/vx6D6qqByf5L0l+JMm+8fO+KUnrPOxJ\n",
       "Se5Isj/Jv0jy+s59dyf5ztbaBUmek+RfV9UTp/2fAVhVAjLAnLTWPpfk8oyC7muTfKqq3lpVf3HN\n",
       "Q78jye+21n6htXaytXZjkk+uecxHWmuvb621JP8xycNOvU5r7e2ttQ+Nr/9aklszKuUAYBsEZIA5\n",
       "aq3d0Vp7TmvtoiT/Z5KHJ7khZ/YOPzzJR9c8de3trwbm1toXx1cflCRV9e1V9RvjQYCfyShw75/i\n",
       "fwNgpQnIAD1prf1ekpsyCspdH0/yyFM3qqq6tzdTVecl+bmMyi7+Ymvtzyd5e5KaRpsBhkBABpiT\n",
       "qvo/qupQVT1ifPuiJM9K8j/WPPTtSS6tqqdX1blJXpjkodtczQPHlz9KcrKqvj3JU6fyHwAYCAEZ\n",
       "YH4+l+Qbk/zPqvp8RsH4d5IcHt/fkqS19kdJnpFRL/AfJXlsknfn9HRwLWeWZHSf+7kkBzOaRu5E\n",
       "RgH8res9FoD11Wh8xy5eoOoNSb4zyadaa5eOl12f5AeSfHr8sJe21n5pVysCGKiq2pPkriR/p7X2\n",
       "q323B2DVTaMH+Y1JrlqzrCU52lp74vgiHAPswHge5AvHNcXXjRf/Rp9tAhiKXQfk1tq7knxmnbsM\n",
       "CAGY3Dcl+WBGR+K+M8l3t9accQ9gDmZZg/xDVfXeqnp9VV04w/UArJzW2j9prT24tXZBa+2bWmu/\n",
       "2XebAIZiVgH53yV5dJInJPlEkiMzWg8AAEzVubN40dbap05dr6rXJbl57WOqyihqAADmorW27fLf\n",
       "mQTkqnpYa+0T45tXJ7l9vcftpKFMV1Vd31q7vu92DJX3vz/e+355//vl/e+P975fO+2Y3XVArqo3\n",
       "J3lKkgdX1V1JXp7kQFU9IaPZLD6U5Pm7XQ8AAMzDrgNya+1Z6yx+w25fFwAA+uBMesN1vO8GDNzx\n",
       "vhswYMf7bsDAHe+7AQN3vO8GDNjxvhvA9u36THoTr7iqqUEGAGDWdpo79SADAECHgAwAAB0CMgAA\n",
       "dAjIAADQISADAECHgAwAAB0CMgAAdAjIAADQISADAECHgAwAAB0CMgAAdAjIAADQISADAECHgAwA\n",
       "AB0CMgAAdAjIAADQISADAECHgAwAAB0CMgAAdAjIAADQISADAECHgAwAAB0CMgAAdAjIAADQISAD\n",
       "AECHgAwAAB0CMgAAdAjIAADQISADAECHgAwAAB0CMgAAdOw6IFfVG6rq7qq6vbNsX1Udq6o7q+rW\n",
       "qrpwt+sBAIB5mEYP8huTXLVm2UuSHGutXZLkl8e3AQBg4e06ILfW3pXkM2sWPy3JTePrNyX57t2u\n",
       "BwAA5mFWNcgPaa3dPb5+d5KHzGg9AAAwVTMfpNdaa0narNcDAADTcO6MXvfuqnpoa+2TVfWwJJ9a\n",
       "70FVdX3n5vHW2vEZtQcAgIGoqgNJDkz8/FEH764bcXGSm1trl45v/4sk97TWfryqXpLkwtbaS9Y8\n",
       "p7XWatcrBwCATew0d+46IFfVm5M8JcmDM6o3/rEkb03yM0m+NsmHk3xPa+2zu2koAABMYu4BeVIC\n",
       "MgAA87DT3OlMegAA0CEgAwBAh4AMAAAdAjIAAHQIyAAA0CEgAwBAh4AMAAAdAjIAAHQIyAAA0CEg\n",
       "AwBAh4AMAAAdAjIAAHQIyAAA0CEgAwBAh4AMAAAdAjIAAHQIyAAA0CEgAwBAh4AMAAAdAjIAAHQI\n",
       "yAAA0CEgAwBAh4AMAAAdAjIAAHQIyAAA0CEgAwBAh4AMAAAdAjIAAHQIyAAA0CEgAwBAh4AMAAAd\n",
       "AjIAAHQIyAAA0CEgAwBAx7mzfPGq+nCSe5Pcn+QrrbUnzXJ9AACwWzMNyElakgOttRMzXg8AAEzF\n",
       "PEosag7rAACAqZh1QG5J3llV766q5814XQAAsGuzLrH45tbaJ6rqLyQ5VlV3tNbederOqrq+89jj\n",
       "rbXjM24PAAArrqoOJDkw8fNba1NrzKYrqnp5ks+31o6Mb7fWmvILAABmaqe5c2YlFlV1flX92fH1\n",
       "r0ny1CS3z2p9AAAwDbMssXhIkrdU1an1vKm1dusM1wcAALs2txKLs1asxAIAgDlYmBILAABYRgIy\n",
       "AAB0CMiwC1V1ZdX+W0eXurLv9gAAu6cGGSY0CsQXvCW5ce9oycEvJfde3Vq7pd+WAQBdO82dsz5R\n",
       "CKywfYeTo3uTa04t2JscOpxEQAaAJabEAgAAOvQgw8ROHEkOXp6kW2JxpNcmAQC7pgeZpbSbwXHT\n",
       "Glg3qjW+9+rk0LHR5cz6YwP4gGmzXYH5MEiPpbObwXHzGli32Xqq6rpk36HR8hNHW2uvmua6gdUy\n",
       "2p7sO5zctz855/HJjeeN7pn/wODTbUmSE0cMSmZZGKTH0tt6A7ybwXHzGli3/nqq6v9KLvhnydHx\n",
       "4oP/rKoiJMPq2k2oPL2zfXRv8pokfz/rbFey09efpE1ntiVJDl5eVWbuYSUJyCyU7W2A79s/+qF4\n",
       "W5IfnFEbtvfDsd5jx8suW/8Z+w6NwvE1nWWHDiURkGEFjbYH59+cXPKA0ZLfOVBVf2v7obK7s/22\n",
       "de4/uX+noXXyoGvmHoZDQGbBrN0A3743eeObqvbfNhoUlyQXPH7Ui5IkfzfJF+9LvrjNwXGbD6zb\n",
       "6IfjdNtGr3E6CJ/12FcmF7wsec7e5NrOek+tZ9+bdvBmAEvv/J9Izn/A6W3WtQ9I8hNJHrPz1/rB\n",
       "jLZ5pxz8UnJ/kn+7w9Aq6MJWBGQW2C1JbkpydH+SK0bB9v4PjOrvuj2wL35fa1/Y1oZ9HGyvHv8Y\n",
       "JLl3TQ/xej8cL3xVcs5jzw7N6/7IHDq97Iok1ye5857k3meP1300OfjPTq/vYJJ7jwZYUec9KvlX\n",
       "OXOb9cOPSrZ7tGrtTv0X70te/L5kzz3jne7DM23+pm0xcw+rS0BmwXQ3wK/Jmh+WvcmhR539nD33\n",
       "7GQN4x+hHfSUnPeoDXpbtnBlkk8mOXRbp/TiQPKFDyY//JCkvpzca5AerKjRd/7C9QYF7al60G+N\n",
       "joYdPTXgbt0yh7N36r94pNshMKo/3mlonSzobt3BAKtDQGahrNkAX5Zk/5mPOPmR5OD52bREYjcj\n",
       "rNf74djzkbPbsdFj7z2aHHzZ2vatU47xpeTeZ/hxgdV0+jv/3HOTQ517DiZ53jnJf79svQF3WWfn\n",
       "fbOd+klC626C7s47GGA5meaNhbXRVGmj62eH4GlN4bY2ZI/+3XDKto0G6a1Ztv/W5OgVp38Mb0py\n",
       "6Fhr9zx1J20DlsOZ3/lbMiq3+r2WfH+Njoz97SRPy5nbhBfelpw3PiK2PFOojXvKX5XseVRy30eS\n",
       "L1y3UdtNE0dfTPPGytiil2Odjep0Bp6s10OyUTvWe+w8elj8yMB0zfY79dVyqxPJpeOjUWsH3L3g\n",
       "vuTcLUsuFs24Y+KtyQ3jdl+7P2lvraqnr227aeJYJgIyc7XTH6FFOZy3+3ZMb3DLeNqotyaXjH+Q\n",
       "fudb1vsxArZnNsHt1Hf+9r3Jf09yx8nkszcnB5+ZdQfcPXB/csNlyzezxL7Do1DfHYT4mvOSO9dp\n",
       "u9kzWB4CMnMz+96DxR1hPd3BLV/zqmTveZ1po85L6lXxIwMTmn5wG3/nX5m89hXJjXuS7BmF43tf\n",
       "mRw6MHrU6QF3o5IMYFEIyGzLdA4/zrb3YNFHWE+vN3y9aaPOnN1DCQbMx+bftX0HkqN71mzzDqw/\n",
       "9mBxd/A3d+JIcvBbkpwqscjGc9Mv6/+RIRKQ2dIy1Y0tSknGbJ1cZ1aNkx85dW2Z/l6wGE4cSV7w\n",
       "LaPSgCT5nW2dfGia37VF38HfyLjdT09e3Bmk98V1B+lt9X/casfejj9z1Vrr5TJadT/rdtnp32rf\n",
       "rclPtqSNLz/Zkn23TvA3vzK54Iuj5/9kG13PlX3//5btMn4f/6TzPv5J932c1t/LxWUol62+Uxs/\n",
       "b/Pvmm3eZu/3vltHl9H7sdV75b102e1lp7lTDzJz05a0h2SRnO5BOfm+5IUZTQnlfYTdOWug2XnT\n",
       "KP+yzTvbRr3uW5fgGeDHfAnIbMP06sba+lOoOWy2DeufbOTEOodz1fnBtK2/ndr6u7beNm/YNgy6\n",
       "sFAEZLY0y14Q9bI7sb0eFL1WDNF2drQ3fszmQXez7ZTv2rRstbNhx5/5ciY9etH5obosec7+0awM\n",
       "iTPMbczZ+GB92zmL5laP2Sxgn/3duzbJG+9JcpujXjuz2d9hG2cmPT6aGeT0/fNuP8vLmfRYeGf3\n",
       "xlyb5IqMzjbFxqbfg6K8hdWwnaMrmz9m+6UQt2S0c3p0f5IrhnjUazfbjdO97i981WjKyj0f6d6X\n",
       "zt9gvZ779cvKYPoEZHpw1g9VkuszOhWrw2Yb2c3h3I17ZpS30L/F31Hr7py+JmvmIR/UYLHpbTfO\n",
       "eez4NfYnB9+y/msYmEd/BGQWxJ33JIduU8O3uUkG/Ew+ahxmbzqB66yjKyeT+/dX1ZXbrTPezJqd\n",
       "08ty1jzkQzKN7YZtD4tPQKYH6/5QPVswnhWjxllkk4el0z3P+5KceGXy4r+d5AnJ8/Ykl17W7Znc\n",
       "7YC6Uzuno3UefEsMFtuFk9vcwTAwj/4IyMz98KaR34vCjw/La/361HwguWHtqZ0nqDPemO3X7rYb\n",
       "o7/b+Y8fjT055eB9673GrN/rxS/toU8C8sBtcHjzlbMeKWxu0Hla/wfNDz19G21/LtyfvPhkcvue\n",
       "5NJsP3Ct2/P8qBk296uGvP3a/Xbj1ElZHprkPyT5eJL737fRa8zqvTYGg60IyIO33o/Mi1+RHN0z\n",
       "ummjsew2+0Eb8g89/TodUG7o1g3/dvKF6ybf3tz3keTg+TlzZ/D4aJq2RC/hdExnu3Hl+HJTkkP3\n",
       "7L5VO6UOms3NLCBX1VVJbkhyTpLXtdZ+fFbrYtq+bsNDlCyneQZhhy3ZnrMCyp7k0D2tfX6bn5f1\n",
       "jox84brR9a/uDB5PLniZXsJForSL5TCTgFxV5yT5iSTfluRjSX6zqt7WWvvALNbHbqw3+vt5e3pt\n",
       "EkvLYUvmZYtD/eOTf+y/VS/hYplHadf2dtIFdTY3qx7kJyX5YGvtw0lSVT+d5OlJBOQFs87G6njy\n",
       "2pcll9poMAGHLdnc6fBycn/ygvuSnDe6Z+fbGiVCy2mWf7ft7qQbg8FWZhWQH5Hkrs7tjyb5xhmt\n",
       "i11a5+xFv2WjwWTu2z86kcLbkvxg341hwVTVdcmFr0gu2ZN8c5LX3pe88LbkvHtms63RSzg8299J\n",
       "t4PFZmYVkNuMXpc5sNHglJ3UE497bh6f/P3xkr+b5Iv3JV8USDj1+XjFaBq2JPmRJM87L3njPa3d\n",
       "89RZrFMvIRuZZKzE6efctz95QJI99xhnsbpmFZA/luSizu2LMupFPkNVXd+5eby1dnxG7QF2aOf1\n",
       "xKemb+qeQvxFdyX7DlftP+yHZOj2HR7NjtP9fLxm5mu1wz80Wx81mGSsxOnnPGfvaOaNf5XtPpd+\n",
       "VNWBJAcmff6sAvK7kzymqi7OaJLDZyZ51toHtdaun9H6gV2bRj1x/aXk6F8ZXfdDwlp3nEw+6wgD\n",
       "U7O9owbrTm/6qmy6bTv1nLdlFI6Ns1h0407X46duV9XLd/L8mQTk1tqfVtU/yOgDc06S15vBAlbd\n",
       "RjOi+CEhWf/zce8/tsPEtE141OAJVXWlzyOnzGwe5NbaO5K8Y1avD8zazgY4nd1zc//+5NLL5tBQ\n",
       "loB6YBbHiSPJwW9N0qmHf+6e5I1n7cCfPevK/3PemtNkG/i5oqq1fsbTVVVrrVUvKwe2ZTcn/Thd\n",
       "s3djN2DvuMTCiUeW25q/3/FZn8YetqPqQb812oF/eEYz7nwyyaFj3QGj62zD7kvuf9/oukF6y2an\n",
       "uVNABmZm8pHiF74q2fOo5E8+k+Si5NXduXLVMS+JdQJGkucluTT+lvRpOzvw4xPNXHG6TOymrA3R\n",
       "LI+d5s6ZlVgA7LQWcPyj9dbkhnEgvnZ/8uUkD01yZaKOecmcNRgqpwc5+VvSn+2V/Jzcf/Yz11vG\n",
       "KhKQgQWy3lRxr0nyHzIOyABTsfUO/FdyZr3xteNlDMGevhsAUFVXjg5nZoNBfR/P6PDmwS+NBtic\n",
       "/dzRpaTohXLiyOhvdlPGf78kj85Gf0tYLOfdM9pZf9v4cs14GUOgBhno1Zm1gLcneW2SG8f3Xpvk\n",
       "i19J6vbRD9OZdczTGgjI7Bikx7KyfVktBukBS+XsgTDXJnnD55L6cnLfR5IvXLfRD5JBNNtnNhDY\n",
       "Od+b1WGQHrDkLk1SvyHkTs92T60rDMCZnKp8uARkoGc7OyHJ9J47JFufNny7IRpgCARkoFe7OcPa\n",
       "+LmvTA4dGj/36Knn6g3dqa1DNMBQCMhAb06H2H2ZJMSOez1f1un1fFlV/dbout7Q0/S0A+yEQXpA\n",
       "L6YxQnz9QXovvm10Fr6j++cxeG9Zeqq3aqcR+8AqM0gPWBIzO6T/hOSSXc3xvt3QO4+63WkF8K0G\n",
       "G+2m1AVg1QjIwBI7q3TgZPK8PckVOfNsfKdLCrbfk7qd0Dvbut1pBPCdBOz1QvSy9JADTJOADPRk\n",
       "93WxZ/d63r8/ufSy0Wmpb0pyfZI770nuffb4sdsInIs0WG3ztkw37J/NzBbAUAnIQC9mc0j/Cz+X\n",
       "HHxsvhq63/+lU+F4dHva4feskN+Sk99Y9aDf2uwEJ9Mwn7C/SDsLAPMjIAO92e0k/OuFxOTeVyaH\n",
       "DoxuTxK6t9+zfTrkv/hVSZ4wKu+49ILk2suS9taqevruQvJmbRFeAWZFQAaW2Loh8UB3too1ZQjH\n",
       "twq/G/Vsb1TOMLpv/+Hk6J4z655fc15y51mBdac1wRv3sp/cf/Yz1i5bG7BfcF/ywP2j2T+2U09s\n",
       "ejhgmARkYGVN2sO8tmd7WrW4k7zOxr3sX0lybef2teNlZz73dMC+b39y7uOTGy7bybrNbAEMkYAM\n",
       "LLGteji37mHenq3KGU4cSQ5+S5LzRrevTfLFryRfPLLx69yS5HF7kzvfVFXP3k7wPLP3ORm9zts6\n",
       "1994z9rnnArY4zmjz9tpScZuy2AAlpGADCytRenhHLfjnyYvekXyZ/ckD07yhyc3fsYtGQXVH0+S\n",
       "/cnBt2zVm7tO7/N9yb+7L3n1OJQrfwCYFmfSA1bWtM4Ot53XOfusftdm3KN726l639Ov87i9yd/P\n",
       "Ts70t8lZA8e9xpvXFDtTHjBkzqQHMDatHuadv84tGQXYo/uTXNGt9x29zp1vSrLOILud2nPPdstF\n",
       "FqW3HWAZ6EEGmIIze2hfk816iCfpzdUDDDA5PcgAPVjTQ3tZNukhnqQ3Vw8wwPzoQQaYMr29AItl\n",
       "p7lTQAaYgZ2cEASA2RKQAQCgY6e5c88sGwMAAMtGQAYAgA4BGQAAOgRkAADoEJABAKBjJgG5qq6v\n",
       "qo9W1XvGl6tmsR4AAJi2WZ1JryU52lo7OqPXBwCAmZhliYU5jgEAWDqzDMg/VFXvrarXV9WFM1wP\n",
       "AABMzcRn0quqY0keus5dP5rkN5J8enz7FUke1lp77prnO5MeAAAzt9PcOXENcmvtim026HVJbt7g\n",
       "vus7N4+31o5P2h4AAEiSqjqQ5MDEz5+0B3nTF616WGvtE+PrP5zkr7XW/s6ax+hBBgBg5ubWg7yF\n",
       "H6+qJ2Q0m8WHkjx/RusBAICpmkkP8rZWrAcZAIA52GnudCY9AADoEJABAKBDQAYAgA4BGQAAOgRk\n",
       "AADoEJABAKBDQAYAgA4BGQAAOgRkAADoEJABAKBDQAYAgA4BGQAAOgRkAADoEJABAKBDQAYAgA4B\n",
       "GQAAOgRkAADoEJABAKBDQAYAgA4BGQAAOgRkAADoEJABAKBDQAYAgA4BGQAAOgRkAADoEJABAKBD\n",
       "QAYAgA4BGQAAOgRkAADoEJABAKBDQAYAgA4BGQAAOgRkAADoEJABAKBj4oBcVc+oqvdV1f1Vddma\n",
       "+15aVb9fVXdU1VN330wAAJiPc3fx3NuTXJ3k33cXVtXjkjwzyeOSPCLJO6vqktbayV2sCwAA5mLi\n",
       "HuTW2h2ttTvXuevpSd7cWvtKa+3DST6Y5EmTrgcAAOZpFjXID0/y0c7tj2bUkwwAAAtv0xKLqjqW\n",
       "5KHr3HVda+3mHaynbfD613duHm+tHd/BawIAwFmq6kCSA5M+f9OA3Fq7YoLX/FiSizq3Hzlett7r\n",
       "Xz/B6wMAwIbGna7HT92uqpfv5PnTKrGozvW3JfneqnpgVT06yWOS/K8prQcAAGZqN9O8XV1VdyV5\n",
       "cpJfrKp3JElr7f1JfibJ+5O8I8kLWmvrllgAAMCiqb6ya1W11lpt/UgAAJjcTnOnM+kBAECHgAwA\n",
       "AB0CMgAAdAjIAADQISADAECHgAwAAB0CMgAAdAjIAADQISADAECHgAwAAB0CMgAAdAjIAADQISAD\n",
       "AECHgAwAAB0CMgAAdAjIAADQISADAECHgAwAAB0CMgAAdAjIAADQISADAECHgAwAAB0CMgAAdAjI\n",
       "AADQISADAECHgAwAAB0CMgAAdAjIAADQISADAECHgAwAAB0CMgAAdAjIAADQISADAEDHxAG5qp5R\n",
       "Ve+rqvur6rLO8our6ktV9Z7x5dXTaSrTVFUH+m7DkHn/++O975f3v1/e//5475fLbnqQb09ydZJf\n",
       "W+e+D7bWnji+vGAX62B2DvTdgIE70HcDBuxA3w0YuAN9N2DgDvTdgAE70HcD2L5zJ31ia+2OJKmq\n",
       "6bUGAAB6Nqsa5EePyyuOV9XlM1oHAABMXbXWNr6z6liSh65z13WttZvHj/mVJIdba7eNbz8wyde0\n",
       "1j4zrk3+hSSPb619bs1rb7xiAACYotbatsseNi2xaK1dMcHKv5zky+Prt1XVHyR5TJLbJm0kAADM\n",
       "y7RKLL4adqvqwVV1zvj6X8ooHP/vKa0HAABmajfTvF1dVXcleXKSX6yqd4zvekqS91bVe5L8lyTP\n",
       "b619dvdNBQCA2du0BhkAAIam1zPpVdW/rKoPVNV7q+rnq+rP9dmeoaiqq6rqjqr6/ar6kb7bMxRV\n",
       "dVFV/cr4BDu/W1UH+27TEFXVOeNZdm7uuy1DU1UXVtXPjrf776+qJ/fdpqGoqpeOtz23V9VPVdV5\n",
       "fbdplVXVG6rq7qq6vbNsX1Udq6o7q+rWqrqwzzausg3e/x1lzr5PNX1rRjNcfH2SO5O8tOf2rLxx\n",
       "ffhPJLkqyeOSPKuqHttvqwbjK0l+uLX2+IxKk17ove/Fi5K8P4nDZ/P3b5K8vbX22CR/NckHem7P\n",
       "IFTVxUmel+Sy1tqlSc5J8r19tmkA3pjR72zXS5Ica61dkuSXx7eZjfXe/x1lzl4DcmvtWGvt5Pjm\n",
       "/0zyyD7bMxBPyuhMhx9urX0lyU8neXrPbRqE1tonW2u/Pb7++YzCwcP7bdWwVNUjk3xHktelM7iY\n",
       "2Rv31vyN1tobkqS19qettT/uuVlDcW9GO+jnV9W5Sc5P8rF+m7TaWmvvSvKZNYufluSm8fWbknz3\n",
       "XBs1IOu9/zvNnH33IHd9f5K3992IAXhEkrs6tz86XsYcjXt0npjRl5T5+ddJ/mGSk1s9kKl7dJJP\n",
       "V9Ubq+q2qnptVZ3fd6OGoLV2IsmRJH+Y5ONJPttae2e/rRqkh7TW7h5fvzvJQ/pszMBtmTlnHpDH\n",
       "9Ta3r3P5W53H/GiSL7fWfmrW7cFh5b5V1YOS/GySF417kpmDqvquJJ9qrb0neo/7cG6Sy5K8urV2\n",
       "WZIvxCHmuaiqv5zkxUkuzuio1YOq6tm9Nmrg2miGBL/HPdhu5tz0RCHTsNXJRqrq+zI65Pmts24L\n",
       "SUaH1S7q3L4oo15k5qCqHpDk55L8p9baL/TdnoH560meVlXfkeTPJLmgqv5ja+3v9dyuofhoko+2\n",
       "1n5zfPtnIyDPyzck+fXW2j1JUlU/n9H34U29tmp47q6qh7bWPllVD0vyqb4bNDQ7yZx9z2JxVUaH\n",
       "O5/eWvuTPtsyIO9O8piqunh8WvBnJnlbz20ahKqqJK9P8v7W2g19t2doWmvXtdYuaq09OqMBSv9N\n",
       "OJ6f1tonk9xVVZeMF31bkvf12KQhuSPJk6tq73g79G0ZDVRlvt6W5Jrx9WuS6CSZo51mzl7nQa6q\n",
       "30/ywCQnxov+R2vtBb01aCCq6tuT3JDRSObXt9b+ec9NGoSqujzJryX5nZw+tPbS1tov9deqYaqq\n",
       "pyQ53Fp7Wt9tGZKq+vqMBkg+MMkfJHmOgXrzUVX/KKNQdjLJbUl+YDxQmxmoqjdndOK0B2dUb/xj\n",
       "Sd6a5GeSfG2SDyf5HidSm4113v+XZzRrxbYzpxOFAABAxyLNYgEAAL0TkAEAoENABgCADgEZAAA6\n",
       "BGQAAOgQkAEAoENABgCADgEZAAA6BGQAAOgQkAEAoENABgCADgEZAAA6BGQAAOgQkAEAoENABgCA\n",
       "DgEZAAA6BGQAAOgQkAEAoENABgCADgEZAAA6BGQAAOgQkAEAoENABgCADgEZYIlU1dur6v/uux0A\n",
       "q6xaa323AWBQqurDSfYmeXRr7YvjZT+Q5Nmttb/ZZ9sA0IMM0Jc9SV7UdyMAOJuADDB/Lcm/SnJt\n",
       "Vf25tXewMJ62AAAaf0lEQVRW1V+vqt+sqs9W1f+qqm/q3He8qp47vv5XqupXx4/7dFX9dOdxX1dV\n",
       "x6rqnqq6o6qeMY//GMAqEJAB+vHuJMeTXNtdWFV/PskvJrkhyb4kR5P84nh5MgrXp2rjXpHkl1pr\n",
       "FyZ5RJIbx6/xNUmOJflPSf5Cku9N8uqqeuwM/z8AK0NABuhHS/JjSX6oqh7cWf6dSe5srb2ptXay\n",
       "tfbTSe5I8rR1XuPLSS6uqke01r7cWvv18fLvSvKh1tpN49f47SQ/n0QvMsA2CMgAPWmtvS/Jf03y\n",
       "kpzuFX54ko+seehHxsvX+kdJKsn/qqrfrarnjJc/Ksk3VtVnTl2S/J0kD5n2/wFgFZ3bdwMABu7l\n",
       "SW5LcmR8++MZBdyuRyV5x9onttbuTvKDSVJV35zknVX1a0n+MMmvttaeOqtGA6wyPcgAPWqt/UGS\n",
       "/5zRjBYtyduTXFJVz6qqc6vqmUm+LqOe5jNU1TOq6pHjm58dP//+8WMvqaq/W1UPGF/+WlV93Tz+\n",
       "TwDLTkAG6N8/TXJ+krTWTmRUQ3w4yR9lNIjvu8bL1/qGJL9RVZ9L8tYkB1trH26tfT7JUzManPex\n",
       "JJ9I8s+TPHDW/xGAVbDrE4VU1RsyGlTyqdbapeNl1yf5gSSfHj/spa21X9rVigAAYA6m0YP8xiRX\n",
       "rVnWkhxtrT1xfBGOAQBYCrsOyK21dyX5zDp31W5fGwAA5m2WNcg/VFXvrarXV9WFM1wPAABMza5r\n",
       "kJOkqi5OcnOnBvkv5nT98SuSPKy19tw1z9n9igEAYBtaa9uubpjJPMittU+dul5Vr0ty8waPU4bR\n",
       "k6q6vrV2fd/tGCrvf3+89/3y/vfL+98f732/dtoxO5MSi6p6WOfm1Ulun8V6AABg2nbdg1xVb07y\n",
       "lCQPrqq7Mjor1IGqekJGs1l8KMnzd7seAACYh10H5Nbas9ZZ/Ibdvi4zd7zvBgzc8b4bMGDH+27A\n",
       "wB3vuwEDd7zvBgzY8b4bwPZNZZDeRCuuamqQAQCYtZ3mTqeaBgCADgEZAAA6BGQAAOgQkAEAoENA\n",
       "BgCADgEZAAA6BGQAAOgQkAEAoENABgCADgEZAAA6BGQAAOgQkAEAoENABgCADgEZAAA6BGQAAOgQ\n",
       "kAEAoENABgCADgEZAAA6BGQAAOgQkAEAoENABgCADgEZAAA6BGQAAOgQkAEAoENABgCADgEZAAA6\n",
       "BGQAAOgQkAEAoENABgCADgEZAAA6BGQAAOgQkAGAQaqqK6v23zq61JV9t4fFseuAXFVvqKq7q+r2\n",
       "zrJ9VXWsqu6sqlur6sLdrgcAYFpGgfiCtyRHrxhdLniLkMwp0+hBfmOSq9Yse0mSY621S5L88vg2\n",
       "AMCC2Hc4uXFvck1Glxv3jpbBFAJya+1dST6zZvHTktw0vn5Tku/e7XoAAGAezp3R6z6ktXb3+Prd\n",
       "SR4yo/UAAEzgxJHk4OVJ9o5uH/xScu+RXpvEwphVQP6q1lqrqrbefVV1fefm8dba8Vm3BwCgtXZL\n",
       "VV2dHBqXVdx7pLV2S7+tYlqq6kCSAxM/v7V1s+tOG3Fxkptba5eOb9+R5EBr7ZNV9bAkv9Ja+7o1\n",
       "z2mttdr1ygEAYBM7zZ2zmubtbRlVvGf87y/MaD0AADBVu+5Brqo3J3lKkgdnVG/8Y0nemuRnknxt\n",
       "kg8n+Z7W2mfXPE8PMgAAM7fT3DmVEotJCMgAAMzDopRYwEpwliWAxWPbzKzpQYYNnD7L0o3dKYCu\n",
       "NsoZoD+2zUxip7lz5tO8wfLadzg5uvf0eNPsHU8HZCMM0BvbZmZPiQUAAHToQYYNOcsSwOKxbWb2\n",
       "1CDDJka1bvvGZ1k64SxLAAvAtpmdMs0bAAB0mOYNAAB2QUAGAIAOARkAADoEZAAWirOkAX0zSA+A\n",
       "heEsacAsGKQHsAm9k4tu3+FROL4mo8uNe09P5wUwH04UAgzG6d7Jo6d6Jy+vKr2TAJxBQB4wE60z\n",
       "PPsOj8LxNacW7E0OHU7is78wnCUN6J+APFB60oBF1Fq7paquHu+4JLnXzjswdwbpDVTV/luTo1ec\n",
       "7km7KcmhY63d89Q+2wWzZAAYwDDtNHfqQWbhKQVhWvROArAdepAHall60palnQDA4tpp7hSQB2wZ\n",
       "emaVggAAu6XEgm0bB+KFC8UAAH0SkFlwpnwCAOZLiQULbxlKQQCAxaUGGQAAOnaaO/fMsjEAALBs\n",
       "BGQAAOgQkAEAoENABgCADgEZAAA6BGQAAOgQkAEAoENABgCADgEZGKSqurJq/62jS13Zd3sAWBwz\n",
       "PZNeVX04yb1J7k/yldbakzr3OZMe0ItRIL7gLcmNe0dLDn4pufdqpzGH4RptF/YdHt06ccT2YLXs\n",
       "NHeeO8vGJGlJDrTWTsx4PQA7sO9wcnRvcs2pBXuTQ4eTDOIHURCAM53eaT56aqf58qqy0zxgsw7I\n",
       "SaKXGGBBCAKwnmHvNHO2efQgv7Oq7k/y71trr53x+gC24cSR5ODlSbolFkd6bdLcCAIAW5l1QP7m\n",
       "1tonquovJDlWVXe01t4143UCbKq1dktVXT0OhknuVWYAgzbknWbWM9NBemesqOrlST7fWjsyvt2S\n",
       "/JPOQ4631o7PpTHMnZpHWAwGKML6/E6tlqo6kORAZ9HLdzJIb2YBuarOT3JOa+1zVfU1SW5N8k9a\n",
       "a7eO7zeLxUD4QYbFIggAQ7NIs1g8JMlbqurUet50KhwzNGoeYZGMA7HvH8AGZhaQW2sfSvKEWb0+\n",
       "AADMwjymeWPwDH4AmDWlMzA9cxukd9aK1SAPig03wOwY6wGb22nuFJABYMlV7b81OXrF6bEeNyU5\n",
       "dKy1e57aZ7tgUew0d+6ZZWOA+aiqK6v23zq61JV9t4fFM4vPiM8dsKr0IMOSc2iVrcziM+Jzt1j8\n",
       "PWBzizTNGzAXptFjK7P4jPjcLRJnh4TpEpABmNDtSf72+Pqj+2wIMb81TJOADEvPNHrLYqPZXGY/\n",
       "y8ssPiMnjievvSK5cXz7YJJ7j+/uNQEWgxpkWAGm0Vt8G9WIjq7PvnZ02p8RsyYAy0QNMgyQQ6vL\n",
       "YMOa3cyjltdnBGD7TPPGlkzlBItv/t/TE0dGvd03ZXQ5+KXRMlhefu84RYkFmzJ1EExHVV2XXPCK\n",
       "5MZxx8T0Siz6+p4q7WGV+L1bbc6kx1SpM4TdO/3D+7y9yX9PcsfJ5LP/uLX2qtP3Tx40fU9h93yP\n",
       "VpsaZICFs7b++KY9yaEDSV6VqA8GWDQCMlswhRiLZZLe1tUvBRju93T1/7bMz3C/R5xNiQVb8gPE\n",
       "opikRnCedYWbz3M82zYM8XuqZpRpG+L3aCjUIAMra5IawXnVFW4V1vzwTp+aUWC71CAD9GLDeY5v\n",
       "SdQZAywTARlYIpPUCKorXF3+tow4QsO0KbEAlsqiDtJTD9sPwQjfPbZDDTLAHKwXzIQ1mL+tatF9\n",
       "L0nUIANzNNQfntM9VkdP9VhdXlVXqzOGxbLFdxU2JCBDx1AD3ySG/cOz+YA8YJ42q0X3XWUyAjKM\n",
       "DTvwTcIPD9C/cXnT1ePtT5J7dW6wawIyfJXAx3aZPQEWycblTb6rTEZABiY03B8ePVawHHxXmZRZ\n",
       "LFgas64PNlXQzu3kb7JI9d2L1BYAZs80b6ykeYVXwWk2FmnnY5Hasgh85oEhMM0bK2o+9cGm6ZqV\n",
       "RarvXqS29MvAVID17em7AcDZqurKqv23ji51Zd/tYVXtOzzqSb8mo8uNe0/3JgMMlx5klsRwBoSt\n",
       "Zq/eIv39FqktW1vmEohlbjswbGqQWRpD+bHd6rSpy2qR/n6L1JbNzLpeepavr9YbWCRqkFlZ6oOX\n",
       "2yL9/RapLZubbb30bKfAUusNLK+ZBeSquirJDUnOSfK61tqPz2pdsFqWqwSA5bY8OwsA8zOTEouq\n",
       "OifJ7yX5tiQfS/KbSZ7VWvtA5zFKLGADy1ICwGwtc5nCMrcdWD0LMQ9yVX1Tkpe31q4a335JkrTW\n",
       "/t9JGwowRMu8s7TMbQdWy6LUID8iyV2d2x9N8o0zWhcsBGGAWVjmEohlbvsqsW2CnZtVQO5nagzo\n",
       "yWpOzQbMwjwDq20TTGZWAfljSS7q3L4oo17kM1TV9Z2bx1trx2fUHpgxI/aBrc0/sNo2MUxVdSDJ\n",
       "gUmfP6uA/O4kj6mqi5N8PMkzkzxr7YNaa9fPaP0AsCPz6dkVWGEexp2ux0/drqqX7+T5MwnIrbU/\n",
       "rap/kNEX/pwkr+/OYAHTtt4P23zr7kzNBstsdUsRbJtgEs6kx9LbYDqpVyYXvGyeU0wZCAPLa15n\n",
       "sOxj+rtZbZts81gmizKLBczRuocsD837MKYR+8BWZnv2wo3XmSlvm1a3xx1GBGQAmGMpwmrsTPdX\n",
       "S63nmnkQkFkB6/6wHU0Ovizq7oBt6KNnl53Tc828qEFmJfQ/SA9gOPo6lfi8asVZPWqQGaT1Dlmu\n",
       "xmHMydg5YGh85udr0Xrc/f2ZNj3IrJxJN5SrsoHtq2dnyFbls7OsfOaHY1FmLWL57DR3CsislEl/\n",
       "KFfpB9YhyPlapc/OsvKZH5a1O6TjAYP+/mxKiQUDN+nIame3YlI+OzBPa8vnqvYf7rE5rCgBGZbc\n",
       "2b0pceYsBsbZ4obN35/pU2LBShlaicVG7R5dVxM7D8v62Vk16sCHzd+frahBZkdWcaMypEF6ai8X\n",
       "wzJ+dgCGRA0y27bdCdeX7cd/0undhjwtHLvjswOwWgTkQdt6cJGzFi06tXfQt2XrRAC2JiCzBSP0\n",
       "F9mkk/X7QWeWhvT50okAq0lAHjS9j6tgp4f3/aAzS8P7fOlEWAVD2qljewTkAdte76MQvXr8oDNL\n",
       "Pl8sl+Ht1LEdAvLAbdX7OOkhfIBhmE0ngh7NebJTx9kEZLZkhP6qcVSAWRrW52sWnQh6NKF/5kGG\n",
       "AdI7xSz5fO2O+c3ny8l+hsE8yMCWHBVglny+WCZKCVmPHmQAWCB6NDfnCAWTcKppWGPtxnT0r43r\n",
       "NPihYuhm9R3w3VqfnQcmJSBDxzob0/uSP03y6vPGt21cJzSrHyrBgGUx1LC2m+/obr/f6rOZlBpk\n",
       "OMNZ0/ecl7wmpvOZhulPjWT0PstleNOD7eY76vvNMhGQgQUyvMABy2U339FpfL+HNY0g/RGQWXFn\n",
       "bUzHJRY3dUssbFwn4oeK/vVbkuM7MG9mnGBe1CCz8gzSm51ph5Oh1nQymUX4vAytZn437/ki/L0Y\n",
       "LoP0gKViB4ZJGbDVjz4H6cGkDNKDbZrXhtoPwsbWG7Qz6lEScGBR7eZEME4iw7IQkBmkeY2mNmp7\n",
       "K8s1KM/OzqJRAwzMhoDMQM0rmC1XAORMawLx8eSCl9nZWRwGbM2GHUEQkIFeLW4P4Nm9/y/+1uSG\n",
       "PXZ2FotD9tPlqBeMCMgM1LyC2eIGwEWw2D2Aa3v/X7On1+YsIT2Ry8hRL0gEZAZqXsFssQPgYlie\n",
       "HsBvTnLwZJJxULazs5lV7okU/GH1zWSat6q6PskPJPn0eNFLW2u/tOYxpnkDFtYGc7a+Mtl3YHRb\n",
       "MNrMqk7Btupz+a76/4/hWpRp3lqSo621ozN6fVgoepRWzya9/6/qtWH0bLVLEBz1gpFZlljoHWYQ\n",
       "VvlQ8tAtT/nHbE22A6j+flmtyudexwW7MasSi5cneU6SP07y7iSHW2ufXfMYJRashFU9lAzJNE4t\n",
       "vFoBRQnCcvB3Yq25lVhU1bEkD13nrh9N8u+S/NPx7VckOZLkueu8xvWdm8dba8cnbQ8wP6sYfNjI\n",
       "5CUFq9IT2aUEYVm+/6tdCsPWqupAkgOTPn/igNxau2I7j6uq1yW5eYPXuH7S9cPiGNahZCUlDN0q\n",
       "Bv/t8v1nWYw7XY+fuj2ubti2mdQgV9XDWmufGN+8Osnts1gPLILh9SjpmRmWYe0AspVl+f773LI7\n",
       "sxqk9+NV9YSMZrP4UJLnz2g9sBCG3KO0CJbjkO9yGt4OIKvA55bdmskgvW2t2CA9WEqLNvhl0doD\n",
       "q8z3jWW109wpIAM7Nqse20le1ywiMF+O2LCMFuVEIcAKm0VJicE/sByUlDEEAjKwICYd/GMwDgDT\n",
       "JSADS81gnJ1ziBxgc2qQgYVg8M98eJ+BITJID1haejZnz6BGYIgM0gOWlsE/zJIdMGC79CADDMhQ\n",
       "SyyG+v8GRpRYALCpIfakKi2BYVNiAcCmlLIAbE5ABmAAzJcNbJ8SCwAGYYilJcCIGmQAAOjYae7c\n",
       "M8vGAADAshGQAQCgQ0AGAIAOARkAADoEZAAA6BCQYReq6sqq/beOLnVl3+0BAHbPNG8woVEgvuAt\n",
       "yY3dEw9cbW7V5WWeXIDV5FTTMDf7DidH9ybXnFqwNzl0OE7hu5RO7/AcPbXDc3lV7XqHR+gGWD4C\n",
       "MkCSWezwzCp0AzBbAjJM7MSR5ODlSbolFkd6bRILxlEGgGUkIMOEWmu3VNXV48CT5F6Hz5eaHR4A\n",
       "RgzSAxibdr2wgZwAi2GnuVNABpghg/QA+icgAwBAx05zpxOFAABAh4AMAAAdAjIAAHQIyAAA0CEg\n",
       "AwBAh4AMAAAdEwfkqnpGVb2vqu6vqsvW3PfSqvr9qrqjqp66+2YCAMB87OZU07cnuTrJv+8urKrH\n",
       "JXlmkscleUSSd1bVJa21k7tYFwAAzMXEPcittTtaa3euc9fTk7y5tfaV1tqHk3wwyZMmXQ8AQB+q\n",
       "6sqq/beOLnVl3+1hfnbTg7yRhyf5jc7tj2bUkwwAsBRGgfiCtyRH946WHLy8qq52uvhh2DQgV9Wx\n",
       "JA9d567rWms372A9/ZzPGgBgIvsOj8LxNacW7E0OHU4iIA/ApgG5tXbFBK/5sSQXdW4/crzsLFV1\n",
       "fefm8dba8QnWBwAAX1VVB5IcmPj5re2uc7eqfiXJta213xrfflySn8qo7vgRSd6Z5K+0NSuqqtZa\n",
       "q12tHABgC6NyiX2HR7dOHNlOmcTpEosbT5VYfCm5V4nFktpp7pw4IFfV1UluTPLgJH+c5D2ttW8f\n",
       "33ddku9P8qdJXrTeh0lAZtlMsoEFoF+7Cbq2+6tjbgF5twRklomeBIDlVLX/1uToFadriW9KcuhY\n",
       "a/c4T8OA7DR3zmIWC1hBBmsAwFAIyADACjtxJDl4eZLuEcAjvTaJhafEArZBiQXA8lJLjBpkmBEb\n",
       "WABYTgIyAAB07DR37pllYwAAYNkIyAAA0CEgAwBAh4AMAAAdAjIAAHQIyAAA0CEgAwBAh4AMAAAd\n",
       "AjIAAHQIyAAA0CEgAwBAh4AMAAAdAjIAAHQIyAAA0CEgAwBAh4AMAAAdAjIAAHQIyAAA0CEgAwBA\n",
       "h4AMAAAdAjIAAHQIyAAA0CEgAwBAh4AMAAAdAjIAAHQIyAAA0CEgAwBAh4AMAAAdEwfkqnpGVb2v\n",
       "qu6vqss6yy+uqi9V1XvGl1dPp6kAADB7u+lBvj3J1Ul+bZ37Pthae+L48oJdrIMZqaoDfbdhyLz/\n",
       "/fHe98v73y/vf3+898tl4oDcWrujtXbnNBvDXB3ouwEDd6DvBgzYgb4bMHAH+m7AwB3ouwEDdqDv\n",
       "BrB9s6pBfvS4vOJ4VV0+o3UAAMDUnbvZnVV1LMlD17nrutbazRs87eNJLmqtfWZcm/wLVfX41trn\n",
       "dtlWAACYuWqt7e4Fqn4lyeHW2m07ub+qdrdiAADYptZabfexm/Yg78BXV1hVD07ymdba/VX1l5I8\n",
       "Jsn/XvuEnTQSAADmZTfTvF1dVXcleXKSX6yqd4zvekqS91bVe5L8lyTPb619dvdNBQCA2dt1iQUA\n",
       "AKySXs+kV1X/sqo+UFXvraqfr6o/12d7hqKqrqqqO6rq96vqR/puz1BU1UVV9SvjE+z8blUd7LtN\n",
       "Q1RV54xn2dlooDEzUlUXVtXPjrf776+qJ/fdpqGoqpeOtz23V9VPVdV5fbdplVXVG6rq7qq6vbNs\n",
       "X1Udq6o7q+rWqrqwzzausg3e/x1lzr5PNX1rkse31r4+yZ1JXtpze1ZeVZ2T5CeSXJXkcUmeVVWP\n",
       "7bdVg/GVJD/cWnt8RqVJL/Te9+JFSd6fxOGz+fs3Sd7eWntskr+a5AM9t2cQquriJM9Lcllr7dIk\n",
       "5yT53j7bNABvzOh3tuslSY611i5J8svj28zGeu//jjJnrwG5tXastXZyfPN/Jnlkn+0ZiCdldKbD\n",
       "D7fWvpLkp5M8vec2DUJr7ZOttd8eX/98RuHg4f22aliq6pFJviPJ69IZXMzsjXtr/kZr7Q1J0lr7\n",
       "09baH/fcrKG4N6Md9POr6twk5yf5WL9NWm2ttXcl+cyaxU9LctP4+k1JvnuujRqQ9d7/nWbOvnuQ\n",
       "u74/ydv7bsQAPCLJXZ3bHx0vY47GPTpPzOhLyvz86yT/MMnJrR7I1D06yaer6o1VdVtVvbaqzu+7\n",
       "UUPQWjuR5EiSP8zoXAWfba29s99WDdJDWmt3j6/fneQhfTZm4LbMnDMPyON6m9vXufytzmN+NMmX\n",
       "W2s/Nev24LBy36rqQUl+NsmLxj3JzEFVfVeST7XW3hO9x304N8llSV7dWrssyRfiEPNcVNVfTvLi\n",
       "JBdndNTqQVX17F4bNXBtNEOC3+MebDdzTmse5A211q7Y7P6q+r6MDnl+66zbQpLRYbWLOrcvyqgX\n",
       "mTmoqgck+bkk/6m19gt9t2dg/nqSp1XVdyT5M0kuqKr/2Fr7ez23ayg+muSjrbXfHN/+2QjI8/IN\n",
       "SX69tXZPklTVz2f0fXhTr60anrur6qGttU9W1cOSfKrvBg3NTjJn37NYXJXR4c6nt9b+pM+2DMi7\n",
       "kzymqi6uqgcmeWaSt/XcpkGoqkry+iTvb63d0Hd7hqa1dl1r7aLW2qMzGqD034Tj+WmtfTLJXVV1\n",
       "yXjRtyV5X49NGpI7kjy5qvaOt0PfltFAVebrbUmuGV+/JolOkjnaaebsdR7kqvr9JA9McmK86H+0\n",
       "1l7QW4MGoqq+PckNGY1kfn1r7Z/33KRBqKrLk/xakt/J6UNrL22t/VJ/rRqmqnpKksOttaf13ZYh\n",
       "qaqvz2iA5AOT/EGS5xioNx9V9Y8yCmUnk9yW5AfGA7WZgap6c0YnTntwRvXGP5bkrUl+JsnXJvlw\n",
       "ku9xIrXZWOf9f3lGs1ZsO3M6UQgAAHQs0iwWAADQOwEZAAA6BGQAAOgQkAEAoENABgCADgEZAAA6\n",
       "BGQAAOgQkAEAoOP/B2/N2du9qDiRAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109b6cfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,10))\n",
    "plt.subplot(211)\n",
    "plt.scatter(x[idx], y[idx]);\n",
    "plt.title('Signal')\n",
    "\n",
    "plt.subplot(212, sharey=plt.gca())\n",
    "plt.scatter(x[nidx], y[nidx]);\n",
    "plt.title('Noise');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
